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pashok25 [27]
4 years ago
15

Svetlana's hair is 4 cm long her hair grows 1.5 sm per month svetlana wants her hair to grow so that it is at least 7 cm long Wr

ite an inequality to determine the number of months m it will take svetlana hair to grow so it is at least 7 centimeters long
Mathematics
1 answer:
Radda [10]4 years ago
5 0
Y=4+1.5x

7=4+1.5x

3=1.5x

2=x
It will take at least two months for her hair to be 7 cm
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Darlene has a balance of $3980 on a credit card with an APR of 22.8%. Paying off her balance in which of these lengths of time w
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Answer:

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Interest=P\cdot (1+\frac{r}{n\times 100})^{n\times time}\\\\\textbf{time = t = 8 months = }\frac{8}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{8}{12}}\\\\Interest=3980\times 1.228^{\frac{8}{12}}\\\\\implies Interest=\$\thinspace 4564.03\\\\\textbf{time = t = 6 months = }\frac{6}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{6}{12}}\\\\Interest=3980\times 1.228^{\frac{6}{12}}\\\\\implies Interest=\$\thinspace 4410.44

\textbf{time = t = 9 months = }\frac{9}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{9}{12}}\\\\Interest=3980\times 1.228^{\frac{9}{12}}\\\\\implies Interest=\$\thinspace 4642.82\\\\\textbf{time = t = 5 months = }\frac{5}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{5}{12}}\\\\Interest=3980\times 1.228^{\frac{5}{12}}\\\\\implies Interest=\$\thinspace 4335.60

Hence, the least amount of interest is paid in time length of 5 months

So, Correct Option is D. 5 months


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