Directions: answer the following items completely. show step by step solution and indicate your final answer (rounded off to 2 decimal places)1.) what is the annual rate of interest if php265 is earned in four months on an investment ofphp15,000? 2.) a loan of php2,000 is made for a period of 13 months, from january 1 to january 31 the followingyear, at a simple interest of 20%. what future amount is due at the end of the loan period? 3.) if you borrow money from your friend with simple interest of 12%, find the present worth ofphp20,000, which is due at the end of nine months.4.) a man wishes his son to receive php200,000 ten years from now. what amount should he investif it will earn interest of 10% compounded annually during the first 5 years and 12% compoundedquarterly during the next 5 years? 5.) by the conditions of a will, the sum of php25,000 is left to a girl to be held in trust by her guardianuntil it amounts to php45,000. when will the girl receive the money if the fund is invested at 8%compounded quarterly? 6.) a woman borrowed php3,000 to be paid after 1 years with interest at 12% compoundedsemiannually and php5,000 to be paid after 3 years at 12% compounded monthly. what singlepayment must she pay after 3 years at an interest rate of 16% compounded quarterly to settlethe two obligations? 7. )what is the future worth of php600 deposited at the end of every month for 4 years if the interestrate is 12% compounded quarterly? 8. )money borrowed today is to be paid in 6 equal payments at the end of 6 quarters. if the interestis 12% compounded quarterly, how much was initially borrowed if quarterly payment is php2,000? 9.) you need php32,500 per year for four years to go to college. your father invested php40,000 in7% account for your education when you were bom. if you withdraw php32,500 at the end of your17th, 181, 19th and 20th birthday, how much will be left in the account at the end of the 21st year? 10.) a man purchased a house for php425,000. in the first month that he owned the house, he spentphp75,000 on repairs and remodeling. immediately after the house was remodeled, he wasoffered php545,000 to sell the house. after some consideration, he decided to keep the houseand have it rented for php4,500 per month starting two months after buying the house. hecollected rent for 15 months and then sold the house for php600,000. if the interest rate was 1.5%per month, did the man gain by not immediately selling the house, or did he lose? how muchmoney did he make/lose?
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