Answer all of the questions below. Be sure to show all of your work. Record all of the calculator inputs when using the Finance (TVM) solver. Round all monetary amounts to the nearest 1 cent. Assume all mortgages require monthly payments unless specifically stated. 1. You have decided to purchase a house with a price of $299,000. The bank requires a minimum 15% deposit. (24 pts] a. How much is your deposit? b. What is the size of your mortgage? That is how much will you need to borrow from the bank to purchase the house? C. If you get a 30-year loan at 4.25%, what is your monthly payment? d. How much interest will you pay over the 30-year life of the loan? e. If you decide to pay an extra $100 per month, how long will it take to pay off your loan? f. How much interest will you save by paying off extra? 2. A patient enters a hospital at noon and is immediately given 1000 mg of an intravenous medicine. At 4 p.m. 650 mg of the medicine remain in his system. Round all values to two decimal places, (20 pts] a. Find the exponential function representing the amount of the drug in the patient's blood stream x hours after noon. b. What is the rate of decay for this drug? C. What is the half-life of this drug? d. How much of the drug is left in the patient's blood stream at midnight? e. When will there be 50 mg of the drug in the patient's blood stream? 3. Parents of a newborn child want to have a minimum $40,000 in an education savings account when the child turns 18 years old. [20 pts) a. They have found one investment fund account that pays 5% interest compounded annually. How much must they deposit now in order to reach their goal? b. They have found another investment fund - Investment 2- that pays 3.45% compounded monthly. If the parents can afford to deposit $125 a month. How long would it take them to save the $40,000? C. What is the APY for Investment 2? d. If the parents invest $220 each month for 18 years in an account that pays 3.45% compounded monthly, how much will be in the child's account? e. If the parents invest $220 each month for 18 years in an account that pays 3.45% compounded monthly, how much interest would they earn over the 18 years