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3 years ago

Find the second derivative y=1/5x^2+1/11x

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

8 0

$\frac{dy}{dx}=\frac{1}{5}.x^{2-1}.2 + \frac{1}{11}.x^{1-1}.1$

$\frac{dy}{dx}=\frac{2}{5}.x+\frac{1}{11}$

$\frac{d^2y}{dx^2}=\frac{2}{5}.x^{1-1}.1$

$\frac{d^2y}{dx^2}=\frac{2}{5}$

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A man pays 20% of his salary as tax and has 24,000$ left. How much did he pay as tax

puteri [66]

Answer:

He paid $6,000 in taxes.

Step-by-step explanation:

His final amount after taxes is $24000. In order to obtain this number we had to tax 20% of the total (Note that 100%-20%=80%). In other words if he was taxed 20% he took home 80% of what he was paid. Therefore mathematically we have:

$0.8A_{pre-tax}=A_{taxed}$

Since we know he was left with $24000 after taxes then:

$0.8A_{pre-tax}=24000\\\\\frac{0.8A_{pre-tax}}{0.8}=\frac{24000}{0.8}\\\\A_{pre-tax}=\frac{24000}{0.8}\\\\A_{pre-tax}=30000$

So originally he had $30,000. So how much did he pay in taxes? We can calculate the difference of both pretax and after tax and we get:

$30,000 - $24,000= $6,000 taxed

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4 years ago

Which is a correct first step for solving this equation? −3x+2−5x−7=4x+2

In-s [12.5K]

Answer: x = - 7/12

Step-by-step explanation:

-3x + 2 - 5x - 7 = 4x + 2

=> -8x - 5 = 4x + 2

=> -12x = 7

=> x = - 7/12

3 0

3 years ago

Heather can type 210 words and 6 minutes what is her unit rate in words per minute

Yanka [14]

Answer:

35 words per minute

Step-by-step explanation:

210/6=35

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3 years ago

Read 2 more answers

200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students

dedylja [7]

Answer:

P(M) = 0.4

Explanation:

1. Build a two-way frequency table:

To have a complete understanding of the scenary build a two-way frequency table.

Column and rows:

Major in math No major in math Total

Major in CS

No major in CS

Total

200 students: