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Anastaziya [24]
4 years ago
7

Solve the inequality represented by this situation: Six times a number

Mathematics
1 answer:
Solnce55 [7]4 years ago
3 0

Answer:

<h2>n > -1</h2>

Step-by-step explanation:

Six times a number is greater than 2 less than 4 times the same number.​

n - the number

six times a number: 6n

is greater than: >

2 less than 4 times the same number: 4n - 2

6n > 4n - 2             <em>subtract 4n from both sides</em>

6n - 4n > 4n - 4n - 2

2n > -2         <em>divide both sides by 2</em>

2n : 2 > - 2 : 2

n > -1

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Answer:

The correct answer is D. 5 months

Step-by-step explanation:

Balance = P = $3980

Rate (r) = 22.8% ,

n is no. of times interest is calculated in one year n = 1

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


3 0
3 years ago
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