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2 years ago

14

In a store at the local mall, the price for sweaters was $30 each. In October, the price was raised by 20%. In December, the pri

ce was raised by 40%. What is the price of a sweater in this store now?

1 answer:

Vedmedyk [2.9K]2 years ago

3 0

Answer:

Your answer

50.4 $

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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1 year ago

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3 years ago

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(with steps please) Find the inverse Laplace transform, f(t), of the function: 16/(s-4)^3

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Answer: The required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

Step-by-step explanation: We are given to find the inverse Laplace transform, f(t), of the following function :

$F(s)=\dfrac{16}{(s-4)^3}.$

We have the following Laplace formula :

$L\{t^ne^{at}\}=\dfrac{n!}{(s-a)^{n+1}}\\\\\\\Rightarrow L^{-1}\{\dfrac{1}{(s-a)^{n+1}}\}=\dfrac{t^ne^{at}}{n!}.$

Therefore, we get

$f(t)\\\\=L^{-1}\{\dfrac{16}{(s-4)^3}\}\\\\\\=16\times\dfrac{t^{3-1e^{4t}}}{(3-1)!}\\\\\\=\dfrac{16}{2}t^2e^{4t}\\\\\\=8t^2e^{4t}.$

Thus, the required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

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3 years ago

I need help with this math

Zinaida [17]

Answer:

D

Step-by-step explanation:

∠1 + ∠2 = 180 {Supplementary angles}

6x + 15 + 3x + 3 = 180

6x + 3x + 15 + 3 = 180

Combine like terms

9x + 18 = 180

Subtract 18 from both sides

9x = 180 - 18

9x = 162

x = 162/9

x = 18

∠2 = 3x +3

= 3*18 + 3

= 54 + 3

∠2 = 57°

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