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loris [4]
3 years ago
14

When a number is decreased by 40% of itself the results is 54. What is the number

Mathematics
1 answer:
Orlov [11]3 years ago
5 0
Alright, this is simple. You know what the new number is, 54. You know the original number was decreased by 40%. Your looking for the original number, X. So set up an equation.
x-.4x=54
When X stands by itself, it's perceived to value 1.00
1.00-.4x=54
(1.00-.4 [40%]=.6)
.6x=54

Divide both sides by .6 to eliminate everything else.
.6x/.6=54/.6

You get 90. Your original number was indeed 90.
To check it, we can do 90/40%, or 90/.4=54

~Hope this helps!

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Dmitry [639]

Answer:

Rounding to nearest hundredths gives us r=0.06.

So r is about 6%.

Step-by-step explanation:

So we are given:

A=P(1+r)^t

where

A=2300

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A=P(1+r)^t

2300=1600(1+r)^6

Divide both sides by 1600:

\frac{2300}{1600}=(1+r)^6

Simplify:

\frac{23}{16}=(1+r)^6

Take the 6th root of both sides:

\sqrt[6]{\frac{23}{16}}=1+r

Subtract 1 on both sides:

\sqrt[6]{\frac{23}{16}}-1=r

So the exact solution is r=\sqrt[6]{\frac{23}{16}}-1

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I'm going to put my value for r into my calculator.

r=0.062350864

Rounding to nearest hundredths gives us r=0.06.

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3 years ago
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Scorpion4ik [409]

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You invest $1000 in an accound that pays 7.9% interest, compounded monthly. How much money is in the account at the end of three
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Answer:I hope the following example will help you

Step-by-step explanation:

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