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Masteriza [31]
3 years ago
5

Kenneth loaned $1,200 to his niece to buy a computer. Two years later, she paid him back the $1,200 along with an interest of $9

6. If the interest that was collected was simple interest, what was the annual interest rate?
Mathematics
1 answer:
insens350 [35]3 years ago
7 0

Answer:

<u>The  annual interest rate was 4%</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Loan to Kenneth's niece to buy a computer = US$ 1,200

Duration of the loan = 2 years

Niece paid back to Kenneth = US$ 1,296

Annual interest rate = x%

2. Let's find the annual interest rate after 2 years, using the following formula:

FV = PV * (1 + x)

PV = Loan to Kenneth's niece to buy a computer = US$ 1,200

FV = Niece paid back to Kenneth = US$ 1,296

rate (r) = x

Replacing with the real values:

1,296 = 1,200 * (1 + x)

1.296/1.200 = (1 + x) (Dividing by 1,200 at both sides)

1.08 = 1 + x

1.08 - 1 = x (Subtracting 1 at both sides)

<u>0.08 = x</u>

This is the interest rate for two years, for finding the annual interest rate we divide it by 2, this way:

<u>0.08 / 2 = 0.04 * 100 = 4%</u>

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