Cindy is buying a new car and wants to learn how the value of her car will change over time. Insurance actuaries predict the future value of cars using depreciation functions. One such function is applied to the car whose declining value is shown at the right. Write an exponential function for it.

Cindy Is Buying A New Car And Wants To Learn How The Value Of Her Car Will Change Over Time. Insurance

Answers

Answer 1

Answer:

[tex]C=10000(0.852)^t[/tex]

Step-by-step explanation:

Let the exponential function be,

[tex]C=a(b)^t[/tex]

Here, C = cost of the car

t = Duration or period in years

From the given table,

Two points representing cost of the car and time are (10000, 0) and (8520, 1),

For (10000, 0),

[tex]10000=a(b)^0[/tex]

a = 10000

For (8520, 1)

8520 = [tex]10000(b)^1[/tex]

[tex]b=\frac{8520}{10000}[/tex]

b = 0.8520

Therefore, exponential equation will be,

[tex]C=10000(0.852)^t[/tex]


Related Questions

Write the product using exponents. (1/3.(1/3)(1/3) Using exponents, the product is​

Answers

Answer:

The answer is 1/3 to the power of 3

Step-by-step explanation:

Please help !! 25 points

(No links or ill report you, just reply the answer) thanks

Use the general form of the equation for a circle to help write equations for the circles described below:

a) Center (2, -1) and radius 4

b) center (-2, 2) and radius 3

Answers

Step-by-step explanation:

a. (x-2)^2 + (y+1)^2 = 16

b. (x + 2)^2 + (y-2)^2 = 9

Marking brainliest , help pls

Answers

Answer:

the answer is c) 5,2 hope this helped

Answer:

(5,2)

Step-by-step explanation:

its the only one in the purple

6c^2 - 5d + 8 when c =5 and d=4

Answers

Answer:

138

Step-by-step explanation:

First, we can simply replace the variables with their numerical values.

Whenever you see a number with a letter (variable) in front of it, this means to multiply.

c=5 and d=4

6 × 5^2 - 5 × 4 + 8

Since there are multiple operations in this expression, we must use PEMDAS.

ParenthesisExponentiation (exponents)Multiplication/Division (Solve whichever comes first)Addition/Subtraction (Solve whichever comes first)

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

Now, we can apply the operations.

There are no parenthesis.

In this expression, exponents are present.

6 × 5^2 - 5 × 4 + 8

6 × 25 - 5 × 4 + 8

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There is multiplication.

6 × 25 - 5 × 4 + 8

150 - 5 × 4 + 8

150 - 20 + 8

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

There is subtraction.

150 - 20 + 8

130 + 8

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

There is addition.

130 + 8

158

Therefore, 6 × 5^2 - 5 × 4 + 8 = 138.

Convert 210 to radian measure in terms of \pi

Answers

Answer:

3.66519 radian

Step-by-step explanation:

210° × π/180 = 3.665rad

Please help I’ll make you the brainiest

Answers

Answer:

B is the right answer

Step-by-step explanation:

1(z^8-20)

=1/z^12

Answer:

1/z¹² (3rd answer choice)

Step-by-step explanation:

z0(z2z−5)4

=

z8/z20

=

1/z¹²

Find each unit rate. Round to the nearest hundredth if necessary/
$312 for 12 tickets (show work)

Answers

in order to find the price per ticket, or unit rate, we need to divide 312 by 12

after this, we get 26. we know that unit rate is price PER 1 ticket.

Therefore, we get:
$26/ticket

Student lunch preference Pizza 18, Chicken Sandwich 9, Salad 6, hot dog 10, Steak sub 13

The school cafeteria surveys random students about their favorite food and records the data in the table. If there are 560 students in the school, approximately how many would be expected to choose salad?​ 16 students 112 students 60 students
208 students

Answers

6 is the answer to your question

Juana went to a restaurant and bought 6 cheeseburgers and 4 orders
of fries and spent a total of $26. Write an equation for the scenario where
C is the price of cheeseburgers and Fis the price of fries she bought.

