Find the missing value in each row. Use the percent equation. Principal (P) $100 $500 $200 :1 1. Interest Rate (r) 5% 4% 10% Time in Interest years (1) years (1) Earned (1) 3 7 2 $20 $35 $6​

Answers

Answer 1

The missing values are as shown below:

A.) 15

B.) 1 year

C.) $50

D.) 1.5%

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The percentage equation goes thus:

Interest earned = principal * rate * time

A)

Principal: $100 Interest rate: 5% Time in years: 3 Interest earned

Interest earned = $100 * 0.05 * 3

Interest earned = $15

B.)

Principa;" $500 Interest rate: 4% Time in years: interest earned: $20

Interest earned = principal * rate * time

20 = 500 * 0.04 * time

20 = 20 * time

Time = 20 / 20 = 1

Time = 1 year

C.)

Principal: Interest rate:10% Time in years: 7 Interest earned:$35

Interest earned = principal * rate * time

$35 = principal * 0.1 * 7

$35 = principal * 0.7

Principal = $35 / 0.7

Principal = $50

D.)

Principal: $200 Interest rate: Time in years:2 Interest earned: $6

Interest earned = principal * rate * time

$6 = $200 * rate * 2

$6 = $400 * rate

Rate = $6/$400

Rate = 0.015 = 1.5%

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Related Questions

While playing a game with her friends, Ellen scores 12 points less than twice the lowest score. She scored 98. What was the lowest score in the game?

Answers

if she scores 98 and the lowest is 12 down the lowest is 86

A synthetic fiber used in manufacturing carpet has tensile that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. (a) Find the probability that a random sample of n = 6 fiber specimens will have a sample mean tensile strength that exceeds 75.75 psi. 75.75 - р X- р M P[X > 75.75] = P o In o Tn 75.75 – 75.5 P[X > 75.75] = P2> 3.5 va = P[Z > 0.175] = 1-0(0.175) = 0.4325 BC (b) How is the standard deviation of the sample mean changed when the sample size is increased from n = 6 to n = 49?

Answers

The probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi is 43.25%.

Given that,

The tensile strength of a synthetic fiber used to make carpet is regularly distributed, with a mean of 75.5 psi and a standard deviation of 3.5 psi. We have to determine probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi.

We know that,

The Z score is used to determine how far the raw score deviates from the mean, either above or below.

z = (score - mean) / (standard deviation ÷ √sample)

Mean 75.5 psi and standard deviation 3.5 psi. n = 6.

For > 75.75:

z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17

P(z>0.17) = 1-P(z<0.17)

= 1-0.5675

= 43.25%

Therefore, The probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi is 43.25%.

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5а – 2 = 8
6
a = [?]

Answers

Answer:

5a=8+2

5a=10/:5

a=2

it is okay?

9^2/9^-4 using a single positive exponent

Answers

Answer:

9⁶

Step-by-step explanation:

[tex]\dfrac{9^2}{9^{-4}} = 9^2 9^{4} = 9 ^ {(2 + 4)} = 9^6[/tex]

Reciprocal of a number raised to exponent is the same as the number raised to the negative of the original exponent

So
[tex]\dfrac{1}{9^{-4}} \text{ becomes } 9^4[/tex]

Using your answer from the previous question, state the value of ‘w’ if the perimeter of the rectangle is equal to 37 feet and the length is equal to 4 feet.

Answers

Answer:

16.5

Step-by-step explanation:

hence the answer is 16.5 feet

Where does the graph of y = -3x - 18 intersect with the x axis?

Answers

It crosses at x = -6.
-18 is your y intercept so you mark -18 at y.
-3x/1 is your slope, so you go left 3 cubes, up 1 cube until you cross the x axis.

Use the appropriate normal distribution to approximate the resulting binomial distributions. A fair coin is tossed 130 times. What is the probability of obtaining between 56 and 73 tails, inclusive?.

