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- Exercise (1.77) You deposit an amount X into an account at time 0 and 2X into the same account at time 3. The account balance at time 5 is 5,000. If the account has earned a 4% annual effective rate, what is the value of X? Answer: 1,479.35Let 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:Consider the problem below... Find the accumulated balance after 3 years when $6500 is deposited into an account that compounds monthly with an APR of 4% compounding monthly. Match the values given in the problem with the correct notation. Question 2 options: 1234 0.04 1234 3 1234 12 1234 6500 1. P 2. APR 3. n 4. Y
- 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.Use the formula P = 1+ A nt 1 to determine the periodic deposit. Periodic Deposit Rate Time Financial Goal $? at the end of every six months 10% compounded semiannually 8 years $350,000 $7268.91 $14,794.47 $36,652.63 $30,605.40A deposit $400 today in an account paying 7% per year. What would be the balance in your account after 6 years? O A. $2861 B. $3065 O c. $600 O D. $568
- An amount of $1,000 is deposited in an account that carries a rate of 8% compounded semi- annually. What will be the balance in the account at the end of 5 years? A. $12,006.11 В. $1,469.33 C. $1,216.65 D. $1,480.24please solve all part i need answers all Q3): Fill in the entire chart for the below annuities by filling in all the blanks. # Payment and frequency (PMT) Time in years (n) Interest rate and compound frequency (I/Y) Present Value (PV) Future Value (FV) a. $5,682.04 per quarter (end) 5 years 5% compounded quarterly ______________ Not Applicable b. $241.63 per month (end) 69 payments 6 ¼ % compounded monthly Not Applicable _______________ c. $____________ per quarter 7 years and 3 months 3 % compounded semi-annually $7,795.89 Not Applicable d. $445.30 per month __________years 7.45 % compounded quarterly Not Applicable $24,788.40 e. $2,000 beginningof every six months 12 ½ years _______compounded quarterly $37,708.30 Not Applicable f. $2,789.58 beginning of every 3 months 60 months 2.75% compounded quarterly Not Applicable…Q2. Deposits are to be made to an account as indicated in the table below which bears interest at the rate of 10% compounded annually. How much will there be in the account at the end of the sixth year? END OF YEAR DEPOSIT 1 2 500 3 1000 4 1500 2000 Answer: F6 = 6,078.05Php %3D
- Suppose that you deposited $1,000 in a savings account at the beginning of a year where the annual interest rate is 18%, for each month the annual effective rate is: Select one: a. $1195,61 b. $11561.5 c. %19.561 d. $19561.5. Estimate the duration of Deposit NBank Balance SheetCash = $ 50Loan M (7%, 6 years) = $200Deposit N (3 years, 2%) = $ 200Equity = $ 50Total Assets = $250Total Liabilities = $ 250 a.1.94 b. 2.94 c. 3.94 d. 4.94Suppose you deposit $1,016.00 into an account 4.00 years from today. Exactly 13.00 years from today the account is worth $1,741.00. What was the account's interest rate? Submit Answer format: Percentage Round to 3 decimal places (Example: 9.243%, % sign required. Will accept decimal format rounded to 5 decimal places (ex. 0.09243))