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Recently a bookstore announced that all their books would increase in price by 5%. How much will a book cost if it’s original price was $21.50. Round to the nearest cent.

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An increase in price by 5% means the books will now be sold at 105% the original price. Therefore, if originally a book cost $21.50, its price now will be


(105)/(100)*21.50
=22.575.

Rounded to the nearest cent, this is $22.58.

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