Part A
Study the two functions shown, A(t) and 12∙J(t). Based on the graph and the data, what kinds of functions are they? Choose among linear, quadratic, and exponential. Describe the features of each function that gave you clues.







15px









Space used (includes formatting): 134 / 15000
Part B
The equation A = Pert describes a bank loan that compounds continuously. The variables in the equation are described in the table:

Variable Definition
A This is the principal and interest on the loan. Principal is the amount of money borrowed. Interest is a graduated fee paid to the bank for the privilege of borrowing its money.
P This is the principal, or the amount of money borrowed. Don’t confuse P in the compounding interest equation with P in the profit equation. One is principal, the other is profit.
e This is Euler’s number, e ≈ 2.7, used in exponential functions that are continuously compounding.
r This is the interest rate expressed as a percentage.
t This is the time allotted, in years, to repay the loan. It’s also called the life of the loan.
For the sake of this activity, assume that you will collect profit from sales for a number of months and then use a portion of that profit to pay off the entire loan in one lump-sum payment once the loan terminates. Based on this assumption, what does the intersection of the 12∙J(t) curve and the A(t) curve represent? Explain using your own words.






15px









Space used (includes formatting): 0 / 15000
Part C
Take some time to gradually increase P in increments of $100,000 while keeping r and J(t) constant. What happens to the relationship between the two curves? What does this mean with respect to the bank loan? Why is this a dangerous situation with respect to the financial health of your business? Why would banks put safeguards in place to prevent this from occurring?







15px

Answers

Answer 1

Part A:

A(t) is a linear function, and 12∙J(t) is an exponential function. The straight line nature of A(t) indicates linear growth, while the curve of 12∙J(t) suggests exponential growth.

Part B:

The intersection of the 12∙J(t) curve and the A(t) curve represents the point where the accumulated profit from sales is sufficient to pay off the entire loan in one lump-sum payment.

Part C:

As P increases while keeping r and J(t) constant, the relationship between the two curves shifts, indicating a higher profit requirement to cover the increased loan amount. This is dangerous for business financial health and banks have safeguards to prevent excessive debt and defaults.

Part A:

From the given information, we have two functions: A(t) and 12∙J(t). Let's analyze their features to determine their types.

A(t) is a linear function:

A linear function is characterized by a constant rate of change and forms a straight line on a graph.

In the given graph, A(t) is represented by a straight line, indicating a linear relationship between the variables.

This suggests that A(t) is a linear function.

12∙J(t) is an exponential function:

An exponential function is characterized by a constant ratio or base and shows exponential growth or decay.

In the given graph, 12∙J(t) is represented by a curve that exhibits exponential growth.

The increasing rate of change as time progresses indicates an exponential relationship.

Therefore, 12∙J(t) is an exponential function.

Part B:

The intersection of the 12∙J(t) curve and the A(t) curve represents the point at which the profit generated from sales is sufficient to pay off the entire loan in one lump-sum payment. In other words, it represents the point in time when the accumulated profit matches the amount of the loan.

At this intersection point, the profit generated from sales has reached a level where it can fully cover the principal and interest owed on the loan. This indicates that the business has generated enough funds to repay the loan in its entirety.

Part C:

As the principal (P) is increased while keeping the interest rate (r) and 12∙J(t) constant, the relationship between the two curves changes. Specifically, the intersection point between the curves shifts to the right on the graph.

This change in the relationship between the curves signifies that the business needs a higher level of profit to cover the increased loan amount. It suggests that the business has taken on a larger loan, which requires a higher profit to repay.

This situation is considered dangerous for the financial health of the business because it increases the risk of not generating sufficient profit to repay the loan. If the business fails to generate enough profit to cover the loan payments, it may lead to financial instability and potential default on the loan.