Answers

Answer:

6c + 4f = 26

Step-by-step explanation:

Wilma tosses a ball into the air. The function h(t) represents the height, in feet, of the ball after t seconds. The difference quotient of h(t) is –32t – 16h + 9. What is the average rate of change in the height of the ball between 1 and 1.5 seconds? –47 ft/s –31 ft/s 31 ft/s 47 ft/s

Answers

Answer:

-32ft/s

Step-by-step explanation:

Given the function of the height expressed as h(t) is –32t² – 16t + 9.

Rate of change in height is the velocity and expressed as;

v(t) = d(h(t))/dt = -64t - 16

at t = 1sec

v(1) =  -64(1)- 16

v(1) = -80ft/s

at t = 1.5secs

v(1.5) =  -64(1.5)- 16

v(1.5) = -96-16

v(1.5) = -112ft/s

The average rate of change in the height of the ball between 1 and 1.5 seconds = -112-(-80) = -112+80 = -32ft/s

Find two numbers that meet the requirements of the situation in each question. Put the smaller of the two numbers in the first blank and the larger of the two numbers in the second blank.

Multiply to give you 24 and add to give you -10.

Answers

Answer:

-6, -4

Step-by-step explanation:

-6 x -4 = 24

-6 + -4 = -10

Answer:

-6 and -4

Step-by-step explanation:

two negs multiplied =positive

two negs added = negative

i am thinking of a number i multiply by 14 qand add 12 i get the same answer if i multiply by 5 and add 246

Answers

Answer:

x = the unknown number = 26

Step-by-step explanation:

Let

x = the unknown number

i multiply by 14 qand add 12

(x * 14) + 12

= 14x + 12

i get the same answer if i multiply by 5 and add 246

(x * 5) + 246

= 5x + 246

Equate both equations

14x + 12 = 5x + 246

14x - 5x = 246 - 12

9x = 234

x = 234 / 9

x = 26

x = the unknown number = 26

EASY- Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.

Answers

Given:

A combined figure of a triangular prism and a cuboid.

To find:

The volume of the finished object assuming it is empty inside.

Solution:

From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.

So, the volume of the cuboid is:

[tex]V_1=length\times width\times height[/tex]

[tex]V_1=6\times 8\times 5[/tex]

[tex]V_1=240[/tex]

The volume of the cuboid is 240 cubic cm.

The area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:

[tex]B=\dfrac{1}{2}\times 8\times 4[/tex]

[tex]B=16[/tex]

The volume of a triangular prism is:

[tex]V_2=Bh[/tex]

Where, B is the base area and h is the height of the prism.

The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:

[tex]V_2=16(5)[/tex]

[tex]V_2=80[/tex]

Now, the volume of the given figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=240+80[/tex]

[tex]V=320[/tex]

Hence, the volume of the finished object is 320 cubic cm.

En una fabrica se requiere hacer una encuesta a 50 trabajadores sobre su comida preferida . Si en total trabajan 360 mujeres y 240 hombres , ¿cuantos hombres y mujeres deben formar muestra para que sea representativa?

Answers

Answer:

25 hombres y 25 mujeres.

Step-by-step explanation:

búscalo

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -6x - 8

Step-by-step explanation:

Two points on this line are (-3, 10) and (0, -8).  Moving from the first to the second, we see that x increases by 3 and y decreases by 18.  Thus, the rise and run are -18 and 3 respectively, so that the slope of this line is m = -6.

Adapt the slope-intercept form y = mx + b to this particular situation.  Recognize that the given (0, -8) is the y-intercept and that the slope, m, is -6.  

The equation of this line is thus

y = -6x - 8

Part B:

Louis wants to buy skis that have a regular price of $328. They have been marked down 25% off the regular price. Louis calculates the new total price including tax.

How much money will Louis save on the total cost because of the markdown?

