If $360 is invested at an interest rate of 4% per year and is compounded quarterly, how much will the investment be worth in 18 years?

a)$175.86

b)$422.39

c)$430.61

d)$736.96

Respuesta :

The correct answer is d. - $736.96

Based on the given data and the conditions for the investment,  we will solve for the Total amount plus the Principal in order to arrive at the

answer which is $736.96

Given data

Principal = $360

Rate = 4%

Time = 18 years

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 360.00(1 + 0.04/4)^(4)(18)

A = 360.00(1 + 0.01)^(72)

A = $736.96

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $360.00 at a rate of 4% per year compounded 4 times per year over 18 years is $736.96.

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