What deposit made at the beginning of each month will accumulate to $120,000 at 5% compounded semi-annually at the end of 10 years? (1) Effective Interest C = Blank 1 K = Blank 2 Thus, ieff = Blank 3 NOTE: Show in 4 decimal places. (2) Final Answer = PHP Blank 4 NOTE: Do not round in between solutions. Final answer round to two decimal place
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What deposit made at the beginning of each month will accumulate to $120,000 at 5% compounded semi-annually at the end of 10 years?
(1) Effective Interest
C = Blank 1
K = Blank 2
Thus, ieff = Blank 3 NOTE: Show in 4 decimal places.
(2) Final Answer = PHP Blank 4
NOTE: Do not round in between solutions. Final answer round to two decimal places
Step by step
Solved in 7 steps
- 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.1 What minimum amount of money earning 7.60% compounded semiannually will sustain withdrawals of $2, 200 at the beginning of every month for 10 years? ( Do not round intermediate calculations and round your final answer to 2 decimal places.) The minimum amount $ 220,740.87 0/10 points awardedNote: DONT USE EXCEL! Directions: Compute the interest. Round off your final answer up to 2 decimal places. 1. P27,000 at 6.5% simple interest for 1 year. 2. P31,000 at 7.5% simple interest for 50 days. 3. P63,000 at 12.5% simple interest for 3 years and 6 months. 4. P89,500 at 11.5% simple interest for 220 days. 5. 36,000 at 9.7% simple interest for 2 years.
- 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:1 Using the simple interest formula, determine the number of days until $2269.00 will earn $26.54 interest at 3-% p.a. The number of days required is (Round up the final answer to the nearest day as needed. Round all intermediate values to six decimal places as needed.)Compute the future values of the following annuities first assuming that payments are made on the last day of the period and then assuming payments are made on the first day of the period: (Do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16)) Payment $ 183 5,155 75,084 167,932 Years 13 8 5 9 Interest Rate (Annual) 12% 11 13 4 Future Value (Payment made on last day of period) 4 Future Value (Payment made on first day of period)
- How long will it take $100 to double if it earns the following rates? Compounding occurs once a year. Round your answers to two decimal places. a. 6%. 11.90 year(s) b. 10%. c. 17%.. year(s) 4.41 year(s) d. 100%. 1.00 year(s)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. YSuppose 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))
- How long will it take $200 to double if it earns the following rates? Compounding occurs once a year. Round your answers to two decimal places. 4%. year(s) 13%. year(s) 17%. year(s) 100%. year(s)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…How long will it take $700 to double if it earns the following rates? Compounding occurs once a year. Round your answers to two decimal places. a. 8%. year(s) b. 10%. year(s) C. 16%. year(s) d. 100%. year(s)