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  3. q(1): an object moving vertically is at the given

Q(1): An object moving vertically is at the given heights at the specified times. Find the...

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Basic Math

Q(1): An object moving vertically is at the given heights at thespecified times. Find the position equation

s = 1/2at2 + v0t + s0

for the object At

t = 1 second, s = 141 feet

t = 2 seconds, s = 93 feet

t = 3 seconds, s = 13 feet

Q(2):

Find the equation

y = ax2 +bx + c

of the parabola that passes through the points. To verify yourresult, use a graphing utility to plot the points and graph theparabola.

(0, 3), (1, 4), (2, 3)

Q(3):

A natural history museum borrows $2,000,000 at simple annualinterest to purchase new exhibits. Some of the money is borrowed at5%, some at 6.5%, and some at 7.5%. Use a system of linearequations to determine how much is borrowed at each rate given thatthe total annual interest is $129,750 and the amount borrowed at6.5% is four times the amount borrowed at 7.5%. Solve the system oflinear equations using matrices.

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