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- Suppose that you deposit $7000 in a savings account that pays 4% annual interest, with interest credited to the account at the end of each year. Assuming that no withdrawals are made, complete the following: a. Find the balance in the account after 5 years. b. Find the balance of the account after 9 years and 10 months.A person deposits $2750 in an account that yields 3.5% interest compounded annually. Set up a recurrence relation for the amount in the account at the end of n years.b) Find an explicit formula for the amount in the account at the end of n years.c) How much money will be in the account after 25 years?You borrow a sum of money that calls for repayment to begin at $4,000 at the end of the first year, and increase by $500 at the end of each subsequent year through the end of year 5. If the sum is borrowed at 10%, how much have you borrowed? Express your answer in $ to the nearest $100
- A loan of $20,000 has a stated interest rate of 5 percent per year. Repayment of principal and all accumulated interest is to be made at the end of year 10. a) How much is paid at the end of the tenth year? b) How much simple interest is paid (excluding the interest accumulated on interest)? c) How much compound interest is paid (i.e., interest on interest)? please show formulas. ThanksYou deposited $250 in the bank for 5 years at 12%. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the compounded amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. Year Year Beginning Balance Interest Year End Balance 1 $250.00 2 3 4 5 PLEASE NOTE #1: All dollar amounts will be with "$" and commas as needed and rounded to two decimal places (i.e. $12,345.67). Present Value (PV) PV FV Factor Future Value (FV) PLEASE NOTE #2: All factors from the PV FV Tables are rounded to three decimal places (i.e. 1.234).Once per year Ritchie Rich deposits an amount of $800 in an account which pays 10% interest per year, compounded annually, with additional deposits of $800 continually made at the end of the year. If B, is the balance in the account, in dollars, immediately after Ritchie makes the nth deposit, then we can write B₁ = $800. (a) Complete the table to find the following. Report to the nearest $0.01. i) the balance, B, of the account on the day immediately after the second deposit. ii) the balance, B₁, of the account on the day immediately after the third deposit. iii) the balance, B₁, of the account on the day immediately after the fourth deposit 71 (Number of deposits) 1 2 OO B= $321158.22 (b) Suppose Ritchie makes 38 deposits. What is the balance of the account on the day immediately after the 38th deposit? 0 B$29923.47 B$29123.47 B= $264031.59 B, ($) $800 $ Number O B$291234.75 (It is more than $880.) $ Number S Number Q (c) Suppose Ritchie makes 438 deposits. Which is true about the…
- 1.Assume that you deposit $946 into an account that pays 11 percent per annum. How much money will be in the account 24 years from today? Round your answer to 2 decimal places; record your answer without commas and without a dollar sign. 2. You borrowed some money at 8 percent per annum. You repay the loan by making three annual payments of $200 (first payment made at t = 1), followed by five annual payments of $507 , followed by four annual payments of $885 . How much did you borrow? Round your answer to 2 decimal places; record your answer without commas and without a dollar sign.A business man has an obligation to pay $ 8,000 four years from now, and another obligation to pay $ 12,000 nine years from now. The money needed is to be provided by setting up an account into which equal deposits are made at the end of each year for 9 years. Find the annual deposit ( All interest is at 7 percent compounded annually.) please , doing these math correctlyYou have taken a loan of $92,000.00 for 35 years at a 4.9% annual interest rate, with interest compounded quarterly. Fill in the amortization table below to show how the payments will be applied to interest and principal: (Round all answers to 2 decimal places. Please note the order of the headings in the table - make sure you put the answers in the appropriate columns as layed out below.) Payment number Payment amount Principal Amount Interest 0) 1) 2) 3) $ LA tA +A LA $ Balance $92,000.00 tA LA
- You borrowed $200,000 from the Bank of Nova Scotia. The loan is to be repaid at the end of five (5) years. The bank is to receive 8% interest on the loan balance that is outstanding. i. Calculate the yearly payment on a $200 000 loan. ii. Prepare an amortization schedule for this loan. iii. What is the loan balance just after the end of year two (2)? iv. What is the total interest paid over the life of the loan? v. What is the effective rate of interest on the loan if interest is compounded quarterly?A person wants to deposit $10,000 per year for 6 years. If interest is earned at the rate of 10 percent per year, compute the amount to which the deposits will grow by the end of the 6 years if: a . Deposit of $10,000 are made at the end of each year with interest compounded annually. b. Deposit of $5,000 are made at the end of each 6-months period with interest compounded semiannually.You deposit $700 at the end of each month into an account earning interest at an annual rate of r compounded monthly. Use a spreadsheet to find the value of r that produces an account value of $50,000 in 5 years.