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2 years ago

13

What is the maximum vertical distance between the line y = x + 56 and the parabola y = x2 for −7 ≤ x ≤ 8?

1 answer:

atroni [7]2 years ago

5 0

-7 and 8 are the solutions to the given equation system.
Therefore, the maximum distance between the y values of the two equations must lie exactly between their points of intersection. That is on x value:
x = (-7 + 8)/2 = 0.5
The maximum distance is:
y = 0.5 + 56 = 56.5
y = 0.5² = 0.25
56.5 - 0.25 = 56.25 units

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Formula for compounded semiannually

$Amount = P(1 + \frac{r}{2} )^{2t}$

Where P is the principle , r is the rate in decimal form and t is the time.

As given

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .

Here

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5.5% is written in the decimal form.

$= \frac{5.5}{100}$

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Put in the formula

$Amount = 2900\times (1 + \frac{0.055}{2} )^{2\times 1}$

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