To mitigate such risks, banks put safeguards in place to prevent businesses from taking on excessive debt. These safeguards include conducting thorough evaluations of the business's financial health, setting limits on loan amounts based on the business's income and creditworthiness, and assessing the repayment capacity of the borrower. These measures aim to minimize the risk of defaults and protect both the borrower and the lender.

for such more question on linear function

https://brainly.com/question/9753782

#SPJ8


Related Questions

Need the correct answers for this. Can you help me?

Answers

The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.

To determine the correctness of the statements and calculate the lengths and slopes of the given quadrilateral PQRS, let's perform a coordinate proof.

Length and slope of PQ:

The coordinates of points P and Q are P(0, 2) and Q(3, -4), respectively.

Length of PQ: √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(3 - 0)² + (-4 - 2)²]

= √[9 + 36]

= √45

= 3√5 (approx.)

Slope of PQ: (y₂ - y₁) / (x₂ - x₁)

= (-4 - 2) / (3 - 0)

= -6 / 3

= -2

Therefore, the length of PQ is approximately 3√5, and its slope is -2.

Length and slope of SR:

The coordinates of points S and R are S(-2, 1) and R(1, -5), respectively.

Length of SR: √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(1 - (-2))² + (-5 - 1)²]

= √[9 + 36]

= √45

= 3√5 (approx.)

Slope of SR: (y₂ - y₁) / (x₂ - x₁)

= (-5 - 1) / (1 - (-2))

= -6 / 3

= -2

Therefore, the length of SR is approximately 3√5, and its slope is -2.

Length and slope of SP:

The coordinates of points S and P are S(-2, 1) and P(0, 2), respectively.

Length of SP: √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(0 - (-2))² + (2 - 1)²]

= √[4 + 1]

= √5

Slope of SP: (y₂ - y₁) / (x₂ - x₁)

= (2 - 1) / (0 - (-2))

= 1 / 2

Therefore, the length of SP is √5, and its slope is 1/2.

Length and slope of HQ:

The coordinates of points H and Q are H(0, 2) and Q(3, -4), respectively.

Length of HQ: √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(3 - 0)² + (-4 - 2)²]

= √[9 + 36]

= √45

= 3√5 (approx.)

Slope of HQ: (y₂ - y₁) / (x₂ - x₁)

= (-4 - 2) / (3 - 0)

= -6 / 3

= -2

Therefore, the length of HQ is approximately 3√5, and its slope is -2.

Based on the calculations, we can conclude that both statements are correct:

The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.

The quadrilateral PQRS is not a rectangle since the lengths of the adjacent sides PQ and SP are not equal.

Summary:

Length of PQ is approximately 3√5, and its slope is -2.

Length of SR is approximately 3√5, and its slope is -2.

Length of SP is √5, and its slope is 1/2.

Length of HQ is approximately 3√5, and its slope is -2.

Learn more about parallelogram click;

https://brainly.com/question/28854514

#SPJ1

Type the correct answer in the box.
Fill in the missing term in the equation.
(1 + 2)(2+1) + blank
= 5(2+i)

Answers

Expanding the left side of the equation:
(1 + 2)(2 + 1) + blank
= 3(3) + blank
= 9 + blank

Expanding the right side of the equation:
5(2 + i)
= 10 + 5i

Since the left side of the equation (9 + blank) is equal to the right side (10 + 5i), we can deduce that the missing term should be equal to 1i.

Therefore, the missing term in the equation is "1i".

Classwork Topic: Solve problems 25 May 2023 1. Jessica and Melissa shared 12 pieces of dried pears. Jessica ate = of the dried pears! Melissa ate . How Pieces did they eat in all? What fraction of the dried eat altogether? many pears did they 2. There were is children playing in the park. One third of the children went home. How many children stayed in the park?​

Answers

Apologies, but your questions seem to have errors and incomplete information.

For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.

For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.

Please provide complete and accurate information for a precise answer.

What is the percentage is the discount of$38 and $95

Answers

The percentage discount between $38 and $95 is 150%.

How to compute the percentage discount?

We shall follow these steps to estimate the percentage discount between $38 and $95:

First, find the difference between the original price and the discounted price.

Next, divide the result by the original price.

