Rick invests $7,174 in an account that earns an annual interest rate of 3%. What will be the balance of the account in 18 years if the interest is compounded monthly?
A
$173,668.18

B
$7,572.00

C
$12,302.34

Respuesta :

Answer:

A

Step-by-step explanation:

Based on the amount invested and the interest rate as well as period of compounding, the amount after 18 years will be C. $12,302.34.

As the amount is being compounded monthly, you need to convert the interest rate and the period of compounding to a monthly basis.

Interest rate = 3%/12 = 0.25%

Period = 18 x 12 months = 216 months

The amount after 18 years is:

= Amount x ( 1 + rate) ^ number of periods

= 7,174 x (1 + 0.25%) ²¹⁶

= $12,302.34

In conclusion, the amount will be $12,302.34 after 18 years.

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