Tara deposits $5,000 in a certificate of deposit. The annual interest rate is 7%, and the interest will be compounded monthly. How much will the certificate be worth in 10 years?
Round your answer to the **nearest cent**.
Do **NOT** round until you calculate the final answer

The value of the certificate of deposit after 10 years can be calculated using the formula for compound interest:

\[
A = P \left(1 + \frac{r}{n}\right)^{nt}
\]

Where:
- $ A $ = the amount of money accumulated after $ t $ years, including interest
- $ P $ = the principal amount (initial deposit) = $5,000
- $ r $ = annual interest rate (in decimal) = 7% = 0.07
- $ n $ = number of times the interest is compounded per year = 12 (monthly compounding)
- $ t $ = the number of years = 10

Let's calculate $ A $.The certificate will be worth approximately **$10,048.31** after 10 years, rounded to the nearest cent.

Do you need further details or have any questions?

Here are five related questions for further practice:
1. What would the value be after 15 years with the same interest rate?
2. How would the value change if the interest were compounded quarterly instead of monthly?
3. What would the certificate be worth if the interest rate were 5% instead of 7%?
4. How much interest would Tara earn in total over the 10 years?
5. How much would need to be deposited initially to have $15,000 after 10 years at the same interest rate?

**Tip:** The more frequently interest is compounded, the greater the final amount will be due to the effects of compounding interest!

Tara deposits $5,000 in a certificate of deposit. The annual interest rate is 7%, and the interest will be compounded monthly. How much will the certificate be worth in 10 years? Round your answer to the nearest cent. Do NOT round until you calculate the final answer.

Learn how to calculate compound interest for a $5,000 deposit at a 7% annual interest rate, compounded monthly for 10 years. This problem covers key concepts of compound interest and exponential growth, with step-by-step calculations to find the final amount. Suitable for students in Grades 9-12.

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