A computer store bought a program at a cost of - id20238999509 от pramirez5169 08.06.2022 04:50

Question

Mathematics: A computer store bought a program at a cost of $20 and sold it at a selling price of $23 Find the percent markup.

pramirez5169 · Accepted Answer

For this case we have the following function that models the problem is:
y = 10 + 95x-16x ^ 2

The time for which the maximum height occurs is obtained by deriving the equation:
y '= 95-32x

We equal zero and clear x:
95-32x = 0

32x = 95

x = 95/32

x = 2.97

The maximum height is obtained by evaluating the time obtained in the given equation:
y = 10 + 95 * (2.97) -16 * (2.97) ^ 2
y = 151.02

Then, by the time it reaches the ground we have:
10 + 95x-16x ^ 2 = 0

From here, we clear x solving the quadratic equation:
$x = \frac{-95+/- \sqrt{95^2-4(-16)(10)} }{2(-16)}$
We discard the negative root, and obtain as a result:
x = 6.04

2.The pumpkin's maximum height is 151.02 feet and it hits the ground after 6.04 seconds

A computer store bought a program at a cost of $20 and sold it at a selling price

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