Question

If y is a positive number, which of the following is equivalent to increasing y by 40 percent and then decreasing the result by 50%?

Answer 1

\[(1.4)\times .5y\]

Answer 2

where did you get 1.4 from?

Answer 3

multiplying it by \(1.4\) increases it by \(40\%\) and \(.5\) decreases it by \(50\%\)

Answer 4

for example, if you want to increase 30 by \(40\%\) you compute \(1.4\times 30\)

Answer 5

I'm still not following :/ As a person with no prior knowledge of how to solve these mathematical problems, i don't see how you pull 1.4 out of the blue. How did you get 1.4 mathematically?

Answer 6

100% plus 40% is 140%

Answer 7

okay?

Answer 8

suppose i want to increase 30 by 40%
i would compute \(.4\times 30=12\) then add \(30+12=42\)
the computation was
\[30+.4\times 30=42\]
by the distributive property
\[30+.4\times 30=30(1+.4)=30\times 1.4\]

Answer 9

What's the final answer?

Answer 10

to increase a number by 20% multiply it by 1.2
to increase a number by 70% multiply it by .17

to decrease a number by 30% multiply it by .7
to decrease a number by 12% multiply it by .88

Answer 11

whatever \(1.4\times .5\) is

Answer 12

But that's wrong :/

Answer 13

i assure you it is right

Answer 14

I'm looking at my multiple choices and it's no where close to the answer you're telling me.

Answer 15

@satellite73 Is correct.

Answer 16

A number is originally at \(100\%\). If you decrease by \(30\%\) you get \(100\%-30\%=70\%\) or the original number.

Answer 17

Percentages are found by dividing the percentage by \(100\) and multiplying that result to the number.

Answer 18

\[
\frac {70}{100}=0.7
\]

Answer 19

the multiple choices are: Increasing y by 20% , Increasing y by 10% , decreasing y by 10% , Decreasing y by 25% , Decreasing y by 30%

Answer 20

You say 0.7 but it isn't listed in the multiple choice ! :(

Answer 21

so increasing y by 10% ?

Answer 22

\[
70\%x=y
\]

Answer 23

\(70\%=100\%-30\%\)

Answer 24

Decrease by \(30\%\)

Answer 25

guess i owe satellite a huge apology!

Answer 26

A huge apology to @Satellite73 I was being a huge brat. Thanks for trying to help me! I felt really bad. :(