For a total accumulated amount of $3639.55, a principal of $2000, and a time period of 9 years, use the compound interest formula to find r, if interest is compounded monthly
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- 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 = $Let y be the balance in an account if you deposit $5000 for x years at 4% APR compounded monthly. USE ALL DECIMALS a) Write the formula for y = f(x) b) Then rewrite the formula as an annual compounding (APY) formula y = c) The APY (clear from part b) is:Calculate the present value (principal) and the compound interest (in $). Use Table 11-2. Round your answers to the nearest cent. CompoundAmount Term ofInvestment NominalRate (%) InterestCompounded PresentValue CompoundInterest $18,500 18 months 4 semiannually $ $
- Calculate the present value (principal) and the compound interest (in $). Use Table 11-2. Round your answers to the nearest cent. CompoundAmount Term ofInvestment NominalRate (%) InterestCompounded PresentValue CompoundInterest $400,000 10 years 4 annually $ $You have taken a loan of $84, 000.00 for 25 years at 5.5% compounded quarterly. Fill in the table below: (Round all answers to 2 decimal places.) \table[[Payment number, Payment amount, Principal Amount, Interest, Balance.], [0),... S 84,000.00,1,1), vdots....S.1) Let y be the balance in an account if you deposit $5000 for x years at 4% APR compounded monthly. USE ALL DECIMALS except in e and fand h! a) Write the formula for y = f(x) b) Then rewrite the formula as an annual compounding (APY) formula as shown in the Lecture 16 notes. y = (rewritten). c) The APY (clear from part b) is: d) Then use the 2âd version of y to write y ' - e) How much is the investment worth after 7 years? f) How fast is the investment growing after 7 years? g) What is the percentage rate of growth (PROC) after 7 years as a percent? USE ALL DECIMALS! h) Write a sentence translating into English your answer for f' (7) : i) Show the second way to find the derivative of your formula in a) using the chain rule (as found in the chain rule lecture): j) Find y'(7) from your answer in j and confirm it is the same (at least to 7 decimals) as using the formula in d.
- If a principal of P3840 earns interest of P204 in 3 years and 5 months, what is the simple interest rate in effect? In 2 decimal places in percentFind the time t, in years, for the principal P = $715 to reach the future value F = $740 under r = 1.89% interest compounded quarterly. Round your final answer to two decimal places. Suppose that P dollars in principal is invested in an account earning 3.2% interest compounded continuously. At the end of 5 yr, the amount in the account has earned $1388.09 in interest. Part: 0 / 2 Part 1 of 2 (a) Find the original principal. Round to the nearest dollar. (Hint: Use the model A = Pe' and substitute P+1388.09 for A.) The original principal was approximately S
- Suppose that P dollars in principal is invested in an account earning 2.1% interest compounded continuously. At the end of 2 yr, the amount in the account has earmed $193.03 in interest. a. Find the original principal. Round to the nearest dollar. (Hint: Use the model A = Pe" and substitute P + 193.03 for A.) b. Using the original principal from part (a) and the model A = Pe", determine the time required for the investment to reach $6000. Round to the nearest tenth of a year.Complete or fill in the entire chart for the below annuities by filling in all the blanks (3 each) # Payment and frequency (PMT) Time in years (n) Interest rate and compound frequency (I/Y) Present Value (PV) Future Value (FV) 6) $370.00 per end of quarter 9 years 5% compounded quarterly Not Applicable _______________ 7) $100.00 per month 5 years 6 % compounded monthly ______________ Not Applicable 8) $__________per year 8 years 12 % compounded annually $10,000 Not Applicable 9) $2,000 per quarter __________years 8.75 % compounded quarterly Not Applicable $112,181.65 10) $3,000 every 6 months 24 payments ____________% compounded semi-annually $50,000 Not Applicable 11) $_________ monthly 15 years 18% compounded monthly Not Applicable $1,000,0000 12) $1,690 every 3 months _________ years 2 ¼ % compounded quarterly…Complete the following using compound future value. (Use the Table provided.) Time Principal Rate Compounded Amount Interest 6 months $15,000 6 % Semiannually