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# a \$100 suit is on sale for 30% 0ff. You present a coupon for an additonal 20% off .

Use decay factors to determine the price of the suit.

### 4 Answers by Expert Tutors

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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( 1 - 0.30 ) 100 =\$ 70  sales price

( 1- 0.20 ) \$70 = 0.80 ( \$70) = 56

30% sells for %70 of the original price , and 20% coupon will sell for 80% of discounted price.

So :

\$100 * 0.70 * 0.80 = \$ 56  / one line solution.
Deep S. | Do you need help in Chemistry and MathDo you need help in Chemistry and Math
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Oliva,
We can solve also like this

100(.30)= 30
100-30= 70

Now again 20% on \$70

70(.20)=14
70-14=56
Alexandra Karla P. | Patient and Knowledgeable - Perfect Math ScorerPatient and Knowledgeable - Perfect Math...
5.0 5.0 (46 lesson ratings) (46)
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The decay factors are (1-30/100) and (1-20/100), where 30/100 and 20/100 stands for the actual percentages that are taken off of the initial price.

Therefore, the final price will be \$100*(1-.30)*(1-.20)=\$56 dollars.

Multiplying by (1-.20) after we've already calculated \$100*(1-.30) assures that the coupon will be applied on the already reduced price.
Jim S. | Physics (and math) are fun, reallyPhysics (and math) are fun, really
4.7 4.7 (184 lesson ratings) (184)
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Olivia,

the price of the suit = \$100(1-.3)*(1-.2) = \$100*.7*.8=\$56.00. Notice that the total % (56)is a little larger than the sum of the percents off (30+20=50).

Jim