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gayaneshka [121]
2 years ago
15

You are a contractor and charge $65 for a site visit plus an additional $15 per hour for each hour you spend working at the site

. Write and solve an equation to determine how many total hours you have to work to earn $950 working at two separate work sites
Mathematics
1 answer:
Katena32 [7]2 years ago
6 0

Answer:

h = 59 hours

Step-by-step explanation:

Total earnings = fixed charge + variable charge

Fixed charge = $65

Variable charge = $15h

Where, h = number of hours

Total earnings = $950

Total earnings = fixed charge + variable charge

950 = 65 + 15h

Subtract 65 from both sides

950 - 65 = 65 + 15h - 65

885 = 15h

Divide both sides by 15

h = 885 / 15

= 59

h = 59 hours

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In the question we are given;

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We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

A=P(1+\frac{r}{100})^n

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Therefore;

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introducing logarithms on both sides;

log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61

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Therefore, it will take 5 years for the invested amount to accrue to $6163.59

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