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3 years ago

If a woman making $25 an hour gets a 10% raise,how much would she now make in an 8 hour work day?

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

3 0

25*0.1 is 2.5

25+2.5 =27.5

27.5 x 8 = 220

220

Leto [7]3 years ago

3 0

The answer is $220

EXPLANATION

To work this out, you would have to firstly add the 10% to $25. To do this you need to find 10% (which is $2.50) and then add it to $25, making the hourly income $27.50

We would then times this by 8 to get the final answer of $220.

Hope this helps!

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Let f be defined by the function f(x) = 1/(x^2+9)

riadik2000 [5.3K]

(a)

$\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}$

Substitute x = 3 tan(t ) and dx = 3 sec²(t ) dt :

$\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt$

$=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}$

(b) The series

$\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}$

converges by comparison to the convergent p-series,

$\displaystyle\sum_{n=3}^\infty\frac1{n^2}$

$\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}$

converges absolutely, since

$\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}$

That is, ∑ (-1)ⁿ (n ² + 9)/eⁿ converges absolutely because ∑ |(-1)ⁿ (n ² + 9)/eⁿ| = ∑ (n ² + 9)/eⁿ in turn converges by comparison to a geometric series.

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3 years ago

Consider multiplying 26.2 by 16.43 what would a mathematician say the answer is

IgorC [24]

In mathematics multiplying decimals is just like multiplying a whole number and ignoring the decimals., then just put the decimals in the answer – it is how many decimals does the two numbers combined.

First step:

Line the numbers on the right and do not a line the decimal points

26.2

× 16.43

Second Step:

Multiply the numbers starting on the right, just like multiplying a whole number and ignore the decimals.

26.2

× 16.43

786

1048

1572

+ 262

430466

Third step: add the products

26.2

× 16.43

786

1048

1572

+ 262

430.466 is the mathematician’s answer.

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3 years ago

What is the quotient of 21.06 and 9

bekas [8.4K]

Answer:

21.06÷9 = 2 and 36 left over

Step-by-step explanation:

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nata0808 [166]

Answer:

A. 1.5 cm by 2.5 cm

B. 27 cm by 45 cm

C. 9 cm by 15 cm

D. 30 cm by 50 cm

Step-by-step explanation:

The dimensions of the original painting = 12 cm by 20 cm painting

Hence, the proportion is:

12/20 = 0.6

Hence, we compare the options given in the question.

A. 1.5 cm by 2.5 cm

= 1.5/2.5 = 0.6 , option A is correct

B. 27 cm by 45 cm

27cm/45 cm = 0.6 Option B is correct

C. 9 cm by 15 cm

9cm/15cm = 0.6 , Option C is correct

D. 30 cm by 50 cm

30 cm /50 cm = 0.6 Option D is correct

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6cm/14 cm = 0.4285714286

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Therefore, Options A to D are the correct options

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3 years ago

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jek_recluse [69]

Answer:

The value of x for the given expression is 5 .

Step-by-step explanation:

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Now, arrange the equation

So, $\dfrac{x}{6}$ = $\dfrac{4}{3}$ - $\dfrac{1}{2}$

Taking L.C.M on right hand side

Or, $\dfrac{x}{6}$ = $\dfrac{8 -3}{6}$

Or, $\dfrac{x}{6}$ = $\dfrac{5}{6}$

Or, x = $\frac{5\times 6}{6}$

∴ x = 5

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3 years ago