Answers

The probability of obtaining between 56 and 73 tails, inclusive will be approximately 0.8561.

To approximate the resulting binomial distribution, we will use the normal distribution as an approximation when certain conditions are met.

The number of trials, n, is large n = 130.

The probability of success, p, is not too close to 0 or 1

Then the coin is fair, so p = 0.5.

We have to calculate the probability of obtaining between 56 and 73 tails, inclusive.

Mean (μ) = n x p = 130 x 0.5 = 65

Standard Deviation (σ) = √(np (1 - p))

(σ) = √(130 x 0.5 x 0.5) ≈ 5.7

Using a standard normal distribution, we can determine the z-scores corresponding to 56 and 73 tails:

z1 = (56 - μ) / σ ≈ (56 - 65) / 5.7

≈ -1.58

z2 = (73 - μ) / σ ≈ (73 - 65) / 5.7

≈ 1.40

P(56 ≤ x ≤ 73) ≈ P(-1.58 ≤ z ≤ 1.40)

Now we can determine these probabilities and subtract them.

P(-1.58 ≤ z ≤ 1.40) ≈ 0.9155 - 0.0594

P(-1.58 ≤ z ≤ 1.40) ≈ 0.8561

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find the eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector . the larger eigenvalue has associated unit eigenvector .

Answers

The eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector is Ax = λx.

Symmetric matrix:

In algebra, symmetric matrix a square matrix that remains unaltered when its transpose is calculated.

Given,

Here we need to find the the eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector and the larger eigenvalue has associated unit eigenvector.

Here the eigenvector is a vector that is associated with a set of linear equations.

And in the eigenvector of a matrix is also known as a latent vector, proper vector, or characteristic vector.

Therefore, those are defined in the reference of a square matrix.

So, the smaller eigenvalue has associated unit eigenvector is Ax is λx.

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Classify each pair of numbered angles.

Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.



[Linear pair ] [ vertical ] [ adjacent ] [none of these ]

Answers

Based on the image given above, the angles that are numbered can be classified as:

∠1 and ∠2: vertical angles

∠3 and ∠4: adjacent angles

What are Adjacent Angles?

Angles that share the same vertex and also the same side, are said to be angles that lie next to each other which are called adjacent angles.

For example, the angles in the image given that are numbered as 3 and 4, share the same vertex and a common side. Therefore, they are adjacent angles.

What are Vertical Angles?

If two angles are formed to lie directly opposite to each other when two lines intersect at a point, the angles share a common point but do not share a common side. These set of angles are called vertical angles.

For example, in the image given, angles 1 and 2 are vertical angles.

Therefore, the angles would be classified as:

Angles 1 and 2: vertical angles

Angles 3 and 4: adjacent angles

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Answer:

3 and 4 are adjacent angles, and 1 and 2 are vertical angles.

Step-by-step explanation:

vertical angles are across from each other while adjacent is next to each other. the other person's explanation is better than mine though. :')

the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. (a) estimate how long it takes the population to double.

Answers

As the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year and according to that it will take 63.36 years to double the population.

A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study.

According to the question:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

P(t) = [tex](1.011)^{t}[/tex]

⇒ [tex]7.1[/tex] × [tex]2 = 7.1 (1.011^{t}[/tex]

⇒ [tex]\frac{7.1 * 2}{7.1} = 1.011^{t}[/tex]

⇒ [tex]1.011^{t}[/tex] = 2

Now let us solve for t using logarithm.

[tex]ln(2) = ln(1.011)^{t}[/tex]

⇒ ln(2) = t . ln(1.011)

⇒ 0.6931471805599 = t × 0.0109399400383

⇒ t = 0.0109399400383/ 0.6931471805599

⇒ t = 63.3593217

⇒ t ≈ 63.36

Therefore, it will take 63.36 years the population to be double.