Answers

Answer:

Part A

Calculate sale price and add sales tax:

20% off $339 add tax ⇒ $339*0.8*1.085 = $294.25 ≤ $30015% off $310 add tax ⇒ $310*0.85*1.085 = $285.90 ≤ $30025% off $365 add tax ⇒ $365*0.75*1.085 = $297.02  ≤ $30020% off $300 add tax ⇒ $300*0.8*1.085 = $260.40  ≤ $300

Each price is acceptable as less than $300

Part B

Markdown with tax added:

25% off $328 add tax ⇒ $328*0.75*1.085 = $266.91

Without discount, the price with the tax added:

$328*1.085 = $355.88

The difference is the amount Luis has saved:

$355.88 - $266.91 = $88.97

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

35

Step-by-step explanation:

Rows: 7+7+7+7+7=35

Columns: 5+5+5+5+5+5+5=35

Which method describes the inventory process in which the first items to be
stocked are the first items to be sold?
A. FIFO
B. MIFO
C. LIFO

Answer - A FIFO

Answers

A. Fifo is the answer

The method that describes the inventory process in which the first items to be stocked are the first items to be sold is known as FIFO

What is FIFO?

The acronym FIFO means "First-In, First-Out." The oldest inventory items are either sold or utilised first in this form of inventory management. According to the FIFO technique, ending inventory is determined using the cost of the newest inventory items, while the cost of the oldest inventory items determines the cost of goods sold.

Businesses track and control inventory costs using a variety of inventory accounting techniques, including the FIFO system. As it ensures that products are sold or utilised before they expire, it is frequently employed in sectors like food and beverage where products have a finite shelf life.

Given data ,

The inventory process you are referring to is known as the "First-In, First-Out" (FIFO) method. This method assumes that the first items added to the inventory are the first ones to be sold, so that the oldest inventory items are sold first.

This approach is commonly used in industries such as food and beverage, where items have an expiration date, and it ensures that products with a shorter shelf life are sold before they expire. The FIFO method is also used in accounting and financial reporting to value inventory and calculate the cost of goods sold.

To learn more about FIFO click :

https://brainly.com/question/28852724

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The ratio of dye to pounds of clothing is constant. A worker develops the chart below to show the amount of dye needed
for different amounts of clothing.
Clothes Dyeing
Weight of clothing Cups of dye
(pounds)
21
3
42
9
84
12
105
15
For which weight of clothing is the ratio of weight to dye different from the other ratios?
21 pounds
42 pounds
84 pounds
105 pounds

Answers

Answer: The answer is 42

Step-by-step explanation:

I did the test too :)

The weight of clothing for which the ratio of weight to dye is different from the other ratios is 42 pounds.

To determine which weight of clothing has a ratio of weight to dye different from the other ratios, we need to compare the ratios for each weight.

Let's calculate the ratios for each weight of clothing by dividing the weight of clothing (in pounds) by the cups of dye:

For 21 pounds of clothing: 21 pounds / 3 cups = 7 pounds per cup

For 42 pounds of clothing: 42 pounds / 9 cups = 4.67 pounds per cup

For 84 pounds of clothing: 84 pounds / 12 cups = 7 pounds per cup

For 105 pounds of clothing: 105 pounds / 15 cups = 7 pounds per cup

From the calculations, we can see that for weights of 21 pounds, 84 pounds, and 105 pounds of clothing, the ratios of weight to dye are the same, which is 7 pounds per cup. However, the ratio for 42 pounds of clothing is different, which is 4.67 pounds per cup.

Therefore, the weight of clothing for which the ratio of weight to dye is different from the other ratios is 42 pounds.

To know more about Weight here

https://brainly.com/question/86444

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Why is 24lb greater than 124oz?

Answers

Answer:

1lb= 16oz

24(16)= 384

24lb= 384oz

Step-by-step explanation:

24lb is greater than 124oz after you convert the pounds to oz

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A painting is going to be reprinted as posters. The dimensions of the painting are 3/4 of a yard to and 1/2 of a yard wide, The poster company is trying to determine how big to make the poster For each yard of width, how many yards of height are needed??​

Answers

Answer:

3/8 yards

Step-by-step explanation:

3/4 yard tall and 1/2 yard wide

Multiply the two fractions

3/4 (1/2)

= 3/8 yards

If the width of the rectangular painting is one unit then the height of the painting will be 3/8 yards. Then the correct option is A.

