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ad-work [718]
3 years ago
9

Evaluate the limit as x goes to infinity of x^3e^-x/5

Mathematics
1 answer:
jekas [21]3 years ago
5 0

Answer: 0

Step-by-step explanation:

\frac{x^{3}e^{-x}}{5}

This could be written as

\frac{x^{3} }{5e^{-x} }

Applying L'H rule and differentiating 3 times , we have

\frac{6}{5e^{x} }

taking the limit as x goes to infinity , we have

0

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If a person lnvests $120 at 8% annual interest, find the approximate value of the investment at the end of 5 years
Pie

Answer:

$176.3193692 or $176.32 (rounded to two decimal places)

Step-by-step explanation:

It is a compound interest, which means the interest accumulates on an initial amount each period.

The formula is A=P(1+R)^n

A= the total amount P=initial amount      R=rate   n=time (years)

P=$120   Rate= 8% or 0.08 (decimal)  n=5 (years)

A=120 (1+0.08)^2

A=120 (1.469328077)

A= 176.3193692

6 0
2 years ago
Help me solve this please it’s for my homework due tonight!!
natulia [17]

Answer:

h = 8

Step-by-step explanation:

Area of rectangle: base * height

So, by substituting the values given, we can write this equation:

Note: 1/4 = 0.25, so 3 1/4 = 3.25

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3 0
2 years ago
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tresset_1 [31]

Answer:

Step-by-step explanation:

Angles 1, 2, and 3 are supplementary (they add up to equal 180). If angles 1 and 3 are 20 each, then their sum in 40, making angle 2

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3 years ago
Kerri and James practiced for the school track meet. Kerri completed 8 laps in 16 minutes. If James ran at the same rate, how ma
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Answer:

it took him 10 mintues to run 5 laps

Step-by-step explanation:

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