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3 years ago

HELP I NEED HELP ASAP

Mathematics

1 answer:

icang [17]3 years ago

3 0

Answer:

$20,000 = sales

Step-by-step explanation:

Giving the following information:

Fixed salary= $300

Commission rate= 1% of sales

First, we need to establish the net income formula:

Net income= 300 + 0.01*sales

Now, the sales required for $500 net income:

500= 300 + 0.01sales

200/0.01 = sales

20,000 = sales

Prove:

Net income= 300 + 0.01*20,000

Net income= $500

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Answer:

The corresponding definite integral may be written as

$\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x$

The answer of the above definite integral is

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Step-by-step explanation:

The given limit interval is

$\lim_{||\Delta|| \to 0} \sum\limits_{i=1}^n (4c_i + 11) \Delta x_i$

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The corresponding definite integral may be written as

$\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x$

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Bonus:

The definite integral may be solved as

$\int_{-8}^6 \mathrm{(4x + 11)}\,\mathrm{d}x \\\\\frac{4x^2}{2} + 11x \left \|{b=6} \atop {a=-8}} \right. \\\\2x^2 + 11x \left \|{b=6} \atop {a=-8}} \right. \\\\ 2(6^2 -(-8)^2 ) + 11(6 - (-8) \\\\2(36 - 64 ) + 11(6 + 8) \\\\2(-28 ) + 11(14) \\\\-56 +154 \\\\98$

Therefore, the answer to the integral is

$\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x = 98$

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