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- 8) Suppose an investment of $5.750.00 paying 6.5% nominal rate compounded semi-annually has a term of 5 years. Find the compound interest.An investment is represented by the equation A(t)=10,250(1+ 0.04/12)120 How many years has the account been accumulating interest?The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(rt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?
- Using Table 11-1, compute the amount of compound interest (in $) earned in 1 year and the annual percentage yield (APY) for the investment. (Round your answers to two decimal places.) Compound Interest Earned in 1 Year Annual Percentage Yield (APY) Nominal Interest Principal Rate (%) Compounded $33,000 12 monthly $ % Need Help? Read It 3 Type here to searchThe principal P is invested at the interest rate of r/year for t years. (Use a 365-day year.) P = $110,000, r = 4%, t = 7 1 4 , compounded monthly.Determine i, the compound interest rate.Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t years. (Use a 365-day year. Round your answer to the nearest cent.) P = $260,000, r = 3 1/2%, t = 2, compounded daily A=$
- Find the accumulated value of an investment of $15,000 for 5 years at an interest rate of 1.45% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly d. compounded continuously. i Click the icon to view some finance formulas. a. What is the accumulated value if the money is compounded semiannually? (Round to the nearest cent as needed.) b. What is the accumulated value if the money is compounded quarterly? (Round to the nearest cent as needed.) C. What is the accumulated value if the money is compounded monthly? S (Round to the nearest cent as needed.) d. What is the accumulated value if the money is compounded continuously? S (Round to the nearest cent as needed.)Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t years. (Use a 365-day year. Round your answer to the nearest cent.) P = $43,000, r = 9 3/4 % t = 9, compounded quarterly A = $Using Table 11-1, calculate the compound amount and compound interest (in $) for the investment. (Round your answers to the nearest cent.) Time Nominal Interest Compound Compound Principal Period (years) Rate (%) Compounded Amount Interest $23,000 13 5 annually Need Help? Read It
- Using Table 11-1, calculate the compound amount and compound interest (in $) for the investment. (Round your answers to the nearest cent.) Principal TimePeriod (years) NominalRate (%) InterestCompounded CompoundAmount CompoundInterest $8,000 4 12 annually $ ?? $ ??3. Find the future value and the interest earned if RM2,000 is invested for 3 years at 6% compounded monthly.(S=RM2393.36,1=RM393.36)Write simple R code, calculate the interest earned on an investment of $2000, interest rate of 3%, compounded annually, for 1,2,3, .., 30 years.