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3 years ago

A 23% increase followed by a 17% decrease is what percent change?

2 answers:

7 0

A 2.09% increase.

This is just some simple multiplication. A 23% increase is the same as multiplying by 1.23, and a 17% decrease is like multiplying by 0.83, since 100-17=83. Just multiply 1.23*0.83, which equals 1.0209, or a 2.09% increase.

Inessa05 [86]3 years ago

4 0

Answer: 2.09% increase

<u>Step-by-step explanation:</u>

Let x = the original amount. then

23% increase is: x(1 + 0.23) = 1.23x

and a 17% decrease is 1.23x(1 - 0.17)

= 1.23x(0.83)

= 1.0209x

x was the original amount and 1.0209x is the new amount.

The percent change is: $\dfrac{new-original}{original}=\dfrac{1.0209x-x}{x}=\dfrac{0.0209x}{x}=0.0209$

Since the result is positive, it represents an increase.

Move the decimal two places to the right to convert the number to percent.

+0.0209 = 2.09 increase

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Answer:

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Step-by-step explanation:

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3 years ago

Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn and rode 3 miles to the local swimming pool. I

11Alexandr11 [23.1K]

Answer:

1.8 miles

Step-by-step explanation:

For this case we can model the problem as a rectangle triangle.

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$d=\sqrt{3^{2} +3^{2} }\\d = \sqrt{2(3^2)} \\d = 3\sqrt{2} \\d = 4.2 miles$

Then, the distance that he would have saved if he travels directly is:

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Answer:

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3 0

3 years ago

Read 2 more answers

suppose for everyone cup of rice I add 2 3/4 cups of water. If I add 2 1/2 cups of rice, how much cups of water do I add?

Brrunno [24]

Answer:

6 7/8

Step-by-step explanation:

Since 1 cup of rice is added to 2 3/4 water

We are to determine the Amount of water to be to 2 1/2 cups of rice

Let the unknown number for water be x

So let's solve

1 cup of rice=11/4 water

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3 years ago

Given: f(n) = 3n-5 and g(n) = 2n-1<br>Find: (fog)(5

laiz [17]

Answer:

Step-by-step explanation:

So we have the two functions:

$f(n)=3n-5\text{ and } g(n)=2n-1$

And we want to find (fog)(5). This is the same as:

$(f\circ g)(5)=f(g(5))$

So, find g(5) first:

$g(5)=2(5)-1\\$

Multiply and subtract:

$g(5)=10-1=9$

So, we can substitute:

$f(g(5))=f(9)$

Find the value:

$f(9)=3(9)-5$

Multiply and subtract:

$f(9)=27-5=22$

So:

$(f\circ g)(5)=22$

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3 years ago

Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8$ tax. How much did each person pay?

-Dominant- [34]

Dave pays $15 and tax is $1.2 so dave spent a total of $16.20.

Mel pays $20 and tax is $1.6 so Mel spent a total of $21.60.

All you need to do is convert the percent to a decimal, so take 8 and divide by 100 and you get 0.08. then you need to multiply the cost by the tax so 15*0.08=1.2 then you just add tax to original amount 15+1.2=16.2
:)

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3 years ago

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