(2 points) 1. You deposit some money into an account that earns simple interest at a rate of 5% per year. After 584 days, there is $10287 in the account. How much money was initially invested (to the nearest cent)? NE PMT= 1%= FV= PV= P/Y=C/Y= (4 points) 2. You deposit $6,000 into an account that earns an annual interest rate of 3.25% per yr compounded weekly. (a) How much will be in the account (to the nearest cent) 7 years after your initial deposit? N PMT FV= PV P/Y-C/Y (b) What is the effective interest rate for this account, rounded to I decimal places? (4 points) 3. You make a down payment of $3,000 toward the purchase of a new car. Topy the balance, you secure a loan charging interest at a rate of 1.31% per veur, compounded monthly. Under the terms of your finance agreement, you are required to make payment of $115 per month, for 60 months To the nearest cent, what was the purchase price of your car? PMT