Calculate the maturity value of a simple interest, one-year loan of $5200. The interest rate is 10.2%. (Round your answer to two decimal places.)

To calculate the maturity value of a simple interest loan, we use the formula:

\[
A = P(1 + rt)
\]

where:
- $A$ = maturity value (final amount)
- $P$ = principal (initial loan amount) = $5200
- $r$ = annual interest rate = 10.2% = 0.102
- $t$ = time in years = 1 year

Substitute the values into the formula:

\[
A = 5200(1 + 0.102 \times 1)
\]

\[
A = 5200(1 + 0.102) = 5200(1.102)
\]

Now, calculate:

\[
A = 5720.40
\]

So, the maturity value of the loan is **$5720.40**.

Would you like more details or have any questions?

Here are five related questions:
1. How would the maturity value change if the loan was for 2 years instead of 1 year?
2. What is the total interest earned on this loan?
3. How does simple interest differ from compound interest?
4. What would the maturity value be if the interest rate was 8% instead of 10.2%?
5. How do you calculate the interest rate if the maturity value and principal are given?

**Tip:** To easily convert a percentage to a decimal, divide it by 100. For example, 10.2% becomes 0.102.

Calculate the maturity value of a simple interest, one-year loan of $5200. The interest rate is 10.2%. (Round your answer to two decimal places.)

Learn how to calculate the maturity value of a simple interest loan with a principal of $5200 at an interest rate of 10.2% for one year. This step-by-step solution demonstrates the use of the simple interest formula A = P(1 + rt), providing the final amount as $5720.40. Ideal for students in Grades 9-10.

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