Answer:
the other one or both the best of the individual and the same thing I noticed a lot to do the job in my life in my life
what is the slope of the line passing through points (x,y) and (p,q)
Step-by-step explanation:
Let (x1,y1) = ( x, y)
(x2 , y2) = (p, q)
Then
Slope (m)
= (y2 - y1) / (x2 - x1)
= ( q - y) / ( p - x)
Hope it will help :)
A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it
will take until the car is worth a specific amount.
a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.
Then
b) How many years will Carl have until he new car is worth about $5000?
Answer:
(a) (log X - log 25000)/log 0.85 = t
(b) about 9.9 years
Step-by-step explanation:
(a) Let X = value and t = elapsed years since purchase; X in dollars
X = 25000 x 0.85 x 0.85 x 0.85 ... with a factor of 0.85 for every year
(If you lose 15% of value, you have 85% left, right?)
So if you do it for t years, you have t as the exponent on the 0.85 factor.
[tex]X = 25000(0.85)^t[/tex] is a good equation, but not logarithmic like they ask.
[tex]log X = log 25000 + log [(0.85)^t][/tex] because the log of a product is the sum of the logs of the factors
log X = log 25000 + t*log 0.85 because the log of a power is power times log
log X - log 25000 = t* log 0.85 just algebra, subtracting from both sides
(log X - log 25000)/log 0.85 = t just algebra, dividing both sides
(b) If we let X = $5000
t = (log 5000 - log 25000)/log 0.85
= (3.69897 - 4.39794)/-0.07058
= 9.90
So t = 9.9 years is a good estimate
Carl will have approximately 5.06 years until his new car is worth about $5000.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let V(t) be the value of the car t years after it was purchased.
We know that the car depreciates at a rate of 15% annually, so the value of the car after t years can be expressed as:
[tex]V(t) = 25000 \times (1 - 0.15)^t[/tex]
Simplifying this equation, we get:
[tex]V(t) = 25000 \times 0.85^t[/tex]
Now suppose Carl wants to know how many years it will take for the car to be worth x dollars.
We can set V(t) equal to x and solve for t:
[tex]25000 \times 0.85^t = x[/tex]
log0.85(25000) +[tex]log0.85(0.85^t)[/tex] = log0.85(x)
Since log0.85(25000) is a constant, we can subtract it from both sides of the equation:
[tex]log0.85(0.85^t)[/tex]= log0.85(x) - log0.85(25000)
Divide both sides of the equation by log0.85(0.85) = 1:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
Therefore, the logarithmic function that would find the number of years t it will take for the car to be worth x dollars is:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
b) We want to find the number of years it will take for the car to be worth $5000.
Substituting x = 5000 into the formula derived in part (a), we get:
t = [log0.85(5000) - log0.85(25000)] / log0.85(0.85)
t = 5.06
Therefore, Carl will have approximately 5.06 years until his new car is worth about $5000.
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help me on my geometry homework? :/
Answer:
You could use a graphing calculator I just used Desmos. Origin is (0, 0). Rotate 90 degrees about the origin.
I used triangles
The rotated point would be at (1, 2)
ANSWER: the question mark = 1
if George put $6,000 into a savings account that pays 3.5 percent in compound how many years would it take for him to have 18,000 dollars if no money is added or withdrawn during this time?(Round to the nearest tenth)
Answer:
57.1 years
Step-by-step explanation:
multiply the money put into savings by the interest rate 6000×.035=210
divide the total earned by the annual interest earned
12000÷210=57.1428571428
rounded to the nearest tenth is 57.1
Place the following expressions in order from the lowest value to the highest value.
Answer:
-4^0, 2^-3, (-3)^0, 5^1
Step-by-step explanation:
2^-3= 1/8 (the same as 0.125)
(-3)^0= 1
-4^0= -1
5^1 = 5
these numbers from lowest to largest would be -1, 0.125 (1/8), 1 and finally 5
making the answer -4^0, 2^-3, (-3)^0, 5^1
jessica and sarah collect insects.Jessica has two hundred thirty four insects sarah has 2.5 times as many insects as Jessica
How many insects does sarah have?
Answer:
585
sorry if i get it wrong
Step-by-step explanation:
Sarah has 585 insects if Jessica and Sarah collect insects. Jessica has two hundred thirty-four insects Sarah has 2.5 times as many insects as Jessica
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Jessica and Sarah collect insects. Jessica has two hundred thirty-four insects Sarah has 2.5 times as many insects as Jessica
Let x be the total insect Sarah has.
The insects Jessica has = 234
x = 2.5(234)
x = 585
Thus, Sarah has 585 insects if Jessica and Sarah collect insects. Jessica has two hundred thirty-four insects Sarah has 2.5 times as many insects as Jessica
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Which phrase best describes the scatter plot below
Answer:
strong negative correlation
Step-by-step explanation:
Simplify the expression
3 (x+4) -2x
X+4
x+12
3x+10
7-x
3x+12
Answer:
x+12
Step-by-step explanation:
3 (x+4) -2x
Distribute
3x+12 -2x
Combine like terms
x+12
Answer:Move
11
3
to the left side of the equation by subtracting it from both sides.
