What amount of money needs to be depositedin an account earning 7% interestCompounded monthly so that it will$20,000 in 8the nearest cent).2yearsgrowto? (Round the answertorateof③het f(x) = x²- 5x +6. Find the averagechange when x increases from 4 to 7.Find the derivative of2x³-1x³ + x²+1④Find the derivative of 5x + 3√x²-9The profit function foraproduct isP(x) = 10 800 x-manyitems, x, must be sold to maximize the350 000-x Howprofit? What is the maximumprofit?

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Answered: What amount of money needs to be…

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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What is the PV of an annuity due with 5 payments of $2,500 at an interest rate of 5.5%? Hint: when you see the word “due”, it means that the first payment happens right away (rather than at the end of the period) so you must adjust the formula, in Excel make type=1: =PV(Rate, nper, pmt, fv, type=1)
Calculate the present value of the following annulties, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of S1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) \table[[, \table[[Annuity], [Payment]], \table [[ Annual], [Rate]], \table[[Interest], [Compounded]], \table [[Period], [Invested]], \table [[Present Value of], [ Annuity]]], [1., $5,000, 7.0%, Semiannually,3 years,], [2., 10, 000, 8.0%, Quarterly,2 years, ], [3., 4,000, 10.0 %, Annually,5 years,]]
A saving account earns compound interest at an annual effective interest rate i. Given that d12,41 = 0.08, Find i1,51- %3D
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.
Use the compound interest formula A = P(1 + r)' and the given information to solve for t. 201 A= $42.000, P= $28,000. r= 7% T=?
1. Let the annual interest rate be 1 %. Compute 37 数字 Enter an answer correct to 6 decimal places. ä77| äF\ 数字 Enter an answer correct to 6 decimal places.
Calculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1. PV of $1. FVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. 2. 3. Annuity Payment $ 5,600 10,600 4,600 Annual Rate Interest Compounded Semiannually 9.0% 10.0% Quarterly 11.0% Annually Period Invested 3 years 2 years 5 years Present Value of Annuity
Use factors and a spreadsheet to determine the interest rate per period from the following equation: 0=-36,000+8,000 (P/A,i*,5) + 8,000 (P/F,i*,8) (Round the final answer to three decimal places.) The interest rate per period is | %.
Use factors and a spreadsheet to determine the interest rate per period from the following equation: 0 = -32,000 + 8, 000 (P/A,i*,5) + 8, 000 (P/F,ï* ,8) The interest rate per period is %.
Assume that you must estimate what the future value will be two years from today using the future value of 1 table. (PV of $1, EV of $1. PVA of $1, and FVA of $1) Which interest rate column and number-of-periods row do you use when working with the following rates? (Round percentage answers to 2 decimal places.) Answer is complete but not entirely correct. Number of Periods 1. 12% annual rate, compounded annually 2.8% annual rate, compounded semiannually 3. 12% annual rate, compounded quarterly 4. 12% annual rate, compounded monthly Interest Rate 12.00 2.00 3.00 1.00 % % % % 2 80 24
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?
Use a calculator to evaluate the present value of an annuity formula [1-(1+) -nt P = m for the values of the variables m, r, andt (respectively). Assume n = 12. (Round your answer to the nearest cent.) $1,050; 5%; 3 yr %24

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