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kondor19780726 [428]
3 years ago
10

A salesperson gets a commission of $1400 for the first $10,000 of sales, and then $700 for each additional $10,000 or partial of

sales. let s(x) represent the commission on x dollars of sales. find the value of s(65,000)
Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

Answer:

s(65,000)= \$ 4,900

Step-by-step explanation:

s(x) represents the commission on x dollars of sales.

For the first $10,000 of sales, the commission is $1400.

For each additional $10,000, the commission is $700.

The total value is $65,000.

The first $10,000 implies a commission of $1400.

The rest is $55,000, which represents 5 times $10,000 and $5,000. The additional commission is 5 times $700, which is $3500.

Therefore, the total commission for the sale of $65,000 is $4,900.

s(65,000)= \$ 4,900

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

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

Step-by-step explanation:

Given

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

Required

The difference quotient for h

The difference quotient is calculated as:

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

Calculate f(x + h)

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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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