1. Ben invests a total of $1000 in two accounts, one earning 5% annually and another earning 7% annually. His total annual return is $65. a. Using two variables, make a table representing the return on his investments. b. Write and solve a system of equations to determine the amount invested in each account. i. at 5% ii. at 7% 2. A candy manufacturer makes Choco Nuts (packages of chocolate­ covered peanuts), the Nutty Chew (a caramel bar covered with peanuts), and the Chocolate Nut Chew (a chocolate-covered bar of mixed caramel and peanuts). Choco Nuts Nutty Chew Chocolate Nut Chew Peanuts 11oz 2 1 oz 4 1 oz Caramel 1 oz 3 4 oz Chocolate 1oz 2 1oz 4 If 3750 oz of peanuts, 2750 oz of caramel, and 1500 oz of chocolate are used each day, write a system of equations that could be used to find how many of each type of candy are made daily. Do not solve the system.
3. Marla invests $8000, some at 7% and some at 5%. If she earns $493 annual interest, how much is invested in each account?
4. A plane can fly 1300 mi east with the jet stream in the same time it takes to fly 700 mi west into the jet stream. Determine the speed of the jet stream if the plane has an air speed of 700 mi/hr.