Cassandra bought a car for 22,385. The value depreciates 14% a year.
a. Write a function, d(x), that gives the value of the car after x years.
b. What will the value of Cassandra's car be after 10 year
d(x) = 22385 (1 - 0.14)^x
a. To write the function d(x) that gives the value of the car after x years, we need to know the initial value of the car and the rate at which it depreciates each year.
The initial value of the car is given as $22,385, and the rate of depreciation is 14% per year. To calculate the value of the car after x years, we can use the following formula:
Value after x years = Initial value * (1 - Rate of depreciation / 100)^x
In this case, the formula becomes:
d(x) = $22,385 * (1 - 14/100)^x
b. To find the value of Cassandra's car after 10 years, we can substitute x = 10 into the function d(x) that we derived in part a:
d(10) = $22,385 * (1 - 14/100)^10
Now we can calculate the value of Cassandra's car after 10 years using this equation.