Tom deposits $100 to his investment account at the end of each month for the first n month, and $200 to his account on the next 2n month. The account has monthly effective compound rate interest i. The money is doubled every n month in his investment account. At the end of 3n month, his balance in this account is $250,000. Find the effective monthly interest i and the number of months n.
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- Pedro deposits four installments in his savings account as follows: BRL 2500 initial deposit (today); BRL 5000 after 3 months; BRL 9000 after 10 months; BRL 7000 after 16 months; Since all deadlines are related to the first deposit, calculate the balance at the time of the last deposit, since the rate is 2% per month. The balance on the last deposit will be R$ ?James made an initial deposit into an account of $1,000 at time t = 0, followed by five annual deposits of $200 at times t = 1,2, 3, 4, 5. James will receive payments from the account at times t = 7, 8, 9, starting at $1,500 and decreasing by $X per year. The balance in the account after the last payment is $0. Determine X given an effective annual interest rate of 7%. Hint: Sketch a time diagram to see the payments. Possible Answers A $490 but < $530 D 2 $530 but < $570 E 2$570At the beginning of each month, Francisco deposits $7,500 into an investment account. If the interest rate is 2% monthly, compounded each month, calculate the amount after 3 years?
- 1) Alisha invests 5,000 into an account. The effective monthly interest rate is .25% for the first six months, .5% for the next year, and .75% for the next six months. Find the amount Alisha has in the account after two years, and find the average compound monthly interest rate (i.e. the equivalent effective monthly interest rate) for the two year period. Finally, find the average yearly interest rate (i.e. the equivalent effective annual interest rate) for the two year period.Alina deposits $129 at the end of every six months into an account that earns 2.56% compounded monthly. Find the future value of the account in 10 years and 6 months. Round your answer to the nearest cent. future value = SYou make deposits of $700 at the end of each month into an account earning i^(12) = .03 for three years. At the end of the three years, you take the accumulated value and purchase a 4 year annuity immediate at a rate of i^(12) = .06 that makes monthly payments of P. Find P.
- Suppose Jorge Otero has set up an annuity due with a certain credit union. At the beginning of each month, $130 is electronically debited from his checking account and placed into a savings account earning 6% interest compounded monthly. What is the value (in $) of Jorge's account after 17 months?Suppose Jorge Otero has set up an annuity due with a certain credit union. At the beginning of each month, $130 is electronically debited from his checking account and placed into a savings account earning 6% interest compounded monthly. What is the value (in $) of Jorge's account after 17 months? (Round your answer to the nearest cent.)Anita opens a savings account. At the start of each month she deposits SX into the savings account. At the end of each month, after interest is added into the savings account, the bank withdraws $2500 from the savings account as a loan repayment. Let M be the amount in the savings account after the n" withdrawal. The savings account pays interest of 4.2% per annum compounded monthly. (i) Show that after the second withdrawal the amount in the savings account is given by M = X(1.0035 + 1.0035)- 2500(1.0035 + 1). %3D (ii) Find the value of X so that the amount in the savings account is $80 000 after the last withdrawal of the fourth year.
- You agree to make 24 deposits of $500 at the beginning of each month into a bank account. At the end of the 24th month, you will have $12,800 in your account. If the bank compounds interest monthly, what nominal annual interest rate will you be earning?Pascal has recently opened an RRSP. He plans to deposit $ 965 at the end of every month for 20 years. The account will compound interest semi-annually at the nominal rate of 5.9 %. How much money will Pascal have in his account immediately after his last deposit? a. $ 410717.66 b. $ 410717.66 c. $ 454411.03 d. $ 436933.68 e. $ 410717.66Kaye deposited $8,500 into a savings account today. For how long can $600 be withdrawn from the account at the end of every three months starting three months from now if interest is 7.1% compounded quarterly? State your answer in years and months (from 0 to 11 months). She can make withdrawals for year(s) and month(s).