Simple Interest Work each problem. See Example 5 . Elmer...

Simple Interest Work each problem. See Example 5 . Elmer borrowed $\$ 3150$ from his brother Julio to pay for books and tuition. He agreed to repay Julio in 6 months with simple annual interest at 4 $\$ 8 .$ (a) How much will the interest amount to? (b) What amount must Elmer pay Julio at the end of the 6 months?

Simple Interest Work each problem. See Example 5 .
Elmer borrowed $\$ 3150$ from his brother Julio to pay for books and tuition. He agreed to repay Julio in 6 months with simple annual interest at 4 $\$ 8 .$
(a) How much will the interest amount to?
(b) What amount must Elmer pay Julio at the end of the 6 months?

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Key Concepts

Simple Interest

Simple interest is the method of calculating interest whereby the interest charge is computed only on the original principal amount, without compounding over time. This concept is essential for understanding how interest accumulates over a specified time period in many basic financial transactions.

Principal

The principal is the initial amount of money that is either borrowed or invested. In financial calculations involving interest, the principal serves as the baseline on which the interest is calculated.

Interest Rate

The interest rate is the percentage of the principal that is charged as interest per time period, typically expressed on an annual basis. It is a critical factor in determining the amount of interest that accrues over a given period.

Time Conversion

Time conversion is necessary when the period for which interest is calculated does not match the period for which the interest rate is expressed. For example, converting months into years is essential when working with an annual interest rate.

Total Repayment Amount

The total repayment amount is the sum of the principal and the interest accrued over the period of the loan. Understanding this concept is crucial for assessing the overall cost of borrowing.

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