Complete the table by finding the balance A when P dollars is invested at rate r for t years and compounded n times per year. (Round your answers to the nearest cent.) P $2000, r = 8%, t = 10 years = nA1$ 2$ 4$ 12$ 365$ Continuous$
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- Complete the table by determining the balance A for P dollars invested at rate r for t years and compounded n times per year. P = $4000 r = 4% t = 15 yearsComplete the table to determine the balance A for P dollars invested at rate for t years, compounded in times per year. (Round your answers to two decimal places.) P-$3500,= 6%, t = 40 years n 1 2 4 12 365 Continuous compounding $ $ $ $ $ $Calculate the future value of the following single amounts. (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. Initial Annual Investment Rate $ 7,200 5,200 8,200 8% 8% 8% Interest Compounded Annually Semiannually Quarterly Period Invested 9 years 6 years 3 years Future Value
- 3 Use the formula for simple interest, I = Prt, to find the indicated quantity. Assume a 360 day year. |= $120; P = $2000; t= 270 days; r= ? % (Simplify your answer.)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 = $Find the missing values assuming continuously compounded interest. (Round your answers to two decimal places.) InitialInvestment Annual% Rate Time toDouble Amount After10 Years $ % 15 yr $1600
- 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?Complete the table for the time t (in years) necessary for P dollars to triple when interest is compounded annually at rate r. (Round your answers to two decimal places.) 2% 3% 4% 5% 6% 54.93 r t Create a scatter plot of the data. r 60 50 40 30 20 10 60 50 40 30 20 10 t 2 2 3 36.62 3 4 4 X 5 5 27.47 6 6 7 7 8 8 21.97 t r X r 60 50 40 30 20 10 60 50 40 t 30 20 0> 10 18.31 X 2 2 3 3 4 4 7% 15.69 X 5 5 6 6 7 7 8 8 t rCalculate the present value of the following single amounts. (FV of $1, PV of $1, FVA of $1, and PVA a financial calculator. Round your answers to 2 decimal places.) 1. 2. 3. Future Value $ 8,900 5,900 4,900 Interest Compounded 4% Annually 10% Semiannually 8% Quarterly Annual Rate Period Invested 3 years 6 years 2 years Present Value
- (1). Complete the table for an investment subject to n compoundings yearly A=P1+rnnt. Amount Invested Number of Compounding Periods Annual Interest Rate Accumulated Amount Time t in Years $40,000 365 10.2% $100,000 ? Amount Invested Number of Compounding Periods Annual Interest Rate Accumulated Amount Time t in Years $40,000 365 10.2% $100,000 enter your response here (Round to one decimal place as needed.) (2). Prehistoric cave paintings were discovered in a cave in France. The paint contained 39% of the original carbon-14. Use the exponential decay model for carbon-14, A=A0e−0.000121t,to estimate the age of the paintings. Question content area bottom Part 1 The paintings are approximately enter your response here years old. (Round to the nearest integer.) (3). Use the exponential decay model, A=A0ekt, to solve the following. The half-life of a certain substance is…Solve by using the present value formula. Round your answers (in $) to the nearest cent. Compound Term of Investment Nominal Interest Present Compound Amount Rate (%) Compounded Value Interest $12,000 8 years 4.5 monthly $ $Compute the simple interest INT for the specified length of time and the future value FV at the end of that time (in dollars). Round all answers to the nearest cent. $12,300 is invested for 9 months at 7% per year. INT = $ ___ FV = $ __