Tamara invested ​$11,000 in a money market account with an interest rate of 3.75​% compounded semiannually. Four years​ later, Tamara withdrew the full amount to put toward the down payment on a new house. How much did Tamara withdraw from the​ account?

To find out how much Tamara withdrew from her money market account after 4 years, we'll again use the compound interest formula:

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

Where:
- $ A $ is the amount after $ t $ years,
- $ P $ is the principal amount (initial investment),
- $ r $ is the annual interest rate (as a decimal),
- $ n $ is the number of times the interest is compounded per year,
- $ t $ is the time in years.

### Given:
- $ P = 11,000 $ (initial investment),
- $ r = 3.75\% = 0.0375 $ (annual interest rate),
- $ n = 2 $ (compounded semiannually),
- $ t = 4 $ years.

Now, let's calculate the amount $ A $ Tamara withdrew.Tamara withdrew approximately **$12,762.44** from her account after 4 years.

Would you like more details or have any other questions?

Here are some related questions that might interest you:
1. How much interest did Tamara earn over the 4 years?
2. How would the amount differ if the interest were compounded quarterly instead of semiannually?
3. What if Tamara had invested $15,000 instead of $11,000?
4. How does compound interest compare to simple interest in this situation?
5. What if the interest rate was 4% instead of 3.75%?

**Tip:** Compounding frequency can have a significant impact on the growth of an investment. Always consider this when comparing financial products.

Learn how to calculate the withdrawal amount from a money market account with an initial investment of $11,000, an annual interest rate of 3.75% compounded semiannually over 4 years. Understand the impact of compounding frequency on investment growth. Suitable for advanced high school students.

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