When $8,600 is invested in a savings account paying simple interest for the year, the interest, i in dollars, can be obtained from the equation i=8,600r, where r is the rate of interest in decimal form. Graph i=8,600r, for r up to and including a rate of 16%. If the rate is 7%, how much interest is earned? OA. $6,020 OB. $602 OC. $586 OD. $622
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- When $8,600 is invested in a savings account paying simple interest for the year, the interest, i in dollars, can obtained from the equation i=8,600r, where r is the rate of interest in decimal form. Graph i=8,600r, for r up to including a rate of 16%. If the rate is 7%, how much interest is earned? OA. $6,020 OB. $602 O C. $586 OD. $622 IThe 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.)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.
- Suppose you invest $1,500 in an account paying 6% interest per year. How much of this balance corresponds to interest on interest earned in the last (7th) period? (Dollar figures should be approximated to the nearest cent of a dollar, while rates should be expressed in percentage terms without using the "%" symbol and approximated to the nearest second decimal place.)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?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%
- The value of a bank account collecting interest which is continuously compounded is modeled by the equation: A = Pet where: A is the value of the account at time t P, or the principal, is the value of the initial investment t is time (measured in years) r is the interest rate (written as a decimal) 1. Suppose that $5000 is put into an account with an interest rate of 8% compounded continuously. a) How much will the account be worth after 3 years (exact value) ? b) How much will the account be worth after 3 years (rounded to the nearest cent) ? c) How many years will it take for the value of the account to double? In an exponential model for population growth, the size of a population at time t is rt described by the equation: N(t) = Net where: N is the initial population or the population at t=0 r is the percentage growth rate t = time and can be measured in different units depending on the problem. Note: You don't have to use e and r. It is often possible to find an equivalent form…An account paying annual compound interest was opened with OMR2,000 10 years ago. Today, the account balance is OMR3,500. If the same interest rate is offered on an account paying simple interest, how much income would be earned each year over the same time period? Select one: O a. OMR150.0o O b.OMR 92.60 O COMR115.20 O d. OMR 80.40 O e. OMR 56.90Find the interest earned on an investment of $10,000 into a money market account that pays a simple interest rate of 1.75% over a 39 wk period.
- If you borrow $9000 at an annual percentage rate (APR) of r (as a decimal) from a bank, and if you wish to pay off the loan in 3 years, then your monthly payment M (in dollars) can be calculated using: M = 9000 (er/12-1) / 1 - e-3r 1) Describe what M (0.035) would represent in terms of the loan, APR, and time. 2) If you are only able to afford a max monthly payment of $300, describe how you could use the above formula to figure out what the highest interest rate the bank could offer you and you would still be able to afford the monthly payments. In addition, determine the maximum interest rate that you could afford.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 $ €...If you deposit $P into a savings account that earns interest at a rate of i% per month for n years, the future worth in year n is represented by all of the following equations, except: (a) F = $P(F∕P, effective i/month, 12n) (b) F = $P(F∕P, effective i/quarter, 3n) (c) F = $P(F∕P, effective i/6-month, 2n) (d) F = $P(F∕P, effective i/year, n)