Could Someone help me with this, I have a slight understanding but I want to be sure I got it correctly, or at least the steps and formulas.

Simple Interest versus Compound Interest [ [ [ LO1] First City Bank pays 7.5 percent simple interest on its savings account balances, whereas Second City Bank pays 7.5 percent interest compounded annually. If you made a deposit of $8,600 in each bank, how much more money would you earn from your Second City Bank account at the end of eight years? Calculating Future Values [ [ [01] For each of the following, compute the future value: Calculating Present Values [ LO2] For each of the following. compute the present value: Calculating Interest Rates [ LO3] Solve for the unknown interest rate in each of the following: Calculating the Number of Periods [ LO4] Solve for the unknown number of years in each of the following: 15. Calculating Rates of Return [ [ LO3] The "Brasher doubloon," which was featured in the plot of the Raymond Chandier novel. The High Window, was sold at auction in 2018 for a reported $5.5 million. The coin had a face value of $15 when it was first issued in 1787 and had been previously sold for $430,000 in 1979 . At what annual rate did the coin appreciate from its minting to the 1979 sale? At what annual rate did the coin appreciate from 1979 until 2018? At what annual rate did the coin appreciate from its minting to the 2018 sale? 16. Calculating Rates of Return [ [ LO3] Refer back to the Series EE savings bonds we discussed at the very beginning of the chapter. a. Assuming you purchased a $50 face value bond, what is the exact rate of return you would earn if you held the bond for 20 years until it doubled in value? b. If you purchased a $50 face value bond in 2019 at the then current interest rate of 10 percent per year, how much would the bond be worth in 2029 ? c. In 2029, instead of cashing the bond in for its then current value, you decide to hold the bond until it doubles in face value in 2039 . What rate of return will you earn over the last 10 years? 17. Calculating Present Values [ LO2] Suppose you are still committed to owning a $275,000 Ferrari (see Problem 9). If you believe your mutual fund can achieve an annual rate of return of 11.2 percent and you want to buy the car in 9 years (on the day you turn 30). how much must you invest today? 18. Calculating Future Values [ [ [ LO1] You have just made your first $5,500 contribution to your retirement account. Assuming you earn a return of 10 percent per year and make no additional contributions, what will your account be worth when you retire in 45 years? What if you wait 10 years before contributing? (Does this suggest an investment strategy?) 19. Calculating Future Values [ [ LO1] You are scheduled to receive $20,000 in two years. When you receive it, you will invest it for six more years at 6.8 percent per year. How much will you have in eight years? 20. Calculating the Number of Periods [ [ [ LO4] You expect to receive $10,000 at graduation in two years. You plan on investing it at 11 percent until you have $60,000. How long will you wait from now? 6. Calculating Interest Rates [ [ LO3] Assume the total cost of a college education will be $325,000 when your child enters college in 18 years. You presently have $85,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child's college education? 7. Calculating the Number of Periods [ LO4] At 4.3 percent interest, how long does it take to double your money? To quadruple it? 8. Calculating Interest Rates [ [O LO3] According to the Census Bureau, in October 2019, the average house price in the United States was $368,600. In October 2000 , the average price was $197,700. What was the annual increase in the price of the average house sold? 9. Calculating the Number of Periods [ [ LO4] You're trying to save to buy a new $275,000 Ferrari. You have $50,000 today that can be invested at your bank. The bank pays 4.8 percent annual interest on its accounts. How long will it be before you have enough to buy the car? 10. Calculating Present Values [ [ LO2] Imprudential, Inc., has an unfunded pension liability of $450 million that must be paid in 20 years. To assess the value of the firm's stock, flnancial analysts want to discount this liability back to the present. If the relevant discount rate is 5.2 percent, what is the present value of this liability? 11. Calculating Present Values [ [ LO2] You have just received notiflcation that you have won the $2 million first prize in Page 154 the Centennial Lottery. However, the prize will be awarded on your 100th birthday (assuming you're around to collect). 80 years from now. What is the present value of your windfall if the appropriate discount rate is 9.1 percent? 12. Calculating Future Values [ [ [0 LO1] Your coin collection contains flfty 1952 silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in 2067. assuming they appreciate at an annual rate of 4.3 percent? 13. Calculating Interest Rates and Future Values [ [ LO1, 3] In 1895, the flrst U.S. Open Golf Championship was held. The winner's prize money was $150. In 2019, the winner's check was $2.25 million. What was the percentage increase per year in the winner's check over this period? If the winner's prize increases at the same rate, what will it be in 2044? 14. Calculating Rates of Return [ LO3] Although appealing to more refined tastes, art as a collectible has not always performed so profitably. During 2003. Sotheby's sold the Edgar Degas bronze sculpture Petite Danseuse de Quatorze Ans at auction for a price of $10,311,500. Unfortunately for the previous owner, he had purchased it in 1999 at a price of $12,377,500. What was his annual rate of return on this sculpture