Finally, multiply the result by 100 to present it as a percentage.

Given:

Original price = $95

Discounted price = $38

Difference = $95 - $38 = $57.

Next, Difference / Original price  * 100:

($57 / $38) * 100 ≈ 150%

Therefore, the percentage discount between $38 and $95 is 150%.

Learn more about percentage at brainly.com/question/24877689

#SPJ1

Simplify the rational expression
7x/14x^6

Answers

The simplified form of the rational expression [tex](7x)/(14x^6)[/tex] is [tex]1/(2x^6).[/tex]

To simplify the rational expression [tex](7x)/(14x^6)[/tex], we can begin by simplifying the numerator and denominator separately.

In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.

In the denominator, [tex]14x^6[/tex], we can see that both 14 and x^6 have a common factor of [tex]2x^6[/tex].

So, we can rewrite the denominator as

[tex]14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.[/tex]

Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:

[tex](7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)[/tex]

Therefore, the simplified form of the rational expression[tex](7x)/(14x^6)[/tex] is [tex]1/(2x^6).[/tex]

for such more question on rational expression

https://brainly.com/question/28832980

#SPJ8

Plot ΔABC on graph paper with points A(10,4), B(-1,1), and C(4,2). Reflect ΔABC by multiplying the x-coordinates of the vertices by −1. Then use the function (x,y)→(x−5,y+4) to translate the resulting triangle. Name the coordinates of the vertices of the result. Question 4 options:

Answers

These are the coordinates of the vertices of the transformed triangle.

Vertex A: (-15, 8)

Vertex B: (-4, 5)

Vertex C: (-9, 6)

To plot ΔABC and perform the given transformations, let's follow the steps:

Plot ΔABC:

Point A(10,4)

Point B(-1,1)

Point C(4,2)

Reflect ΔABC by multiplying the x-coordinates by -1:

Reflecting A: (-10,4)

Reflecting B: (1,1)

Reflecting C: (-4,2)

Translate the reflected triangle using the function (x,y) → (x-5, y+4):

Translating (-10,4): (-10-5, 4+4) = (-15, 8)

Translating (1,1): (1-5, 1+4) = (-4, 5)

Translating (-4,2): (-4-5, 2+4) = (-9, 6)

for more such questions on vertices

https://brainly.com/question/29660530

#SPJ8

Calculate the unshaded portion of the figure

Answers

Answer:

Approx 8.47 [tex]m^2[/tex]

Step-by-step explanation:

First, find the area of the entire figure. Which can be found by multiplying the two sides of the square by each other=  [tex]6*6=36m^2[/tex]

Now, ignore the square and just focus on the pentagon and finding the area of that. The formula for the area of a pentagon is [tex]A=1/2Apothem*Perimeter[/tex]

In order to find the apothem, you can make a mini triangle and use trig (Tangent) to find the height (apothem) of the triangle. Then, you take the side length of the base of the pentagon which is 4 and then you multiply it by the number of sides (5) to get 20. Then, by plugging it into our formula, you use the apothem*10 (divided by 2) and you get the area, and then you just subtract that from 36.

A store has 7 bags of sugar in an aisle. Each small bag weighs 4 pounds. each large bag weighs 10 pounds. There are 52 pounds of sugar in the aisle. Write a system of equations for the situation. Be sure to identify what your variables represent.

Answers

Answer: 4 small bags, 3 large bags (equations below in explanation)

Step-by-step explanation:

x=number of small bags

y=number of large bags

x+y=7

4x+10y=52

Subtract them after multiplying the first equation by 4.

4x+4y=28

4x+10y=52

-6x=-24

x=4

x+y=7

4+y=7

y=3

Suppose you went to the doctor and the co-pay each visit is 25$, and the price for each round of the shots is $135.

If you went to the doctors 3 times a week for 2 months straight, Can you tell me how much you spent in total for them visit? Also, you only receive the shot 2 times out of the visit.

