Please answer the following below

1. Find the simple interest on a $500 investment made for 2 years at an interest rate of 8% per year. What is the accumulated amount? 2. Find the simple interest on a $1000 investment made for 3 years at an interest of 5% per year. What is the accumulated amount? 3. Find the accumulated amount at the end of 9 months on an $800 deposit in a bank paying simple interest at a rate of 6% per year. 4. If the accumulated amount is $1160 at the end of 2 years and the simple rate of interest is 8% per year, what is the principal? 5. A bank deposit is paying simple interest at the rate of 5% per year grew to a sum of $3100 in 10 months. Find the principal. 6. Find the accumulated amount A if the principal P is invested at the interest rate of r per year for t years. a. P=$1000 r=4% t= 8, compounded annually b.P=$12,000 r=5% t=10'/2 compounded quarterly c.P=$150,000 r=4% t= 4 compounded monthly d. P = $200,000 r = 8% t = 4 compounded daily 7. Find the effective rate corresponding to the given nominal rate a. 6% per year compounded semiannually b. 5% per year compounded quarterly c. 4% per year compounded monthly d. 4% per year compounded daily 8. Find the present value of $40,000 due in 4 years at the given rate of interest a. 4% per year compounded semiannually b. 4% per year compounded quarterly c. 3% per year compounded monthly (1. 5% per year compounded daily 9. How long will it take an investment of $6000 to grow to $7000 if the investment earns interest at the rate of 5 1/z % per year compounded continuously? 10. How long will it take an investment of $8000 to double if the investment earns interest at the rate of 8% per year compounded continuously? 11. Maria who is now 50 years old, is employed by a rm that guarantees her a pension of $40,000 per year at age 65. What is the present value of her rst year's pension if the ination rate over the next 15 years is 3% per year compounded continuously? 4% per year compounded continuously? 6% per year compounded continuously? 12. Find the present value of $20,000 due in 3 years at an interest rate of 5.4% per year compounded monthly. 13. Paul is a retiree living on Social Security and the income from his investment. Currently, his $100,000 investment in a 1-year CD is yielding 4.6% interest compounded daily. If he reinvests the principal ($100,000) on the due date of the CD in another 1-year CD paying 3.2% interest compounded daily, nd the net decrease in his yearly income from his investment.