11. A man deposited P6,000 at a rate of 10% per annum. However, to add more fund, he deposits P500 per year that started one year after he deposited the P6,000. If he is withdrawing P1,500 per year for his expenses, for how long will the fund last and what will be the balance in the fund after the last withdrawal was made?
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- 5. A man decided to sell his farm and to deposit the fund in a bank. After computing the interest, they learned that they may be withdraw Php180,000 semi annually for 11 years starting at the end of 7 years when it is time for him to retire. How much is the fund deposited if the interest rate is 5% converted semi annually?Troy Long wishes to deposit a single sum of money in a savings account so that five equal annual withdrawals of $2,000 can be made before depleting the fund. If the first withdrawal is to occur 1 year after the deposit and the fund pays interest at a rate of 5% compounded annually, how much should he deposit? suppose the first withdrawal does not occur until 3 years after the deposit. How much should be deposited?how much can we paid in scolarships at the end of half year if $90.000 is deposited in a trust fund if interest is 8.5% compounded semi-anually? the amount that can be paid each half-year is $_____
- Just in preparation for his retirement, a man intended to invest today into a bank with an interest rate of 2.5% compounded quarterly. QUESTION: What amount must he invested today that can provide a fund of P100, 000 at the end of each year and will start today until the 30th year? ₱591,767.67 ₱606,701.13 ₱2,086,476.22 ₱2,467,986.153. An engineer deposits 12.5% of his salary to an investment fund. This amounts to deposits of P100, 000 yearly for ten years. At the beginning of the third and sixth year he deposits an additional P25, 000 on top of his regular annual deposit. How much money can he withdraw from the fund ten years from now, if the rate of return is 15.2% annually?4. Rodel decided to sell their farm and to deposit the fund in a bank. After computing the interest, they learned that they may withdraw P480,000.00 arly for 8 years starting at the end of 6 years when it is time for him to retire. How much is the fund deposited if the interest rate is 5% converted annually?
- An investor pays ₱1,100,000 for a mine which will yield a net income of ₱200,000 at the end of each year for 10 years and then will become useless. He accumulates a replacement fund at 4.5%. At what rate (%) does he receive interest on his investment at the end of each year? ANSWER WITH COMPLETE SOLUTIONQ1) Suppose Rachel Townsley deposits $10,000 into an account that pays 8 percent interest compounded annually.(a) If she withdraws 10 equal annual amounts from the account, with the first withdrawal oocuring 1 year after the deposits, how much can she withdraw each year in order to deplate the fund with the last withdrawal? (b) If first drawal is delayed for 2 years, how much can she withdraw each of the 10 years?3. A person deposits $18,000 in a fund that pays interest at the rate of 6% continuously. He withdraws 1200 dollars each year. i) Set up a differential equation where Y(t) represents the total amount in the fund after t years. Use the integrating factor method to solve the differential equation for the amount in the fund after t years. ii) What is the maximum withdrawal her can make every year so that the account is exhausted in 8 years? (Hint: Set up a new equation and solve)
- H5. Jordan deposited $23,500 into a fund at the beginning of every quarter for 20 years. He then stopped making deposits into the fund and allowed the investment to grow for 3 more years. The fund was growing at 4.31% compounded monthly. a. What was the accumulated value of the fund at the end of year 20? Round to the nearest cent b. What was the accumulated value of the fund at the end of year 23? Round to the nearest cent c. What is the total amount of interest earned over the 23-year period? Round to the nearest cent Show proper step by step calculation1. Mrs. Renata converted the payment of her P50,000 debt to five (5) equal payments at the end of each year. If there is an interest rate of 10% per year, determine the present worth and future worth of the annual payments. What is the value of the five (5) annual payments at the end of the third period? Include the cash flow diagram in your solution.Mr. Canlapan deposited his money from selling his old vehicle. The fund would allow him to withdraw 45,000 pesos semi-annually for 5 years starting at the end of 1 year. How much is the amount deposited if the interest rate is 2% converted semi-annually?