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disa [49]
3 years ago
14

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Annika borrowed a book

from the library and forgot to return it on time. The library charges $0.25 per day for the first four days and $0.30 per day for all of the remaining days. If Annika had to pay the library $4.00, how many days late was her book?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0

Answer:

Annika was 14 days late with her book.

Step-by-step explanation:

The first four days would cost Annika 1.0 dollar (4x0.25), then we need to divide the rest of the ammount by 0.30 to calculate for how many days she paid the 0.30 dollar fine.

4.00 - 1.00 = 3.00

3.00/0.30 = 10

Therefore, Annika was 4 +10 = 14 days late with her book.

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\frac{4}{7}+\frac{2}{5}\cdot(\frac{1}{5}+\frac{1}{10})=\frac{4}{7}+\frac{2}{5}\cdot(\frac{2}{10}+\frac{1}{10})=\frac{4}{7}+\frac{2}{5}\cdot\frac{3}{10}=\frac{4}{7}+\frac{1}{5}\cdot\frac{3}{5}\\\\=\frac{4}{7}+\frac{6}{25}=\frac{4\cdot25}{7\cdot25}+\frac{6\cdot7}{25\cdot7}=\frac{100}{175}+\frac{42}{175}=\frac{142}{175}
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