Alice invests $8000 in two certificates of deposit; the interest on the first certificate is 2%, and the interest on the second
is 3%. Let's denote the amount she invests in the first certificate by x. Then the amount she invests in the second certificate is _________ . The interest she receives on the first certificate is __________ , and the interest she receives on the second certificate is ______________ . So a function that models the total interest she receives from both certificates is y =___________ .
1. 8000-x (You invest x in the first, then you have 8000-x more to make up for) 2. 0.02x (Interest * how much you invested) 3. 0.03(8000-x) (Interest * how much you invested) 4. 0.02x+240-0.03x =240-0.01x
We define the variables: p: cost of bushel of peaches w: cost of watermelon We wrote the system of equations: 12p + 5w = 150 15p + 8w = 198 We can represent the system in matrix form as Ax = b Where, A = [12 5; 15 8] b = [150; 198] x = [p; w]
