Math  /  Numbers & Operations

Question4. Simple Interest: You invest $1,200\$ 1,200 in a savings account that earns 4%4 \% simple interest per year. How much interest will you earn in 3 years?

Studdy Solution

STEP 1

1. The principal amount invested is $1200 \$1200 .
2. The annual simple interest rate is 4% 4\% .
3. The time period for the investment is 3 3 years.
4. We are using the simple interest formula to calculate the interest earned.

STEP 2

1. Define the variables.
2. Apply the simple interest formula.
3. Calculate the interest earned.

STEP 3

Define the variables: - Principal (P P ) = $1200 \$1200 - Annual interest rate (r r ) = 4%=0.04 4\% = 0.04 - Time (t t ) = 3 3 years

STEP 4

Use the simple interest formula: I=P×r×t I = P \times r \times t

STEP 5

Substitute the values into the formula to calculate the interest: I=1200×0.04×3 I = 1200 \times 0.04 \times 3

STEP 6

Perform the multiplication: I=1200×0.04×3=1200×0.12=144 I = 1200 \times 0.04 \times 3 = 1200 \times 0.12 = 144
The interest earned in 3 years is:
$144\boxed{\$144}

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