(visit)1=25 3x25=75 '' 8weeks within 2 months'' =co-pay

8x75=600$

2x8=16

16x135=2,160$ = shots

Trivia Question ?:) on a average how much did she spend each visit ?

Answers

Given statement solution is :- On average, she spent approximately $115 per visit.

To calculate the total amount spent on the visits, we need to add up the co-payments and the cost of the shots.

Co-payments:

The co-pay for each visit is $25, and you visited the doctor 3 times a week for 8 weeks within 2 months. So the total co-payment is:

3 visits/week * $25/visit * 8 weeks = $600.

Shots:

You received the shot 2 times out of each visit, and you visited the doctor 3 times a week for 8 weeks within 2 months. So the total cost of the shots is:

2 shots/visit * $135/shot * 8 weeks = $2,160.

Total amount spent:

Co-payments + Shots = $600 + $2,160 = $2,760.

Therefore, the total amount spent for the visits and shots over 2 months is $2,760.

Trivia Answer:

To find out the average amount spent per visit, we can divide the total amount spent by the total number of visits. In this case, the total amount spent is $2,760, and the total number of visits is 3 visits/week * 8 weeks = 24 visits.

Average spent per visit = Total amount spent / Total number of visits

Average spent per visit = $2,760 / 24 visits

Average spent per visit ≈ $115.

Therefore, on average, you spent approximately $115 per visit.

For such more questions on Total spent on doctor's visits

https://brainly.com/question/21946298

#SPJ8

A number n minus the sum of the number and eight

Answers

The algebraic expression for the sentence in this problem is given as follows:

n - (x + 8).

How to obtain the algebraic expression for the sentence?

The sentence in this problem is given as follows:

"A number n minus the sum of the number and eight".

The sum of an unknown number x and eight is given as follows:

x + 8.

The subtraction of the number n by the expression is given as follows:

n - (x + 8).

More can be learned about algebraic expressions at https://brainly.com/question/4344214

#SPJ1

100 points please help me answer this

Answers

The complete table for the function are

- f(1) - 3 = -5

- f(0) - 3 = -5.5

- f(2) - 3  = -7

- f(6) - 3 = undefined

- f(14) - 3 = -1

- f3(0) - 3 = 2

How to complete the missing parts of the table for the function.

From the question, we have the following parameters that can be used in our computation:

The function equation and the incomplete table of values

This is given as

g(x) = - f(x) - 3

From the table, the missing values are at all values of x

So, we have

- f(1) - 3 = -2 - 3 = -5

- f(0) - 3 = -2.5 - 3 = -5.5

- f(2) - 3 = -4 - 3 = -7

- f(6) - 3 = undefined

- f(14) - 3 = 2 - 3 = -1

- f3(0) - 3 = 5 - 3 = 2

Read more about functions at

brainly.com/question/27915724

#SPJ1

I NEED YOUR HELP! PLEASE HELP! I WILL MARK YOU BRAINLIEST!!!!!!!!!!Andrea has 533.8 cm 3 of modeling clay. She plans to use 8.4 cm 3 to form a right pentagonal prism. She will also make a second prism that is a dialation of the first prism with a scale factor of 4. Does Andrea have enough modeling clay for both prisms? Determine the amount of clay that andrea has left over or is short.​

Answers

If the height (h) of the prism is less than or equal to 0.978 cm, then Andrea has enough modeling clay for both prisms. If the height exceeds 0.978 cm, she will be short of modeling clay.

Let's calculate the volumes of both prisms:

Volume of the first prism: V1 = (8.4 cm²) × h

Volume of the second prism: V2 = (16 × 8.4 cm²)×(4h)

= 537.6 cm³ h

We know that Andrea has 533.8 cm³ of modeling clay.

