A certain some of money P draws interest compounded continuously. If a certain time there are Po dollars in the account, determine the time when the financial attains the value of 2Po dollars if the annual interest rate at 2%
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- A certain sum of money P draws interest compounded continuously. If at a certain time there are Po dollars in the account, determine the time when the financial attains the value of 2Po dollars if the annual interest rate at 4%. Select the correct response: O 0.289 hr O 0.212 hr 0.562 hr none of the choices 0.321 hrThe principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. P = $3000, r = 8%, t = 4 years $ (Round to the nearest cent as needed.) OThe 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?
- The principal P is borrowed at a simple interest rate R for a period of time T. Find the loans Future Value A or total amount due at the time. P= 39000 R= 6.5% t= 3 yearsAssume that at time 0 a sum L is lent for a series of n yearly payments. The rth payment, of amount xr, is due at the end of the rth year. Let the effective annual interest rate for the rth year be ir. Give an identity which expresses L in terms of the xr and ir.The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total amount due at time t. P=$4000, r= 7.5%, t= 9 months The future value is $ (Simplify your answer. Type an integer or a decimal.)
- The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 365 days in a year. P = $830, r = 2%, t = 2 years (Round to the nearest cent as needed.)The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P = $3000, r = 3%, t = 1 year $ €...The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P = $510, r = 4%, t = 2 years (Round to the nearest cent as needed.)
- For the following exercise, use the compound interest formula, A(t) = P 1 + r n nt , where money is measured in dollars.After a certain number of years, the value of an investment account is represented by the expression 10,950 1 + 0.03 2 24 . How many years had the account been accumulating interest? yrEstimate the annual percent rate for the add on loan Using the given number of payments and annual interest-rate. Use the formula APR = 2nr/n+1 N= 48; R= 8% APR=???For compounding more frequently than annual, the effective interest rate Select one: a. is higher than the nominal rate b. is lower than the nominal rate c. depends on the amount borrowed 18 d. equal to the nominal rate