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# 3 Mia has $50 on a gift card to her favorite
coffee shop. Each time she visits the coffee
shop she spends $3.75 on her favorite drink.
Write an equation to represent the relationship
between n, the number of times she visits the
coffee shop, and b, the total balance on her
gift card.
+

Answers

The equation to represent the relationship between n, the number of times she visits the coffee shop, and b, the total balance on her gift card is b = - 3.75n + 50

How to represent a situation with equation?

Mia has $50 on a gift card to her favourite coffee shop. Each time she visits the coffee shop she spends $3.75 on her favourite drink.

The equation to represent the relationship between n, the number of times she visits the coffee shop, and b, the total balance on her gift card can be represented as follows:

Therefore,

n = number of times she visit the coffee shopb = total balance on her gift card

Hence, the equation is as follows;

b = - 3.75n + 50

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Consider the equation xy = 0 In this equation, variables are multiplied and the result is Can the equation be true neither variable is equal to ? Can the equation be true only one variable is equal to 0If so, which one needs to be equal to Can the equation be true if both variables are equal to ? What process could you use to solve equations of the form (x + a)(x + b) = 0 In this case there are only two factors (values being multiplied ) that are being set equal to How would you solve the equation if there were more than two factors ? Explain

Answers

Answer: 1+1

Step-by-step explanation:

I not giving

HELP ME PLEASE!!! it’s for algebra and i really need to get this awnser right!! please literally anyone help me

Answers

Answer:

Below

Step-by-step explanation:

Start with point (3,5) slope (5/3) form:

(y-5) = 5/3 (x-3)        expand

y-5 = 5/3 x -5          re-arrange by adding 5 to both sides

y = 5/3 x                    done!

(7x³ + x² + x) divided by (x² + 1)

Answers

Answer:

Q=7x+1, R=-6x-1

Step-by-step explanation:

 7x + 1

 ----‐----------------------------

 x² + 1 | 7x^3 + x^2 + x

 -) 7x^3 +7x

---‐---‐----------------------------

 x^2 -6x

 -) x^2 +1

 --------------------

 -6x-1

a 8ft thick slice is cut off the top of a cube, resulting in a rectangular box that has volume 44ft . find the side length of the original cube. round your answer to two decimal places.

Answers

The side length of the original cube for the given measurements and condition is equal to 8.6ft.

As given in the question,

Let 'x' be the side of the original cube.

Volume of original cube = x³

As given 8ft thick slice is cut from the top of the cube.

Volume of the thick slice = 8x²

Volume of the resulting rectangular box = 44

⇒ x³ - 8x² = 44

⇒ x³ - 8x² -44 =0

Plot the graph of the function.

Graph is attached.

From the graph approximate value of side length 'x' = 8.6 ft.

Therefore, the side length of the original cube is equal to 8.6ft.

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Question-2
What is the distance between the zeros of the function defined by
6 (2x²+2-8)-2x (2x - 1)?

Answers

Answer:

(2x−1=2x−1) (mark me brainliest) <3!

I am in 6th grade, can somebody answer in 6th grade skill? Here is an incomplete equation of 534 divided by 6. I only have 4 minutes left and I am stressed out!!!!

Answers

The answer would be 89 after 534 divided by 6 and applying the concept of arithmetic operation.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

534 divided by 6

[tex]\begin{matrix}\:\:\:\:\:\:\emptyspace8\emptyspace9\:\:\:\:\:\:\:\:\:\:\:\:\\ 6\overline{|\smallspace534}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace5\emptyspace4\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace5\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

The A = 48

B = 54

C = 54

After applying the concept of arithmetic operation.

Thus, the answer would be 89 after 534 divided by 6 and applying the concept of arithmetic operation.

