Question

You’re trying to save to buy a new $180,000 Ferrari. You have $29,000 today that can be invested at your bank. The bank pays 3.6 percent annual interest on its accounts. How long will it be before you have enough to buy the car? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16

Answer 1

It will take 337.18 years before you have enough to buy the car.

Step-by-step explanation:

This can be calculated using the future value (FV) formula as follows:

FV = PV * (1 + r)^n ...................... (1)

Where:

FV = future value or the price of Ferrari = $180,000

PV = present value or thee amount you have today = $29,000

r = annual interest rate = 3.6%, or 0.036

n = number of years = ?

Substituting the values into equation (1) and solve for n, we have:

$180,000 = $29,000 * (1 + 0.036)^n

$180,000 - $29,000 = 1.036^n

151,000 = 1.036^n

Loglinearizing, we have:

log151,000 = nlog1.036

5.17897694729317 = n * 0.0153597554092142

n = 5.17897694729317 / 0.0153597554092142

n = 337.18

Therefore, it will take 337.18 years before you have enough to buy the car.