Use the compound interest formulas, \( \mathrm{A}=\mathrm{P}\left(1+\frac{\mathrm{r}}{\mathrm{n}}\right)^{\mathrm{nt}} \) and \( \mathrm{A}=\mathrm{Pe}^{\mathrm{tt}} \), to solve the following problem. Find the accumulated value of an investment of \( \$ 15,000 \) for 4 years at an interest rate of \( 4.5 \% \) if the money is a. compounded semiannually; b. compounded monthly; c. compounded continuously. a. What is the accumulated value, if the money is compounded semiannually? \( \$ 17,922.47 \) (Round your answer to the nearest cent.) b. What is the accumulated value, if the money is compounded monthly? \( \$ \square \) (Round your answer to the nearest cent.)

Suppose you have \( \$ 15,000 \) to invest. Which of the two rates would yield the larger amount in 3 years: \( 8 \% \) compounded daily or \( 7.90 \% \) compounded continuously? Which of the two rates would yield the larger amount in 3 years? \( 8 \% \) compounded daily \( 7.90 \% \) compounded continuously

Suppose you have \( \$ 3000 \) deposited at \( 4.35 \% \) compounded weekly. About how long will it take your balance to increase to \( \$ 4200 \) ? years Round your answer to the nearest tenth of a year

Find the time required for an investment of 3,000 dollars to grow to 12,000 dollars at an interest rate of \( 7 \% \) per year, compounded monthly. Give your answer accurate to 2 decimal places. \( \square \) years.

Juan Martin and Melanie have a new grandson. How much money should they invest now so that he will have \( \$ 74,000 \) for his college education in 18 years? The money is invested at \( 6.35 \% \) compounded annually.

Michelle invests in a savings account that pays \( 8 \% \) interest compounded monthly. What is the APY for this account? \( \square \) Round to the nearest \( 0.00 \% \)