To determine if she has enough clay for both prisms, we need to compare the total volume of the prisms to the amount of clay she has:

Total Volume = V1 + V2 = (8.4 cm²) × h + (537.6 cm³ × h)

Total Volume = (546 cm²) × h

Now we can set up the equation:

Total Volume ≤ Amount of Clay

(546 cm²) × h ≤ 533.8 cm³

Solving for h:

h ≤ 533.8 cm³ / (546 cm²)

h ≤ 0.978 cm

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ1

For the athletic banquet one adult ticket cost $15.00 and one student ticket cost $10.00. One hundred forty tickets were sold for a total of $1600. How many students tickets were sold

Answers

Answer:160 students

Step-by-step explanation:

did I do it

(your answer needs to be more than 20 characters long)

ery Test
What is the solution of this equation?
1
-3+
4
z = 1
Enter the correct answer.

Answers

The solution of this equation is z = 3.

We are given that;

1-3+4z = 1

Now,

To solve for z, we need to isolate it on one side of the equation. We can do this by following these steps:

Subtract −31​

from both sides to eliminate it from the left side.

Multiply both sides by z to eliminate the fraction on the left side.

Divide both sides by 4 to isolate z on the left side.

Let’s see how this works:

−31​+z4​=1

−31​+z4​=1

z4​=1+31​

z4​=34​

4=4/3 ​z

z=3*4​/4​

z=4/4×3​

z=3

Therefore, by the equation answer will be z = 3.

To learn more about equations :

brainly.com/question/16763389

#SPJ1

) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling

Answers

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

What is the quantity of goods and services that sellers are willing and able to sell known as?

Answers

The quantity of goods and services that sellers are willing and able to sell is known as the quantity supplied.

What is quantity supplied of goods by a seller?

Quantity supplied is defined as the amount of goods and services that a supplier is able to produce and sell at a given market price.

The quantity supplied differs from the actual amount of supply as price changes influence how much supply producers actually put on the market.

Learn more about production of goods here:

https://brainly.com/question/30124995

#SPJ1

you are dealt one card from a 52-card deck. find the probability that you are not dealt a two

Answers

Answer:

Step-by-step explanation:

48 out 52 cards are not a 2:

        [tex]P(not 2)=\frac{48}{52} =\frac{12}{13}[/tex]

A box plot uses a number line from 13 to 33 with tick marks every one-half unit. The box extends from 15 to 30.5 on the number line. A line in the box is at 21.5. The lines outside the box end at 14 and 32. The graph is titled Number of Points, and the line is labeled Points Scored in Basketball. What value does 75% of the data lie above? Find the value. Lower quartile (Q1) = 14 Lower quartile (Q1) = 15 Upper quartile (Q3) = 30.5 Upper quartile (Q3) = 32

Answers

Given statement solution is :- The quartile value above which 75% of the data lies is 31.625.

To find the value above which 75% of the data lies, you can determine the third quartile (Q3) of the data set. In this case, the upper quartile (Q3) is given as 30.5.

Since the data is represented on a number line with tick marks every one-half unit, we can divide the range between Q3 and the maximum value (32) into four equal parts. Each part represents 25% of the data.

To find the value that corresponds to 75% of the data lying above, we need to determine the value that is three-fourths of the way between Q3 and the maximum value.

First, calculate the range between Q3 and the maximum value: 32 - 30.5 = 1.5.

Next, divide the range by four to find the size of one-fourth of the range: 1.5 / 4 = 0.375.

Now, multiply the size of one-fourth of the range by three to find the size of three-fourths of the range: 0.375 * 3 = 1.125.

Finally, add the size of three-fourths of the range to Q3 to find the value above which 75% of the data lies: 30.5 + 1.125 = 31.625.

Therefore, the quartile value above which 75% of the data lies is 31.625.

For such more questions on quartile

https://brainly.com/question/28169373

#SPJ8

Deigo wrote 6^4*8^3=48^7. explain what his mistake was.

Answers

The index forms are of different bases and thus cannot be multiplied and their exponents added.

How to determine the value

To determine Deigo's mistake, we need to know index forms and their rules.

Index forms are defined as mathematical forms that are used in representing numbers or variables that are too large or too small in more convenient forms.

They are also called scientific notation or standard forms.

