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2 years ago

5

Alexandra wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. How

much will Option 2 be worth after 20 years?
A.

$6727.50

B.

$3000.00

C.

$7400.25

D.

$5604.41

1 answer:

iren2701 [21]2 years ago

8 0

d

$5604.41 will be worth after 20 years I think

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Vladimir79 [104]

Answer:

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Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

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$L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in$

substitute

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Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

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the width is negative (W=2-2x)

so

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

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2 years ago

X<br> For f(x)=0.01(2) , find the average rate of change from x=3 to x=8.

NikAS [45]

Answer:

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Step-by-step explanation:

we know that

f(x)=0.01(2^{x})

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where

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f(a)=f(3)=0.01(2^{3})=0.08

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Substitute

\frac{2.56-0.08}{8-3}

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Help please !!!!!!!!

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3 years ago

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5 consecutive integers : x, x + 1, x + 2, x + 3, x + 4

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