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3 years ago

jane bought a blouse at sh:1150 after a discount of sh:250.what was the marked price of the blouse??

Mathematics

1 answer:

andrezito [222]3 years ago

5 0

Answer:

1400

Step-by-step explanation:

since it was a discount you add the new price to the discount and get the markerd price

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Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function.

Lunna [17]

Answer:

The first three nonzero terms in the Maclaurin series is

$\mathbf{ 5e^{-x^2} cos (4x) }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }$

Step-by-step explanation:

GIven that:

$f(x) = 5e^{-x^2} cos (4x)$

The Maclaurin series of cos x can be expressed as :

$\mathtt{cos \ x = \sum \limits ^{\infty}_{n =0} (-1)^n \dfrac{x^{2n}}{2!} = 1 - \dfrac{x^2}{2!}+\dfrac{x^4}{4!}-\dfrac{x^6}{6!}+... \ \ \ (1)}$

$\mathtt{e^{-2^x} = \sum \limits^{\infty}_{n=0} \ \dfrac{(-x^2)^n}{n!} = \sum \limits ^{\infty}_{n=0} (-1)^n \ \dfrac{x^{2n} }{x!} = 1 -x^2+ \dfrac{x^4}{2!} -\dfrac{x^6}{3!}+... \ \ \ (2)}$

From equation(1), substituting x with (4x), Then:

$\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}- \dfrac{(4x)^6}{6!}+...}$

The first three terms of cos (4x) is:

$\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}-...}$

$\mathtt{cos (4x) = 1 - \dfrac{16x^2}{2}+ \dfrac{256x^4}{24}-...}$

$\mathtt{cos (4x) = 1 - 8x^2+ \dfrac{32x^4}{3}-... \ \ \ (3)}$

Multiplying equation (2) with (3); we have :

$\mathtt{ e^{-x^2} cos (4x) = ( 1- x^2 + \dfrac{x^4}{2!} ) \times ( 1 - 8x^2 + \dfrac{32 \ x^4}{3} ) }$

$\mathtt{ e^{-x^2} cos (4x) = ( 1+ (-8-1)x^2 + (\dfrac{32}{3} + \dfrac{1}{2}+8)x^4 + ...) }$

$\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + (\dfrac{64+3+48}{6})x^4+ ...) }$

$\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }$

Finally , multiplying 5 with $\mathtt{ e^{-x^2} cos (4x) }$ ; we have:

The first three nonzero terms in the Maclaurin series is

$\mathbf{ 5e^{-x^2} cos (4x) }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }$

7 0

3 years ago

Susan wants to buy new carpet for her living room floor the floor is the shape of a rectangle the length is 19 feet and the widt

aleksandr82 [10.1K]

Total square feet = length x width:

19 x 12 = 228 square feet.

Total cost = total square feet x price per square feet:

Total cost = 228 x 8 = $1,824

7 0

3 years ago

Four times a number is equal to the number increased by 15

valkas [14]

4x = x + 15

Hope this helps you! Hope your thanksgiving goes well, here's a turkey!

4 0

3 years ago

Create a system of equations for this situation. A store sells bracelets for $10 and rings for $15. On Monday they sold 30 items

Contact [7]

Answer:

10x + 15y = 450

Step-by-step explanation:

A store sells bracelets for $10 and rings for $15.

Sold 30 items.

They counted the money they made $450.

x = bracelets

y = rings

10x + 15y = 450

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2 years ago

What is the diameter of a hemisphere with a volume of 863 in3 to the nearest tenth<br> of an inch?

jarptica [38.1K]

Answer:

Step-by-step explanation:

somehow i got 146.729521 inches...

6 0

3 years ago

Read 2 more answers

jane bought a blouse at sh:1150 after a discount of sh:250.what was the marked price of the blouse??​

jane bought a blouse at sh:1150 after a discount of sh:250.what was the marked price of the blouse??