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I need HELP! I dont understand and need help!
algebra 2 please HELP

Answers

Answer:

[tex]y = 3.48(1.32)^{x}[/tex]

Step-by-step explanation:

8 = ab^3

42 = ab^9

b = 1.32

[tex]\frac{8}{(1.32)^{3} } =\frac{a(1.32)^{3} }{(1.32)^{3} }[/tex]

a = 3.48

Answer:

[tex]y = 3.48(1.32)^{x}[/tex]

A restaurant is offering a dinner special that includes one starter and one entree. The choices are listed below. How many possible dinner special combinations are there?
Starter: breadsticks, soup, salad
Entree: beef, fish, chicken, shrimp, pork

Answers

The total number of possible dinner combinations are 15

What are Combinations?

The number of ways of selecting r objects from n unlike objects is calculated by combination. The formula for combination is

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of dinner combinations be = T

Now ,

The values of Starters is represented in set = A

The values of Entree is represented in set = B

The values of Set A = { bread sticks , soup , salad }

The values of Set B = { beef , fish , chicken , shrimp , pork }

Now , the total combinations of possible selection of Starters = ³C₁

The total combinations of possible selection of Entree = ⁵C₁

So , the total number of dinner combinations T = total combinations of possible selection of Starters x total combinations of selection of Entree

And , the equation is

The total number of dinner combinations T = ³C₁ x  ⁵C₁

The total number of dinner combinations T = 3 x 5

The total number of dinner combinations T = 15

Therefore , the value of T is 15

Hence , The total number of possible dinner combinations are 15

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A bin of 5 transistors is known to contain 2 that are defective. The transistors are to be tested, one at a time, until the defectives ones are identified. Denote by N1the number o tsis mad un the first defectiv is identified and by N2 ihe number of additional tests until the second defective is identified. Find the joint probability mass function of N1 and N

Answers

The joint probability mass function of N1 and N2 for the given transistors is 1/15.

Explain the term selection without replacement?The total number of things available for the initial selection is one extra than the number of units available for such second option when items are chosen without replacement. Due to the fact that one object has been chosen and not returned to the pool.

For the stated question-

Six transistors total.2 transistors are faulty in total.Four non-defective transistors are present.

N1: The number of tests conducted before the first flaw is found = 2/6.

N2: The number of tests that must be performed before the second problem is found = 1/5.

If N1 = 1 and N2 = 1, then

P(N1 = 1; N2 = 1) = 2/6 x 1/5

P(N1 = 1; N2 = 1) = 2/30

P(N1 = 1; N2 = 1) = 1/15

Thus, joint probability mass function of N1 and N2 for the given transistors is 1/15.

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ms. wilson's science test scores are normally distributed with a mean score of 84 (μ) and a standard deviation of 3 (σ). using the empirical rule, about 99.7% of the scores lie between which two values?

Answers

Using the empirical rule, about 99.7% of the scores lie between 75 to 93

In this question, we have been given ms. wilson's science test scores are normally distributed with a mean score of 84 (μ) and a standard deviation of 3 (σ).

We know that the empirical rule predicts that 99.7% within the first three standard deviations (µ ± 3σ).

An empirical rule is also known as 68-95-99.7 rule.

We find the interval (µ ± 3σ)

The upper value would be,

µ + 3σ

= 84 + 3(3)

= 84 + 9

= 93

and the lower value would be,

µ - 3σ

= 84 - 3(3)

= 84 - 9

= 75

Therefore, about 99.7% of the scores lie between (75, 93)

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Which of the equations is NOT equivalent to 6x = 20? Select all that apply. 6x ÷ 6 = 20 ÷ 6 6x ÷ 6 = 20 ÷ 20 6x + 5 = 20 + 5 6x − 1 = 20 − 1 6x × 6 = 20 × 20

Answers

These three expressions

6x ÷ 6 = 20 ÷ 6

6x + 5 = 20 + 5

6x − 1 = 20 − 1

will be equal to the given expression.

What is Expression ?

Operators, constants, and variables all come together to form an expression. A value can be produced by an expression using one or more operands and zero or more operators.

We have to check which equation will be equal to 6x = 20

6x ÷ 6 = 20 ÷ 6

After Multiplying both sides by 6.

