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Andre45 [30]
3 years ago
12

Can someone help please

Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

31

Step-by-step explanation:

31 x 2 = 62

62 + 13 = 75

n = 31

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After a 75% reduction, you purchase a new clothes dryer for $200. What was the original price of the clothes dryer?
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Answer:

$800

Step-by-step explanation:

Let the original price be $x.

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25%x= 200

\frac{25}{100} x = 200 \\ x = 200 \div  \frac{25}{100}  \\ x = 200 \times  \frac{100}{25}  \\ x = 800

Thus, the original price of the clothes dryer is $800.

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Step-by-step explanation:

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Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1
defon
I'm guessing the series is supposed to be

\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}

By the ratio test, the series converges if the following limit is less than 1.

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|

The first n terms in the numerator's denominator cancel with the denominator's denominator:

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|

|x^n| also cancels out and the remaining factor of |x| can be pulled out of the limit (as it doesn't depend on n).

\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0

which means the series converges everywhere (independently of x), and so the radius of convergence is infinite.
3 0
3 years ago
Please help!!<br> Will mark brainliest
qaws [65]

Answer:

2/3x+5=y

Step-by-step explanation:

We already know that this has to be linear and that its y-intercept is 5 ((0,5) is a point on the table). That means that the equation is

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Now all we need to do is plug in some points.

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(Subtract 5 from both sides)

3m=2

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3 0
2 years ago
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