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3 years ago

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A clothing store salesperson makes a 5% commission on sales each day. If the salesperson sells $200 worth of clothes, how much d

oes the person make
in commission?
in commission

1 answer:

vladimir2022 [97]3 years ago

7 0

Answer:

10$

Step-by-step explanation:

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How many 10s are in 105

solmaris [256]

Answer:

there are 10 tens in 105 with a remainder 5

Step-by-step explanation:

10 times 10 equals 100

6 0

3 years ago

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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 <em>x</em> = 3 tan(<em>t</em> ) and d<em>x</em> = 3 sec²(<em>t </em>) d<em>t</em> :

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

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

(b) The series

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

converges by comparison to the convergent <em>p</em>-series,

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

(c) The series

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

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 (<em>n</em> ² + 9)/<em>e</em>ⁿ converges absolutely because ∑ |(-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ| = ∑ (<em>n</em> ² + 9)/<em>e</em>ⁿ in turn converges by comparison to a geometric series.

5 0

3 years ago

How many grams are there in 4 kilograms

AveGali [126]

There are 4,000 Grams in 4 Kilograms

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2 years ago

Help me asap!!!!

qaws [65]

Answer (numbers needed in boxes, going from top to bottom):

1

-1

-3

3

Step-by-step explanation:

f(x) is another way of saying y. So, the table is asking, "when substituting these x values for the x's in the function, what does y equal?" So, to answer the question, substitute each x value into the equation and solve.

1) Start with the x value of 1. Substitute 1 for x in y = 2x - 1 and solve:

$y = 2(1)-1\\y = 2 - 1\\y = 1\\$

So, when x equals 1, y equals 1. Therefore, the first box on the top must be filled out with the number 1.

2) Do the same with the rest of the x values. Here are the steps to solve each one, going in order from the top towards the bottom:

x = 0

$y = 2(0) - 1\\y = 0 - 1\\y = -1$

x = -1

$y = 2(-1) - 1\\y = -2 -1 \\y = -3\\$

x = 2

$y = 2(2)-1\\y = 4-1\\y = 3\\$

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3 years ago

A flagpole casts a shadow of 10ft long. A girl standing nnext to the flagpole casts a shadow 2.5 ft. long.If the girl is 5 ft. t

loris [4]

Since we know that they have to e similar, it is a 20ft tall flagpole. the shadow of the girl is half of her height, so since the flag pole shadow is 10ft it is simple 10 multiplied by 2

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3 years ago

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