12 May, 07:38

# Mayelle earns \$18000 a year. After a raise, she earns \$19500. Find the percent change and if it's a decrease or increase

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1. 12 May, 07:47
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Ok, it's all pretty much like the "\$50 coat is on sale for \$35".

If the regular price of the coat is \$50 and now it is on sale for \$35, then it will cost you \$15 less, like this:

\$50 - \$35 = \$15

You could also say the coat was discounted by \$15, or the coat was reduced by \$15, or you'll save \$15 if you buy that coat (\$50 - \$15 = 35).

You could also put it in terms of percentages. If the discount is \$15, you can figure that \$15 is what percent of the regular price, like this:

\$15 = X% of \$50

\$15 = X% x \$50 (divide both sides by 50 to isolate X)

15/50 = X%

.30 = X% (multiply by 100 to convert to a non-decimal)

30% = X

So, you can say all of the following and they all mean the same thing:

1. the \$50 coat is on sale for \$35

2. the \$50 coat is discounted by \$15

3. the \$50 coat is reduced by \$15

4. you'll save \$15 if you buy this coat

5. the \$50 coat is on sale for 30% off

6. the \$50 coat is discounted by 30%

7. you'll save 30% if you buy this coat

8. 30% savings!

9. Save 30%!

So, how does that apply to the \$18,000 a year? Ok, if Shelby earns \$18,000 this year and then earns \$19,500 next year, then she gets an additional \$1,500 (\$19,500 - \$18,000 = \$1,500). In the coat problem, everything was discounted, on sale, going down. In this problem, everything is going up, increasing.

You know the dollar increase is \$1,500. To figure the percent increase, you need to figure out that \$1,500 is what % of \$18,000. Remember, it's not the \$19,500 that was increased; it was an increase on the \$18,000:

\$1,500 = X% of \$18,000

1,500/18,000 = X%

.083333 = X%

8.3333% = X

One more: If Shelby get a 10% increase in her salary at the end of one year, that's the same as saying that Shelby gets her salary plus she gets 10% more, like this:

\$18,000 + (10% of \$18,000) =

\$18,000 + \$1,800 =

\$19,800 end of first year

For the second year, her salary begins at \$19,800 and increases 10%, like this:

\$19,800 + (10% x \$19,800) =

\$19,800 + \$1,980 =

\$21,780 end of second year

You can do it from here.
2. 12 May, 08:02
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It has an increase of 1,500 or 8.33%.