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Travka [436]
3 years ago
7

A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dim

ensions of the carpet by solving the equation 2w+2(w+90)=244​, where w represents the carpet width.
Mathematics
1 answer:
gladu [14]3 years ago
3 0

Answer:

32

Step-by-step explanation:

2w+2w+180=244

4w+180=244

244-180=2w

64/2=w

32

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You invest $2,500 in an account that grows 5% each year. what will be your investment amount after 6 years?
lesantik [10]

Answer:  b. $3,374.65

Step-by-step explanation:

The exponential equation of growth (continuously) is given by :-

y=Ae^{rx}, where A is the initial amount, r is the rate of growth ( in decimal) and x is the time period.

Given : You invest $2,500 in an account that grows 5% each year.

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Then, the equation model this situation will be :-

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y=2500e^{0.05\times6}\\\\\Rightarrow\ y=2500e^{0.3}=3374.64701894\approx3374.65

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Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the p
KIM [24]

Answer:

<em>1885.5 m^3 of water</em>

<em></em>

Step-by-step explanation:

I'll assume this is the complete question

<em>Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14 </em>

<u><em>The pool forms</em></u><em> a cylinder with a radius of 12 feet and a height of 4.5 feet.</em>

<em></em>

height of pool = 4.5 ft

radius of pool12^{2} = 12 ft

height of water is 4 inches below pool top

<em>12 inches make 1 ft</em>

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<em>volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed</em>

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volume = 3.14  x 12^{2} x 4.17 = <em>1885.5 m^3 of water</em>

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