The rules of index forms are;

Subtract the exponents when like bases are dividedAdd the exponents when like bases are multiplied

From the information given, we have;

6⁴ × 8³ = 48⁴⁷

They are not of like bases and thus cannot be multiplied

Learn more about index forms at: https://brainly.com/question/15361818

#SPJ1

Graph the line. y=3x-8 ​

Answers

By connecting these points with a straight line, we can graph the line y = 3x - 8.

The line should have a positive slope, rising from left to right.

To graph the line y = 3x - 8, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this equation, m represents the slope of the line, and b represents the y-intercept.

Comparing the given equation with the slope-intercept form, we can see that the slope, m, is 3, and the y-intercept, b, is -8.

To plot the graph, we'll start by plotting the y-intercept, which is the point (0, -8)T.

his point represents where the line intersects the y-axis.

Next, we can use the slope to find additional points on the line. The slope of 3 means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 3.

Starting from the y-intercept (0, -8), we can move 1 unit to the right and 3 units up to reach the next point (1, -5).

We can continue this pattern to plot more points.

Using this information, we can plot multiple points and then connect them to form the line:

Point 1: (0, -8)

Point 2: (1, -5)

Point 3: (2, -2)

Point 4: (-1, -11)

Point 5: (-2, -14)

By connecting these points with a straight line, we can graph the line y = 3x - 8.

The line should have a positive slope, rising from left to right.

For similar question on straight line.

https://brainly.com/question/25969846

#SPJ8  

dos aviones de parte de una ciudad a las 8 AM el primer avión quiso regresar a la ciudad 5 horas y el segundo avión regresa casa 3 horas en cuanto tiempo volverán a dentrar a la ciudad

Answers

Both planes will reach the city at the same time again at 11 PM.

How to deal with periodic events?

Considering periodic events, they will repeat on the same day for the least common factor of the periods of each event.

The periods for this problem are given as follows:

5 hours.3 hours.

As 5 and 3 are prime numbers, the least common factor is given as follows:

5 x 3 = 15.

15 hours after 8 AM is of 11 PM.

More can be learned about the least common factor at brainly.com/question/10749076

#SPJ1

A lawnmower was discounted 32%. The lawnmower sold for $117.81 including sales tax of 5% of the sale price. What was the original price of the mower?

Answers

Step-by-step explanation:

We can begin by using the fact that the selling price was 117.81, including a sales tax of 5%. Let x be the original price of the lawnmower.

After the discount of 32%, the selling price is:

0.68x + 0.05(0.68x) = 117.81

Simplifying and solving for x, we get:

0.68x + 0.034x = 117.81

0.714x = 117.81

x = 165

Therefore, the original price of the lawnmower was $165.

-) Aspirin has a half-life of 6 hours in the blood stream. If a person takes 625mg, how long will it take for there to be 150mg left in the bloodstream?​

Answers

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Fill in the banks if you had this question before!!

Answers

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

How to write a system of equations to model this situation?

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

Read more on solution and equation here: brainly.com/question/25858757

#SPJ1

Please and this question ASAP. Multiply 31.5 percent times 600​

Answers

Answer:

189

Step-by-step explanation:

To multiply 31.5 percent by 600, you need to convert the percentage to a decimal by dividing it by 100 and then multiply it by 600.

31.5 percent = 31.5/100 = 0.315

Multiplying 0.315 by 600 gives us:

0.315 * 600 = 189

Therefore, 31.5 percent of 600 is equal to 189.

Find the area of the figure below.



Enter the answer as square inches.

Answers

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Henry has $21.50 to ride the trolley around San Francisco this week. It will cost him $0.50 every time he rides. Identify the dependent variable and the independent variable in this scenario.

Answers

Dependent variable: Total cost of riding the trolley

Independent variable: Number of times Henry rides the trolley.

In this scenario, the dependent variable is the total cost of riding the trolley, and the independent variable is the number of times Henry rides the trolley.

