Question 6 (2 points) A student received $\$ 750$ in high school graduation gifts. The money is invested in a compound interest account, at an annual rate of $4 \%$, compounded semi-annually. Use the compound interest formula in Unit 4 Chapter 3 and your calculator to answer the following questions (fill in the blank as directed). How much money does the student have after 4 years? Round your answer to the nearest dollar. A How long in years is required to double the investment? Round your answer to the nearest tenth. A What interest rate is need to double the money in 5 years? Express your answer to the nearest percent. A Submit Quiz 0 of 6 questions saved

Step 1 ：Given that the principal amount (P) is $750, the annual interest rate (r) is 4% or 0.04, the number of times interest is compounded per year (n) is 2, and the number of years (t) is 4.

Step 2 ：We can use the compound interest formula \(A = P(1 + \frac{r}{n})^{nt}\) to calculate the amount of money the student will have after 4 years.

Step 3 ：Substitute the given values into the formula: \(A = 750(1 + \frac{0.04}{2})^{2*4}\).

Step 4 ：Calculate the value inside the parentheses: \(1 + \frac{0.04}{2} = 1.02\).

Step 5 ：Raise 1.02 to the power of 8: \(1.02^{8} = 1.17186\).

Step 6 ：Multiply 750 by 1.17186 to get the total amount: \(750 * 1.17186 = 878.895\).

Step 7 ：Round this amount to the nearest dollar to get the final answer: \(\boxed{879}\) dollars.