We get, 6x = 20

6x ÷ 6 = 20 ÷ 20

After simplifying we get,

x = 1

Multiplying both sides by 6

6x = 6, Hence it doesn't satisfy.

6x + 5 = 20 + 5

Subtract 5 both sides of the equation

We get, 6x = 20

6x − 1 = 20 − 1

Adding 1 both sides of the equation,

We get, 6x = 20

6x × 6 = 20 × 20

After simplifying, we get

36x = 400

Hence, only

6x ÷ 6 = 20 ÷ 6

6x + 5 = 20 + 5

6x − 1 = 20 − 1

will be equal to the given expression.

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please help solve! cannot find answer and i’m trying to work on math

Answers

Answer: 19/21>8/9

Step-by-step explanation:

common denominator is 63

19*3=57 so thats 57/63

8*7=56 so thats 56/63

PLEASE HELP ME WITH THIS PROBLEM!!!!!!

Answers

Answer:

720

Step-by-step explanation:

100/5 = 20, so 20 tires made in 1 hour and 20 x 36 would be 720 so answer is 720

Need some help, explain.

Answers

Answer:

hope this will help you

suppose a random variable has population standard deviation 29.5. what is the margin of error corresponding to the 95% confidence interval for a sample mean constructed from a sample of size 53?

Answers

The margin of error corresponding to the 95% confidence interval for a sample mean constructed from a sample of size 53 is 7.94.

Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.

MOE = z x (SD / √n)

where MOE = margin of error

z = found by using a z-score table

SD = sample standard deviation = 29.5

n = sample size = 53

At 95% confidence level, the area in each tail of the standard normal curve is 2.5, and the cumulative area up to the second tail is 97.5.

(100 - 95) / 2 = 2.5

100 - 2.5 = 97.5

Find 0.975 in the z-table to get the value of z.

At p = 0.975, z = 1.96

Plug in the values to the formula and solve for the margin of error.

MOE = z x (SD / √n)

MOE = 1.96 x (29.5/√53)

MOE = 7.94

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catalina multiplied 842 and 3 and got 3326.how did she check to see if her answer is reasonable?

Answers

Answer: Take 3326 and divide by 3

Step-by-step explanation: This will check to see if her answer is correct or not. If 3326 is divided by 3 and gets 842 then her answer is correct!

If you can please give me a Brainliest, I only need 2 more to become an Ace, thank you!

Answer:

3326 ÷ 3 = 1108.666667

Step-by-step explanation:Question: 842 x 3 = 3326?

Check:

Take the answer 3326, and divide it by 3, and we should get 842:

3326 ÷ 3 = 1108.666667

It does not equal 842.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model f(t)=89−17log10(t+1),0≤t≤24 where t is the time in months.
(a) What is the average score on the original exam? (b) What was the average score after one year? (c) After how many months would it take for it to predict that the average dropped to 82? (Assume that the the model could continue past two years, if necessary)

Answers

Answer:

Step-by-step explanation:

please answer this question

Answers

The correct equation is Option A which states that x+16 = 70. The reason for this is opposite angles (or vertical angles) in parallel lines are congruent.

What are opposite angles?

When two lines intersect they form a pair of opposite or vertical angles. In this case, the vertical angles are:

70° ≅  t

p ≅ s

q ≅ (x +16)°

r ≅ u

Given that lines AB and CD are parallel, and that both cut through lines EF, that means q ≅ 70°

Hence,

∡ ApE = 70° = ∡DrF

If we need to find x

Since DrF (x+16) °= 70°

x = 54°

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Is -2/3 greater then 1 2/4

Answers

Answer: No

Step-by-step explanation:

Because 1 2/4 = 6/4 = 3/2 or 1.5

When the other one is a negative fraction which is very obviously that 1 2/4 is greater than -2/3

Answer: 1 2/4 is greater than -2/3

Step-by-step explanation: A positive number is always greater than a negative number, even when dealing with fractions

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