Your uncle purchases a $25,000 car this year. The car depreciates in value by 20% per year.

a) Write an exponential equation for the value of the car.

b) Use your equation to find the value of the car in 10 years.

c) When will the car be worth $10,000? Solve an equation with logarithms and show your work.

Answers

Answer 1

Answer:

b

Step-by-step explanation:


Related Questions

Mr.Harrison is reading a map to plan his vacation route. The map has a scale of 1 cm Equal 18 miles. He measure the length on the map for his vacation route to be 14 centimeters. What is the length of vacation route in miles?

Answers

Answer:

252 miles

Step-by-step explanation:

Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
O 73 rotations
O 83 rotations
O 780 rotations
O 880 rotations
SHOW YOUR WORK!!!

Answers

Answer:

880 rotations or D

Step-by-step explanation:

72 inches = 72 / 12 = 6 feet

1 mile = 5280 feet

1 rotation covers 6 feet

x rotations covers 5280 feet

1/x = 6/5280                       Cross multiply

6x = 5280 * 1                      Divide by 6

x = 5280 /6

x = 880

D

The density curve below represents the number of minutes Anastasia takes to go from her chemistry class to her Spanish class. у x 1 3 4 N What is the height of the density curve?

Answers

Answer:

0.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

HELP ASAP WILL GIVE 25 POINTS​

Answers

It says 13 I don't like it

PLZ HURRY!!!!!!!
This lesson is about proportional relationships there are three different problems it’s due by three

Answers

Answer:

Set 1) A and B are proportional because it is in the form of y = kx

Set 2) B is proportional because it is a straight line passing through the origin

Set 3) B and C because it uses the equation y = kx

What is the solution to this equation 2x + 10 equals 28

Answers

Answer:

X=9

Step-by-step explanation:

2X+10=28

     -10  -10

    2X=28

DIVIDE BOTH SIDES BY 2

In the image...i showed the work

y = 2(x - 2)2 + 1
10
What is the
a. Vertex
b. Axls of Symmetry line: x =
c.y.Intercepts:(

Answers

Answer:

Step-by-step explanation:

Vertex

I NEED HELP PLZ ITS FOR MY FINAL

Answers

Pls help me and explain why it’s that answers. Pls help me and explain why it’s that answers. Pls help me and explain why it’s that answers. Pls help me and explain why it’s that answers. Pls help me and explain why it’s that Pls help me and explain why it’s that answers. answers.

Based on a sample of 100 employees a 95% confidence interval is calculated for the mean age of all employees at a large firm. The interval is (34.5 years, 47.2 years).
A. What was the sample mean?
B. Find the margin of error?
C. Find the critical value tc for:
a. a 90% confidence level when the sample size is 22.
b. an 80% confidence level when the sample size is 49.

Answers

Answer:

a

[tex]\= x = 40.85[/tex]

b

[tex]E = 5.85[/tex]

Ca  

   [tex]t_c =  2.08 [/tex]

Cb

   [tex] t_c  =   1.282 [/tex]

Explanation:

From the question we are told that

     The sample size is n  =  100

     The upper limit of the 95% confidence interval is  b =  47.2 years

     The lower limit of the 95% confidence interval is   a =  34.5 years

Generally the sample mean is mathematically represented as

         [tex]\= x = \frac{a + b }{2}[/tex]

=>    [tex]\= x = \frac{47.2 + 34.5 }{2}[/tex]

=>    [tex]\= x = 40.85[/tex]

Generally the margin of error is mathematically represented as

         [tex]E = \frac{b- a }{ 2}[/tex]

=>      [tex]E = \frac{47.2- 34.5 }{ 2}[/tex]

=>      [tex]E = 5.85[/tex]

Considering question C a  

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

The  sample size is  n =  22

Given that the sample size is not sufficient enough i.e [tex]n < 30[/tex] we will make use of the student t distribution table  

Generally the degree of freedom is mathematically represented as

           [tex]df = n- 1[/tex]

=>        [tex]df = 22 - 1[/tex]

=>        [tex]df = 21[/tex]

Generally from the student  t  distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom  of  21 is  

   [tex]t_c =t_{\frac{\alpha }{2} ,  21  } =  2.08 [/tex]

Considering question C b

From the question we are told the confidence level is  80% , hence the level of significance is    

      [tex]\alpha = (100 - 80 ) \%[/tex]

=>   [tex]\alpha = 0.20[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex] t_c  =Z_{\frac{\alpha }{2} } =  1.282 [/tex]

1.Find x
2.Find TU
3.Find UV

Answers

Answer:

x = 6, TU = UV = 18

Step-by-step explanation:

Since U is the midpoint of TV , then

UV = TU , substitute values

5x - 12 = 3x ( subtract 3x from both sides )

2x - 12 = 0 ( add 12 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Thus

TU = 3x = 3(6) = 18

UV = 5x - 12 = 5(6) - 12 = 30 - 12 = 18

A box of fruit gummies from Sam’s Club has 36 individual packs. If the box is $8.64, what is the price per pack of gummies?

