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irga5000 [103]
2 years ago
6

Use the monthly payment formula to find the monthly payment for a $1,000, one year

Mathematics
1 answer:
wlad13 [49]2 years ago
6 0
<h3>Answer:  89,58 $ </h3>

Step-by-step explanation:

The formula :

\displaystyle \rm S=A\cdot \left (1+\frac{N}{100}  \right  )^{\big r}

where r is years ; N is the percentage by which we increase the price ; A is the original price

In our case :

\rm r=1 \ \ ;  \ \  A=100 \ \ ;   \  \  N=7,5\% \\\\ S=1000\cdot \bigg(  1+\dfrac{7,5}{100} \bigg)^1=1000\cdot 1,075=\boxed{1075\$}

Then the monthly salary is equal to:

\dfrac{1075}{12} \approx 89,58 \$

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3 years ago
For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?
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Answer:

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Step-by-step explanation:

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Required

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The difference quotient is calculated as:

\frac{f(x + h) - f(x)}{ h}

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f(x) = \frac{7}{2}x - 16

f(x+h) = \frac{7}{2}(x+h) - 16

f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16

The numerator of \frac{f(x + h) - f(x)}{ h} is:

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16

Collect like terms

f(x + h) - f(x) =  \frac{7}{2}x  -\frac{7}{2}x + \frac{7}{2}h- 16 + 16

f(x + h) - f(x) = \frac{7}{2}h

So, we have:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h

Rewrite as:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}

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Answer:

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