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2 years ago

an Olympic sized pool which holds 660000 gallons of water is only 63% full. how many gallons of water are in the pool

Mathematics

2 answers:

user100 [1]2 years ago

5 0

415800 gallons of water will be in the pool when it is 63% full

irinina [24]2 years ago

4 0

660,000*63%=660,000*0.63=415,800
There are currently 415,800 gallons of water in the pool.

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If an English teacher marks 220 essays in 28 hours 36 minutes, how long on average does it take to mark one essay?

Xelga [282]

First, let us break down 28 hours 36 minutes into minutes.

Number of minutes taken to grade 220 essays = (28 x 60) + 36 = 1680 + 36 = 1716 minutes

Now, we can find the average time taken to grade an essay by dividing the time taken to grade 220 essays by 220.

Average amount of time taken to grade an essay = $\frac{1716}{220}$ = 7.8 minutes, or 7 minutes and 48 seconds

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2 years ago

Find the area of the rhombus if AE = 20 m and DE = 32 m

Fudgin [204]

We have to calculate the area of the rhombus if AE = 20 m and DE = 32 m.The diagonals DB = 2 * DE and AC = 2 * AE.
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2 years ago

There is a circular fountain with a diameter of 16 feet. There is a walkway that is 3 feet wide that goes around it. What is the

Sergio039 [100]

Answer:

82.47

Step-by-step explanation:

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area of fountain and walkway:283.53(see photo 2)

area of walkway:82.47(subtract fountain area from fountain and walkway)

7 0

2 years ago

Find the set the solves <br> <img src="https://tex.z-dn.net/?f=x%20%2B%20%20%20%5Cfrac%7B2%7D%7Bx%7D%20%20%20%5Cgeq%203" id="Tex

Nady [450]

Hello,
To exist x≠0

if x>0 then
x+2/x>=3==>x²+2>=3x
==>x²-3x+2>=0
==>(x-2)(x-1)>=0 positive out of the roots
==> (x<=1 or x>=2) and x>0
==>(0<x<=1) or (x>=2)
else
x<0
x+2/x>=3==>x²+2<=3x
==>x²-3x+2<=0 negative betheen the roots
==>(1<=x<=2) and x<0 : no solution
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2 years ago

You have won the lottery and will receive 20 annual payments of $10,000 starting today. If you can invest these payments at 8.5%

xxTIMURxx [149]

Answer:

$102,677.20

Step-by-step explanation:

The present value of an annuity due is determined by the following expression:

$PV = P+P*(\frac{1-(1+r)^{-n+1}}{r})$

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.

With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

$PV = 10,000+10,000*(\frac{1-(1+0.085)^{-20+1}}{0.085})\\PV = 10,000+ 10,000*(9.26772)\\PV=\$102,677.20$

The present value of your winnings is $102,677.20.

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2 years ago