Question

Reem deposits $900 at the end of each month in a savings account earning 4.5% quarterly. How long will it take to buy her first car, assuming she needs $8,000 for a good car?

A: 8.76 months
B: 8.44 months
C: 9.14 months
D: 9.46 months

Answer 1

To determine how long it will take for Reem to save $8,000 for her first car, A is the amount accumulated, P is the monthly deposit, r is the quarterly interest rate, and n is the number of months. we can use the formula for compound interest: A = P(1 + r)^n. It will take approximately 8.76 months for Reem to save $8,000.

Step-by-step explanation:

To determine how long it will take for Reem to save $8,000 for her first car, we can use the formula for compound interest:

A = P(1 + r)^n

A is the amount accumulated, P is the monthly deposit, r is the quarterly interest rate, and n is the number of months.

In this case, Reem deposits $900 at the end of each month, the interest rate is 4.5% quarterly, and she wants to save $8,000.

Solving for n:

$8,000 = $900(1 + 0.045)^n

Divide both sides by $900:

8.8889 = (1.045)^n

Take the logarithm of both sides to solve for n:

n ≈ 8.76 months

Therefore, it will take approximately 8.76 months for Reem to save $8,000 for her first car.