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Inessa [10]
3 years ago
6

Stuart bought a sweater that was on sale for 30% off the regular price. He also had an additional 25% off coupon. If the origina

l price was $30, how much did he pay for the sweater?
Mathematics
1 answer:
never [62]3 years ago
7 0

Answer:

Step-by-step explanation:

The original price of the sweater that Stuart bought was $30.

The sweater was on sale for 30% off the regular price. This means that the amount of money that was removed from the original price is

30/100 × 30 = 0.3 × 30 = 9

The price at which the sweater was offered for sale would be

30 - 9 = $21

He also had an additional 25% off coupon. The value of the coupon would be

25/100 × 21 = 0.25 × 21 = $5.25

Therefore, the amount that he paid for the sweater would be

21 - 5.25 = $15.75

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Answer:

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Step-by-step explanation:

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Now, if we compute the n-th derivative at 0 we get

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and so the Maclaurin series for f(x)=ln(1+2x) is given by

f(x)=0+2x-2^2\dfrac{x^2}{2!}+2^3\cdot 2! \dfrac{x^3}{3!}+...+(-1)^{(n-1)}(n-1)!\cdot 2^n\dfrac{x^n}{n!}+...\\\\= 0 + 2x -2^2  \dfrac{x^2}{2!}+2^3\dfrac{x^3}{3!}+...+(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}+...\\\\=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^n\dfrac{x^n}{n}

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