# math

A new car is sold for its sticker value of \$19,400. Three years later, the customer returns to the car dealership to trade the car in. She is told that her car now has a value of \$12,105. What is the rate of decline in the value of the car? In your final answer, include all of your calculations.

here is my work \$19,400. = \$12,105.(1-r)^3
\$12,105. = \$12,105.
=9.105 = 1-r
=3.01
​=x

1. 👍
2. 👎
3. 👁
1. 19400(1-r)^3 = 12105
That is, the starting value declines each year
So, not only is your first step backwards, the rest of your steps are just nonsense
Next, divide by 19400 to get
(1-r)^3 = 12105/19400 = 0.62396
now take the cube root:
1-r = 0.85452
r = 0.15
so, the value declines by 15% each year

1. 👍
2. 👎
👤
oobleck
2. ok thank's sir or miss

1. 👍
2. 👎

## Similar Questions

1. ### MATHEMATICS

Use the graph to answer the question question 1 what might the creator of this graph want the reader to conclude. The car dealer sold twice as many cars in April as in January B. The car dealer sold the most cars in January C. The

2. ### Math

A movie theater recorded the number of tickets sold daily for a popular movie during the month of June. A box-and-whisker plot represents the number of tickets sold. minimum-100 maximum-8 1st quartile-300 median-400 3rd

3. ### math

Jose bought a new car 2 \$18,000. The value of his car decreased exponentially by 17% and is now valued at about 12,400. Which function estimates the value of Jose's car after x years since buying the car. A) f(x) = 12,400(0.17^x)

4. ### math

What might the creator of this graph want the reader to conclude? A. The car dealer sold twice as many cars in April as in January. B. The car dealer sold the most cars in January. C. The car dealer’s business is expanding very

1. ### statistics

Blossom's Flowers purchases roses for sale for Valentine's Day. The roses are purchased for \$10 a dozen and are sold for \$20 a dozen. Any roses not sold on Valentine's Day can be sold for \$5 per dozen. The owner will purchase 1 of

2. ### Math

A car dealership pays you for percent commission on your first \$8000 on car sales and 8% commission on the sale amount over \$8000 if you sold a \$9000 car how much is your commission A( \$720 B( \$320 C( \$400 D( \$80

he value of a new car depreciates at a rate of 12% per year. Write an equation to represent the approximate value of a car purchased for \$23 000. Determine the value of the car two years after it is purchased. Approximately how

4. ### math

The value of a new car decreases exponentially.Suppose your mother buys a new car for 22,000. The value of the car decreases by 20% each year. a.what is the initial price of the car. The decay factor. b. write an equation to model

1. ### math

An investment made in the stock market decreased at a rate of 4% per year for 5 years. What is the current value of the \$1,000,000 investment? Include your calculations in your final answer. A new car is sold for its sticker value

2. ### Maths

Avinesh gave his cousin 1/3 of his sticker collection he gave sister 5/6 the remainder and was left with 80 sticker how many sticker did he have at first

3. ### Calculus

After t years, the value of a car that originally cost \$16,000 depreciates so that each year is is worth 3/4 of it's value for the precious year. Find a model for V(t), the value of the car after t years. Sketch a graph of the

4. ### Algebra

Max has been offered positions by two car companies. The first company pays a salary of \$12,500 plus commission of \$750 for each car sold. The second company pays a salary of \$22,500 plus a commission of \$250 per car sold. How