30
3x-12
+
1
x-4
-
11
3
=0
Step-by-step explanation:
3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method
Answer:
x = 2/5, y= -22/5
Step-by-step explanation:
4x−y=6;3x−2y=10
Step: Solve4x−y=6for y:
4x−y+−4x=6+−4x(Add -4x to both sides)
−y=−4x+6
-y/-1 = -4x +6 over -1 (Divide both sides by -1)
y=4x−6
Step: Substitute4x−6for y in 3x−2y=10:
3x−2y=10
3x−2(4x−6)=10
−5x+12=10(Simplify both sides of the equation)
−5x+12+−12=10+−12(Add -12 to both sides)
−5x=−2
-5x/-5 = -2/5 (Divide both sides by -5)
x= 2 /5
Step: Substitute 2/ 5 for x in y=4x−6:
y=4x−6
y=4 ( 2/ 5 ) −6
y= −22 /5
(Simplify both sides of the equation)
x = 2/5, y= -22/5
place value of 7 in 872 164
Answer:
70,000 = seventy thousand
Step-by-step explanation:
The place value of 7 in 8,72,164 is 70,000.
What is Place Value?Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.
Given the number 8,72,164,
find the place value by table,
number x multiplier = value
8 x 1,00,000 = 8,00,000
7 x 10,000 = 70,000
2 x 1,000 = 2,000
1 x 1,00 = 1,00
6 x 10 = 60
4 x 1 = 4
The place value of 7 is 70,000.
Hence the value of 7 is 70,000.
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find the center and radius of this circle (x+13)^2+(y+2)^2=81
Answer:
center (-13,2) radius=9
Step-by-step explanation:
(x+13)^2+(y+2)^2=81
x=-13
y=-2
r=sq rt of 81
The center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.
What is a circle and equation of the circle?A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form,
[tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]
Given equation of circle
[tex](x+13)^{2} +(y+2)^{2} = 81[/tex]..................(1)
By comparing the standard form of circle with equation 1, we get
(h, k) = (-13, -2) and
[tex]r^{2} = 81[/tex]
⇒ [tex]r = \sqrt{81}[/tex]
⇒ r = 9
Hence, the center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.
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PLEASE HELP ME ASAP!
Answer:
D. local maximum at the point (4, 18)
Step-by-step explanation:
Check the critical points and end points to test for any absolute extrema over the given interval.
The graph of which of the following inequalities has open circles on -8 and 2 with a line segment between them?
|x + 3| < -5
|x + 8| < 2
|x + 3| < 5
Answer:
1- |x+3| < -5 = No solutions
2- |x+8| < 2 =x<−6 and x>−10
3- |x + 3| < 5 = x<2 and x>−8
Step-by-step explanation:
2- _____________________________________________________
-18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10
3- ________________________________________________________
-18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
Answer:
the third one (C)
Step-by-step explanation:
In which quadrant is the point (-2, -9)?
Answer:
3rd quadrant
Step-by-step explanation:
Given:
Point (-2, -9)
Computation:
In 1st quadrant (+ , +)
In 2nd quadrant (- , +)
In 3rd quadrant (- , -)
In 4th quadrant (+ , -)
So given point (-2, -9) is in 3rd quadrant.
9 ≤ c + 1.
The solution is?
Answer:
8 ≤ c or backwards c ≥ 8
Step-by-step explanation:
subtract one from 9?
How many deciliters are equivalent to 9 cups? Use the conversion table to find the answer.
Answer:
9 cups = 21.2929 deciliters
Step-by-step explanation:
Hope this helps!
Find the value of x.
Answer:
D
Step-by-step explanation:
So first you know that the angles are across for each other meaning that they are equal.
Therefore the equation would be 7x-13 = 48
Simply do order of operations meaning you subtract 13 from 48 giving you 35.
Then do 35 divided by 7 which means X equals 5 which makes it D.
Answer:
Umm I am pretty sure this answer is 3
Step-by-step explanation:
Problem:
Ford cut a whole pizza into 8 equal parts. He gave 2 slices to each
brothers and ate the rest. What part did each one get?
Question:
1.)To whom did Ford give the 2 slices of pizza?
2.)How did he divide the pizza?
3.) What do you call a part of it?
plzzz....
i follow you
Answers:
1. his brothers :)
2. Into 8 equal parts
3. a fraction of the pizza, a slice
Answer:
1. his brothers
2. in 8 equal pieces
3. a slice
Step-by-step explanation:
what is the quotient of x^2 + 7x +12 and x +4?
Answer:
The Answer/Quotient is x+3
3 pizzas are shared equally between 10 people. What fraction of a pizza does each person receive?