Answers

Each gummy would be 0.24cents
it is 24 cents per pack

Which expression is equivalent to p.q.q.q.q.q.q.q.q.q?

Answers

the expression equivalent would be p•q^9

Evelyn earns $8.00 per hour. How much does she earn in 4 hours?

Answers

Answer:

32 dollars

Step-by-step explanation:

Answer:

Evelyn earned $32.00 in 4 hours.

Step-by-step explanation:

To solve this question, just multiply 8 by 4.

8 x 4 =$32

Therefore, Evelyn earned $32.00 in 4 hours.

Hope this helps! :D

Each cube is 1.5 cm long. Calculate the surface area.

Answers

Answer:

13.5cm square

Step-by-step explanation:

A=l×w = 1.5×1.5=2.25cm square

SA=2.25×6=13.5cm square

The surface area of the cube is 49.5 cm². Thus, option C is correct.

What is cube?

A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. It is a hexagon when viewed from a corner, and its net is commonly portrayed as a cross. The cube is one of the five Platonic solids and the only regular hexahedron.

The surface area of a solid item is a measurement of the entire area occupied by the object's surface.

The surface area formula is six times the square of the length of the cube's sides. It is represented as 6a2, where is the cube's side length. It is, in essence, the whole surface area.

Area of Cube    = side*side

                          = 1.5x1.5

                           =2.25cm²

A total of 22 surfaces are exposed. So, the surface area of the cube is,

=22* 2.25

= 49.5 cm²

Therefore, option C is correct.

Learn more about surface area here:

https://brainly.com/question/29298005

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Complete question is mentioned in the image below.

Kyle's home is located at point (0 , 0). Kyle travels up for 5 miles, right for 6 miles, down for 10 miles, left for 6 miles, and finally up again for 5 miles. What is Kyle's new location? *


A. (0,0)

B. (−1,0)

C. (0,−1)

D. (12,20)

Answers

Answer: i think 1,0

Step-by-step explanation:

I
Tori had a $300 unpaid balance after last month's payment on her account. Her annual percentage rate is 21%. The minimum payment due is $25. How much of that is interest for one
month on the unpaid balance?

Answers

Answer:

After the passage of a month, the interest that Tori must pay will be $ 4.81.

Step-by-step explanation:

Given that Tori has an unpaid balance of $ 300 on her credit card, and that said credit card has an annual interest of 21% on the unpaid balances, considering that the minimum payment is $ 25, to determine how much she should pay after a month of After your debt, it is necessary to perform the following calculation:

12 = 21

1 = X

21/12 = X

1.75 = X

((300 - 25) x 1.75 / 100) + 300 = X

4.81 + 300 = X

304.81 = X

Thus, after the passage of a month, the finance charge that Tori must pay will be $ 4.81.

HELP ASAP "Steve's mom gives him 50$ to spend at the mall. He must but two new pairs of pants which each cost 19$ each. He can spend the rest at an arcade where each game cost 0.75
Which inequality can be used to determine the number (n) of arcade games Steve can play?


19 + 0.75n <50

19 + 0.75, n , <50

38 + 0.75n <50

38 + 0.75, n , <50

19 + 0.75n ≤50

19 + 0.75, n is less than or equal to, 50

38 + 0.75n ≤50

Answers

I really don’t know I’m sorry:(

Answer:

bro i'm literally doing math homework right now and i don't know ANYTHING about it. so dude i def cant help u i'm sorry :')

Step-by-step explanation:

90% of 20 is equal to

Answers

Answer:

18

Step-by-step explanation:

Answer:

18 percent

Step-by-step explanation:

take away the zeros multiply them and then boom

A model giving the area A, in square meters, of a path is A = x^2 - 18x +80. Which equivalent expression shows the length and the width of the path?
A. A= (x-15)(x-3)
B. A = (x-10)(x-8)
C. A= (x-16)(x-5)
D. A = (x-20)(x-4)

Answers

Answer:

B

Step-by-step explanation:

The equivalent expression shows the length and the width of the path is (x-10)(x-8).