The dependent variable, the total cost of riding the trolley, depends on the independent variable, which is the number of times Henry rides the trolley. As Henry rides the trolley multiple times, the total cost will vary based on the number of rides.

The independent variable, the number of times he rides, determines the value of the dependent variable, the total cost.

for such more question on variable

https://brainly.com/question/19803308

#SPJ8

In English classmates teacher gifts for horses each worth five points after three quizzes. She has the score for three and four. What does she need to get on the last quiz to have a mean score for

Answers

Answer:

5

She must therefore earn 5 points on the last test to achieve a mean score of 4.

Step-by-step explanation:

The sum of the data divided by the total number of data represents the mean, which is the average of a set of data.

Find the area of the figure below.



Enter the answer as square inches.

Answers

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Answer:

area of rectangle+area of triangle= area of figure

6×5 + 1/2×4×6=30+24= 42

or

given figure is a trapezium

so we know are of trapezium= 1/2×sum of parallel sides×height

= 1/2×( 5+9)×6

=42

Convert the angle pi/3 radians to degrees.

Answers

Answer:

60 degrees

Step-by-step explanation:

To convert radians to degrees, multiply by 180/pi

pi/3 * 180/pi = 180/3 = 60 degrees

Step-by-step explanation:

3 radians =

171.887 degrees

 AreaData Transfer RateDigital StorageEnergyFrequencyFuel EconomyLengthMassPlane AnglePressureSpeedTemperatureTimeVolume 

  ArcsecondDegreeGradianMilliradianMinute of arcRadian 

 