Answer:
7
Step-by-step explanation:
and beetween 10-3 7 pizza
Assume you are buying a $15,000 car, with a 12 month loan at 5% interest, a net down payment of $2,500, and
a $40 (non-taxable) fee with 6% in sales tax.
What will be your monthly payment?
A. Between $1000 and $1049
B. Between $1050 and $1099
C. Between $1100 and $1149
D. Between $1150 and $1200
In mathematics, the radical sign, radical symbol, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number. The square root of a number x is written as {\displaystyle {\sqrt {x}}, } while the nth root of x is written as {\displaystyle {\sqrt[{n}]{x}}.} Wi
Answer:
Step-by-step explanation:
Answer:
What are you asking?
Which table represents the function y = 3 x – 1?
Input x 0 1 2
Output y -1 2 5
Input x 0 1 2
Output y -1 -2 -3
Input x 2 3 4
Output y 2 4 6
Input x 1 2 3
Output y 4 7 10
Answer:
the first set of values is correct
Step-by-step explanation:
when x =0,
y = 3(0) -1
y=-1
when x =1,
y=3(1)-1
y=2
when x=2,
y=3(2)-1
y=5
a rectangular field is 0.45 kilometers long and 0.3 kilometers wide what is the area of the field in square meters?
Answer:135000
Step-by-step explanation:
Answer:
The field has an area of 135,000 m².
Step-by-step explanation:
We first convert the measurements from kilometers to meters by multiplying by 1000.
- - - - - - - - - - - - - Length: 0.45 km = (0.45 × 1000) m = 450 m.
- - - - - - - - - - - - - Width: - - 0.3 km = (0.3 × 1000) m = 300 m.
So the field is a rectangle 450 meters long and 300 meters wide.
To compute the are of this rectangle, we multiply its length by its width.
- - - - - - - - - - - - - - Area = 450 × 300 = 135,000 m².
so the answer is 135,000 m².
The figure shows the dimensions of a backyard
Find the area
8 yd
eccles
30 yd
15 yd
30 yd
The area of the backyard is
square yards.
Yajaira is making cookies with her mom. The recipe calls for 7 eggs but they are making 2 batches. How many eggs should they use?
Answer:
14 eggs
Step-by-step explanation:
7 eggs for ine batch so if you are making 2 you would do 7 times 2 and get 14. 14 eeg is your answer
You are an entrepreneur and selling handmade kites. Your company Kites-R-Fun has been contacted by a customer in Alaska who wants to purchase several of your best-selling kites and wants you to ship them to her. You have already established the cost at $4 each and it's only going to cost you $8 to ship these items to Alaska. Your competitor Windy Kites sells the same items, but charges half of your price. However, if the customer buys from your competitor, she will be charged $20 in shipping costs.
Write two equations to represent the customer's total cost based on how many kites she purchases from each company where y is the total cost and x is the number of kites purchased.
1. Total cost for Kites-R-Fun *
y = 4x + 8
y = 4x + 20
y = 8x + 4
y = 8x + 20
2. Total Cost for Windy Kites *
y = 2x + 10
y = 2x + 20
y = 8x + 20
y = 20x + 4
3. If the customer in Alaska wants to buy 4 kits, who should she buy from? *
Kites-R-Fun
Windy Kites
4. If the customer in Alaska wants to buy 10 kits, who should she buy from? *
Kites-R-Fun
Windy Kites
Answer:
do you have the answers i’m taking this rn i’m gonna literally cry lol
Step-by-step explanation:
Answer:
Step-by-step explanation:
I'm not sure if I am correct or incorrect but these are my answers, I'm pretty sure they're correct but I'm not sure as I didn't turn it in yet
1. Fill in the table to find customer costs from each seller.
2. Write an equation to represent the customer's total cost to purchase from Kite-R-Fun.
Y = 4x + 8
3. Write an equation to represent the customer's total cost to purchase from Windy Kites.
Y = 2x + 20
4. Based on your table, if the Alaskan customer wants to buy 4 kites, who charges the least?
Kites - R - Fun
5. If the Alaskan customer wants to buy 10 kites, who charges the least?
Windy Kites
6. (6, 32)
7. Looking at your graph, find the solution and explain what it means in this situation
This point represented where prices have intersected
Explain
Don’t use for points or I’ll take it back and report
Answer:
answer is 27 degrees
Step-by-step explanation:
first of all interior angles of a right sided add up-to 180 degrees and you were given 2 angles already
90 + 63 + x = 180
153 -153 +x = 180 -153
x = 27
hope that helps
Help fill in the Punnett square
Answer:
Here is the completed punnett square
Answer:
e e
E Ee Ee
e ee ee
How to figure out diameter
Answer:
If you are given the area of a circle, the diameter is equal to the square root of four times the area divided by pi (diameter = √ (4 x area) / pi).
Answer:
A diameter of a circle is twice its radius!
Hope that helps!
Step-by-step explanation: