Karla invests $300 compounded every 6 months at a rate of 10% for 3 years. At the end of three years, Karla will have $402.03 in her account. Show how to arrive at this amount.

Question

Mathematics

Allison Bass

21 November, 06:49

Karla invests $300 compounded every 6 months at a rate of 10% for 3 years. At the end of three years, Karla will have $402.03 in her account. Show how to arrive at this amount.

+5

Answers (1)

Know the Answer?

Francis Maddox · Answer 1

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

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

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $300

r = 10% = 10/100 = 0.1

n = 2 because it was compounded 2 times in a year (6 months).

t = 3 years

Therefore,

A = 300 (1 + 0.1/2) ^2 * 3

A = 300 (1 + 0.05) ^6

A = 300 (1.05) ^6

A = $402.03