385. You buy a car that costs $23,495, and it loses $4,500 in value when you drive it off the car lot. The car then loses 10.785% in value each year (exponential depreciation). Rounded to the nearest cent, what is the value of the car after 5 years? Use the exponential equation y=Cet, where y is the resulting value, C' is the initial amount, k is the growth or decay rate, and is the time in years.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...
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Answer the 3 given math questions and show your work.
385. You buy a car that costs $23,495, and it loses
$4,500 in value when you drive it off the car
lot. The car then loses 10.785% in value each
year (exponential depreciation). Rounded to
the nearest cent, what is the value of the car
after 5 years? Use the exponential equation
y=Cett, where y is the resulting value, C' is
the initial amount, k is the growth or decay
rate, and is the time in years.
398. A boy flying a kite lets out 300 feet of string,
which makes an angle of 35° with the
ground. Assuming that the string is straight,
how high above the ground is the kite?
399. An airplane climbs at an angle of 9° with
the ground. Find the ground distance it has
traveled when it reaches an altitude of
400 feet.
Transcribed Image Text:385. You buy a car that costs $23,495, and it loses $4,500 in value when you drive it off the car lot. The car then loses 10.785% in value each year (exponential depreciation). Rounded to the nearest cent, what is the value of the car after 5 years? Use the exponential equation y=Cett, where y is the resulting value, C' is the initial amount, k is the growth or decay rate, and is the time in years. 398. A boy flying a kite lets out 300 feet of string, which makes an angle of 35° with the ground. Assuming that the string is straight, how high above the ground is the kite? 399. An airplane climbs at an angle of 9° with the ground. Find the ground distance it has traveled when it reaches an altitude of 400 feet.
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