Q(1) A natural history museum borrows $2,000,000 at simpleannual interest to purchase new exhibits. Some of the money isborrowed at 6%, some at 7.5%, and some at 8.5%. Use a system oflinear equations to determine how much is borrowed at each rategiven that the total annual interest is $137,000 and the amountborrowed at 7.5% is four times the amount borrowed at 8.5%. Solvethe system of linear equations using matrices.
Q(2) Use a system of equations to find the cubic function f(x) =ax3 + bx2 + cx + d  that satisfiesthe equations. Solve the system using matrices.
f(?1) = 3
f(1) = 5
f(2) = 30
f(3) = 95
Q(3) An object moving vertically is at the given heights at thespecified times. Find the position equation
s = 1/2at2 + v0t + s0 for theobject.
At t = 1 second, s = 136 feet
At t = 2 seconds, s = 108 feet
At t = 3 seconds, s = 48 feet
