Question

You want to buy your dream car which will cost you $5900. If you could invest your entire savings of $3500 at an annual interest of12%, how long (in years rounded to two decimal places) would you have to wait until you have accumulated enough money to buy the car?

Answer 1

Answer:

t = 4.607742347 years rounded off to 4.61 years

Explanation:

To calculate the number of years it will take an investment of $3500 to grow to $5900 at an annual interest rate of 12%, we will use the formula for the future value of cash flows. The formula can be written as follows,

Future value = Present value * (1+i)^t

Where,

• i is the interest rate
• t is the time in years

Plugging in the values for future value, present value and i, we can calculate the t to be,

5900 = 3500 * (1+0.12)^t

5900 / 3500 = (1.12)^t

1.685714286 = 1.12^t

Taking log on both sides.

Ln(1.685714286)  /  Ln(1.12)  =  t

t = 4.607742347 years rounded off to 4.61 years