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A painting is going to be reprinted as a poster.

The dimensions of the painting are 3/4 of a yard and 1/2 of a yard wide.

The poster company is trying to determine how big to make the poster For each yard of width,

Let h be the height of the poster. Then we have

[tex]\rm h \times 1 = \dfrac{3}{4} \times \dfarc{1}{2}\\\\h \ = \dfrac{3}{8}[/tex]

If the width of the rectangular painting is one unit then the height of the painting will be 3/8. Then the correct option is A.

More about the rectangle link is given below.

https://brainly.com/question/10046743

The graph of y = ½ x2 − x − 4 is shown below. What are the zeros of the quadratic?

Answers

Answer:

x = - 2, x = 4

Step-by-step explanation:

The zeros are the values of x on the x- axis where the graph crosses

The graph crosses the x- axis at (- 2, 0 ) and (4, 0 )

Then the zeros are x = - 2 and x = 4

A family wants to remodel a house and spend at most $135,000 total for the entire project. a)If the builder wants to make a 15% profit on the value of the project, what is the largest amount the family can spend on hard costs (materials, labor, engineering, designing, permits) to be able to pay the builder his profit while staying under the $135,000 budget? b)What is the builder's profit? (Hint: You cannot simply take 15% of $135,000 because the $135,000 includes the builder's profit. Just like in our commission problems, you don't make commission on commission. The percentage is applied to the value of goods and services provided.)

Answers

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Diego is selling raffle tickets for $1.75 per ticket.
a. Complete the table to show how much money he would earn if he sold each number of tickets.
b. How many tickets would Diego need to sell to earn $140? Explain your reasoning.
need ASAP

Answers

Answer:

The answer is 80

Step-by-step explanation:

Miesha has 3 red pens and 2 black pens in her pencil case. If she selects two pens without looking what is the probability that:

The first one will be black

The first will be black and the second will be black

Answers

Answer:

the first one ill be black i think

Step-by-step explanation:

she has more red so the first will probably be black and the other will be red your welcome  and have a nice day/night

find the image of B(4,7) reflected in the y-axis

Answers

Find the image of b 4.7

Let u =LeftAngleBracket 3, 4 RightAngleBracket. What is 3u? LeftAngleBracket 6, 7 RightAngleBracket LeftAngleBracket 6, 12 RightAngleBracket LeftAngleBracket 9, 7 RightAngleBracket

Answers

Answer:

(9, 12)

Step-by-step explanation:

Given that :

u = (3, 4)

3u = 3(3, 4)

3u = 3(3, 4) = (9, 12)

Hence, 3u = (9, 12)

Answer:

<9, 12>

Step-by-step explanation:

Multiply X and Y values by the number of U there are.

u= <3,4>

2u=<6,8>

3u= <9,12> Multilpy By 3 to get 3u

Your answer is <9,12>.

algebra 1 chapter 10

Answers

Answer:

wheres the question ?

Step-by-step explanation:

Which of the following is not a factor of the polynomial p(x) = x³ - 23x² + 142x - 120?

Options :

A(x - 1)

B(x - 10)

C(x - 5)

D(x - 12)

no spam answers and explain how you got the solution.​

Answers

Answer:

The correct answer is C- (X-5)

Solution

Given -

polynomial p(x) = x³ - 23x² + 142x - 120

Now see the coefficients

coefficient of x³ is 1 x² is -23 x is 142 and then -120

when you'll add this coefficients

i.e.

1-23+142-120=0

When sum of the coefficient turn out 0 then x = 1

using x=1, x-1 = 0

devide the given polynomial p(x) = x³ - 23x² + 142x - 120 by x-1 you'll get rest two factors hence

Answer is option C

my grades not looking to well if you guys can help me with some problems i will give points and brainliest i need this problem and a few more done

Answers

Answer:

8 units

Step-by-step explanation:

Parallel lines cut the transversals into proportional segments:

ST / UT = SR / QRST / 16 = 18/ 36ST / 16 = 1/2ST = 16/2ST = 8

ST be x

Apply Thales theorem

x/16=18/36=1/2x=16/2ST=8unitw
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