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)
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=?
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?
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Suppose a savings account has a nominal rate of 3.83% and interest is compounded monthly. What is the account's effective annual yield? 7 State your answer as a percentage rounded to 1 decimal place. [Only give the numerical answer. Do not enter a percentage sign (%) in the answer box.] • Previous 11 * M D 4 % EEEE 5 hp > 6 no
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1) The force of interest is given by 8 = 0.014. Compute the following values = 数字 5- 5 5 = 数字 Enter an answer correct to 6 decimal places. 2) You are paid £1 a day for 5 years. The interest rate is 8%. Model the daily payments as an annuity paid continuously and compute the accumulated value of this annuity. £ 数字 Enter an answer correct to 2 decimal places.
*Using Matlab* 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)^(nt) 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?
All other things being equal, the numerical difference between a present and a future value corresponds to the amount of interest earned during the deposit or investment period. Each line on the following graph corresponds to an interest rate: 0%, 8%, or 16%. Identify the interest rate that corresponds with each line. VALUE (Dollars) Line A: 01 2 3 4 5 Line B: 6 B Line C: C 7 8 9 10 TIME (Years) Investments and loans base their interest calculations on one of two possible methods: the interest and the interest methods. Both methods apply three variables-the amount of principal, the interest rate, and the investment or deposit period to the amount deposited or invested in order to compute the amount of interest. However, the two methods differ in their relationship between the variables.
Suppose the interest rate is3.6%. a. Having $650 today is equivalent to having what amount in one year? b. Having $650 in one year is equivalent to having what amount today? c. Which would you prefer, $650 today or $650 in one year? Does your answer depend on when you need the money? Why or why not? a. Having $650 today is equivalent to having what amount in one year? It is equivalent to $____. (Round to the nearest cent.)
Suppose that the interest rate is 1%. What is the value of the discount factor, v? V= 数字 Enter a value correct to 6 decimal places What is the rate of discount, d? d 数字 Enter a percentage correct to 2 decimal places A payment of £800 will be made in 3 years. What is the present value of this payment? £ 数字 Enter a value correct to 2 decimal places

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