Final answer:
To calculate the simple interest earned after 2 years on a $12,000 deposit with a 2.25% annual interest rate, you use the formula I = PRT. In this case, the simple interest earned is $540.
Step-by-step explanation:
Calculating Simple Interest
To calculate the simple interest Joshua will earn after 2 years on a $12,000 deposit with an annual interest rate of 2.25%, we use the formula I = PRT, where I is the interest, P is the principal amount (initial deposit), R is the annual interest rate (in decimal form), and T is the time in years the money is invested for.
For Joshua's investment:
- P (Principal) = $12,000
- R (Annual Interest Rate) = 2.25% or 0.0225 in decimal
- T (Time) = 2 years
Therefore, the simple interest earned is calculated as:
I = $12,000 × 0.0225 × 2
First, multiply the rate by the principal:
$12,000 × 0.0225 = $270 per year
Then, multiply this result by the number of years:
$270 × 2 = $540
So, after 2 years, the simple interest earned on the savings account will be $540.