  ArcsecondDegreeGradianMilliradianMinute of arcRadian 

Formula

3rad × 180/π = 171.887°

Other Questions
The ordinary differential equation of level 2 with a, b and c is a constant coefficient and a = 0 is given bya+by+cy=0(1)In the case where b2-4ac-0, 1-2-b/2a obtained, then the first solution for (1) is y(x) - and the second solution is repeated (same as the first solution). The stage reduction method assumes that ye of the form y(x) = v[x] y:x) that v(x) is another function to be looked for. Show that the second solution of y1/2-xe Consider the following discrete-time dynamicalsystem: Exercise 8.4 Consider the following discrete-time dynamical system: x = (1-a)xt-1 + ax3t-1 (8.41) This equation has eq = 0 as an equilibrium point. Obtain the value of a at which this equilibrium point undergoes a first period-doubling bifurcation. Cauchy Hadamard theorem application (the real-life usage ) ofthis theory Please show all work and make the answer clear. Thank you! (2.5num 6)dy Solve the given differential equation by using an appropriate substitution. The DE is of the form dx = f(Ax + By + C). dy dx = sin(x + y) Suppose that in a market inverse supply is given by PS (Q) = 5Q +2Q +30 and inverse demand is given by PD (Q) = 1713 - 12Q. a) (3 marks) Find the equilibrium price and quantity supplied. b) (6 marks) Compute consumer surplus. c) (6 marks) Compute producer surplus. which experimental evidence confirms the hypothesis that matter exhibits wave properties? Bottleneck Profit Product A has a unit contribution margin of $24. Product B has a unit contribution margin of $30. Product A requires four testing hours, while Product B requires six testing hours. Determine the unit contribution margin per production bottleneck hour for each product, assuming testing is a bottleneck constraint. Product A $ Product B $ is the most profitable in using bottleneck resources. a+company+issued+10%,+20-year+bonds+with+a+face+amount+of+$110+million.+the+market+yield+for+bonds+of+similar+risk+and+maturity+is+6%.+interest+is+paid+semiannually.+at+what+price+did+the+bonds+sell? Earth's climate OA. has been documented to have changed once due to the evolution of green photosynthesizing plants B. will stabilize over the next century, according to the predictions of most scientists OC. is changing over the century, according to the predictions of most scientists D. history is undeterminable because there is no method of studying the climatic history of the planet OE. has been stable over the history of the planet considering the following null and alternative hypotheses: H0: >= 20, H1 < 20. A random sample of five observations was: 18,15,12,19 and 21. With a significance level of 0.01. Is it possible to conclude that the population mean is less than 20?a) State the decision ruleb) Calculate the value of the test statisticc) What is your decision about the null hypothesis?d) Estimate the p-value. Write the hypothesis for the following cases:1- A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles.2- A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.4 years with a standard deviation of 6.3 years. If you were conducting a hypothesis test to determine if the population mean time on death row could likely be 15 years, what would the null and alternative hypotheses be? the number of doses and schedule for meningococcal vaccine varies depending on age and risk. based on this, select the recommended schedule. what is the right schedule for administering menveo vaccine to a healthy 2-month-old girl who will be traveling to an endemic area? Scarcity is defined as "The limits placed on the amounts and types of goods and services available for consumption as the result of there being only limited economic resources from which to produce output" (McConnel et all., 2021). Three items that would be considered scarce are coffee, donuts, and computers. "Things that are scarce are both limited and desirable" (Georgia Department of Education, 2017). Coffee, donuts, and computers are scarce because there are only so many of them in the world (limited) and humans want to consume these items (desirable). Coffee is desired as a caffeinated drink, donuts are desired as a tasty snack, and computers are desired for education and work purposes using the internet. The four scarce resources in economics are land, labor, capital, and entrepreneurship. These four resources all play a part in a fried chicken fast food restaurant. In this example, the land resources are the farmland used to raise the chickens as well as the land for the restaurants. The labor includes the people that tend to the chickens, transport the chickens, and prepare the chickens to be cooked and eaten. The capital is any equipment used to transport the chickens such as trucks as well as cooking equipment to produce the fried chicken. The entrepreneurship is shown in the person who came up with the recipe to make the fried chicken taste good as well as the person who came up with the idea of where to open the restaurants and how to brand them. I believe that capital would have the largest impact on expanding the production possibilities curve because having more machinery and equipment to produce goods would increase the maximum quantity of goods that can be produced and thus shift the PPC outward. I think that land, labor, and capital can only be stretched so far without upgrading the equipment and that capital is the most crucial in efficient production of goods. Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x+y + 3x - 9y-8 From what you've learned about Greek mythology, what type of creature did Percy see in the third grade? _____ Suppose that due to the reduced use of a local highway, the local government would reduce itspurchases of concrete. As a result, there is a reduction in the quantity of concrete supplied from8 million to 7 million cubic meters per year. The reduction in the concrete produced will drive theconcrete price down from RM5.5 per cubic meter to RM4.5 per cubic meter. In addition, theelasticity of demand in the concrete market at the new equilibrium is -0.35.a) From the perspective concrete producers, calculate the change in the producer surplusand report whether it is gain or a loss.b) Calculate the change in the consumer surplus and report whether it is a gain or lossc) Calculate the change in the social surplus and report whether it is a gain or a loss Which one of the following pairs of symbols represents two isotopes? 14T 13 14N 14 16 2 2 14 Q3 [25 marks] The permutation of two numbers is defined as below, Pin n! (n-1)! The permutation requires to calculate the factorials of two numbers, n and In - 1) where the factorial of a number,k is defined as, k! = ---- =k(k-1)(k - 2) - (2)(1) a. Write a MIPS subroutine to calculate the factorial of an input integer number. The Python code of the factorial function is defined as, def Fact(k): return(kl) The subroutine should strictly follow the calling convention for callee and registers and $a0. $0-$57, $v0, $sp and $ra, can ONLY be used. [10 marks) (a) Explain when a constant would be used in a predicate logic sentence. Give an example. (2 marks) (b) Give an example of two uncountable sets A and B such that A B is: (i) finite, (ii) countably infinite, (iii) uncountable. Consider the following ethical dilemmas that may face a researcher. Describe ways you might anticipate the problem and actively address it in your research proposal. What boundaries must researchers work within and who sets them?1. A prisoner you are interviewing tells you about a potential breakout at the prison that night. What do you do?