What is Quadratic Equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x²term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are typically expressed as integral values rather than fractions or decimals.

Given:

A = x² - 18x +80.

Now, factorizing

x² - 10x - 8x + 80

=x(x-10) - 8(x-10)

=(x-8)(x-10)

Hence, equivalent expression shows the length and the width of the path is (x-10)(x-8).

Learn more about quadratic equation here:

https://brainly.com/question/17177510

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Find the area of a circle with diameter 12 m.
Use the value 3.14 for n, and do not round your answer.
Be sure to include the correct unit in your answer.

Answers

Answer:

113.04m²

Step-by-step explanation:

Area of circle: [tex]\pi[/tex] × r²

Radius = [tex]\frac{diameter}{2}[/tex]

We can just apply the formula to the question:

Area of circle = 3.14 × ([tex]\frac{12}{2}[/tex])²

                      = 3.14 × 36

                      = 113.04m²

using the order of operations, what should be done first to evaluate 8² + 10 (-5) (3) - 5?
A. Subtract 5 From 3.
B. Divide 10 by -5.
C. Add 6 and 10.
D. Evaluate 8².​

Answers

Answer:

D

Step-by-step explanation:

Which model shows two equal expressions when the value of X is 4

Answers

Answer:

A

Step-by-step explanation:

A has 4 boxes with XS and the end result is 4 1s which add up to 4 Xs

Answer:

A

Step-by-step explanation:

Identify the following parasite provided and draw a large labelled diagram of each
specimen​

Answers

Answer:

Spiced eye gonna flush my toilet now ;)

Answer:

hes right

Step-by-step explanation:

Mike Mowed 5 Lawns last week and 7 lawns this week and earned $180. He earned the same amount mowing each lawn. How much did Mike earns mowing each lawn?

Answers

Answer:

15

Step-by-step explanation:

i think its c but im not sure

Answers

Answer:

Its B

Step-by-step explanation:

urgent please help!! serious answers only

Answers

Answer:

The blank is 37.

Step-by-step explanation:

Ok. So 67 + 76 = 143.

Next since all triangles should be 180°

We know that since 180 - 143 = 37 the last angle should be 37.

May I please have Brainliest?!?

- hermionia

You want to know about the dining habits of college students in the US. Since you do not have resources to survey all college students in the nation, you take a random sample of 1501. You learn that, on average, they eat out 4 times per week. Also, these sample data are generally distributed about the average of 4 times, by 1.5 times per week. 1. What is the average times per week that college students across the nation eat out

Answers

Answer:

the average times per week that college students across the nation eat out lies within these 95% confidence interval

      [tex] 3.938  <  \mu < 4.062 [/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is n =  1501

    The sample mean  is  [tex]\= x = 4[/tex]

      The standard deviation is  [tex]\sigma = 1.5[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96  *  \frac{1.5 }{\sqrt{1501} }[/tex]

=>   [tex]E = 0.06196 [/tex]

Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is  mathematically represented as

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

      [tex]4  -0.06196  <  \mu < 4  + 0.06196[/tex]

=>   [tex] 3.938  <  \mu < 4.062 [/tex]

Hence the true average times per week that college students across the nation eat out lies within this interval

what is the product of 3 2/3 and 14 2/5

Answers

Answer:

The answer is 52.8

Step-by-step explanation:

Also have a picture of calculator

Step-by-step explanation:

[tex] = \frac{32}{3} \times \frac{142}{5} [/tex]

[tex] = \frac{4544}{15} [/tex]

simplify the complex fraction 7/10 -2/5 then rewrite the complex fraction what's the answer please

Answers

Answer:

7/10-2/5 = 7/10 - 4/10 = 3/10

A used automobile dealership recently reduced the price of a used compact car by 10​%. If the price of the car before discount was ​$​18,100, find the discount and the new price.

Answers

Answer:

The discounted price would be 16290 as 18100 times 10 over 100 is 1810 so subtract that from 18100 and you get 16290

Step-by-step explanation:

Also if you could please check out our you tube channel called  Evimero Academy

18,100*.10= 1,810

$1810= discount

18,100-1810=

$16290= new price
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