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nata0808 [166]
3 years ago
15

Andrea is saving money for a car. She makes $13 an hour shampooing dogs at the local groomer. After 18% is subtracted from her p

aycheck she puts 50% of her remaining check in her savings account. Let x represent the number of hours Andrea works. Write an expression in simplest form that represents the amount of money Andrea saves each paycheck.
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
3 0

Answer:

Saved money = 0.41x

Step-by-step explanation:

x : hours Andrea works

If the 18% is subtracted from her paycheck, she still has the 82% (100 - 18)

Then after that she has:

0.82x

Now Andrea saves 50% of the remaining check (0.82x)

Saved money = 0.5(0.82x)

Saved money = 0.41x

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On a cruise, 80% of the passengers are staying in "economy" rooms. If there are 320 passengers in "economy rooms, how many total
stealth61 [152]
I think that the answer is 550 people on the cruise. i used my math notes
5 0
3 years ago
Sam has a rectangular field whose length and breadth are in the ratio 8:7. He wants to fence the field with bamboo to make it an
USPshnik [31]

Answer:

Length = 200 m

Breadth = 175 m

Step-by-step explanation:

Perimeter of the rectangular field = Total cost ÷ rate per metre

                                                        = 12000 ÷ 16

                                                        = 750 m

Length : breadth = 8 : 7

Length = 8x

Breadth = 7x

Perimeter = 750

2*(length + breadth) = 750

2*(8x + 7x) = 750

2* 15x = 750

  30x = 750

      x = 750/30

x = 25

Length = 8x = 8*25 = 200 m

Breadth = 7*25 = 175 m

8 0
2 years ago
Still helping my lil sister <br> Answer all three
wel

Answer:

3. D

4. C

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Step-by-step explanation:

5 0
3 years ago
Part 2. Laws of sines. Please show work​. Round answer to the nearest tenth.
Bingel [31]

Answer:

5) 30.0m

6) 34.0mi

7) 11.0ft

8) 17.0 km

(all rounded off to the nearest tenth)

Step-by-step explanation:

Please see attached pictures for the full solution.

6 0
3 years ago
Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x/6x^2 +
timama [110]

Looks like your function is

f(x)=\dfrac x{6x^2+1}

Rewrite it as

f(x)=\dfrac x{1-(-6x^2)}

Recall that for |x|, we have

\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n

If we replace x with -6x^2, we get

f(x)=\displaystyle x\sum_{n=0}^\infty\frac(-6x^2)^n=\sum_{n=0}^\infty (-6)^n x^{2n+1}

By the ratio test, the series converges if

\displaystyle\lim_{n\to\infty}\left|\frac{(-6)^{n+1} x^{2(n+1)+1}}{(-6)^n x^{2n+1}}\right|=6|x^2|\lim_{n\to\infty}1=6|x|^2

Solving for x gives the interval of convergence,

|x|^2

We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.

3 0
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