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3 years ago

Last year is a winter coat cost $175 this year the price increase 15% what is the new price

Mathematics

1 answer:

butalik [34]3 years ago

4 0

Answer:

The new price of the coat is $201.25

Step-by-step explanation:

The price will be higher since this is an increase.

Percent increase = (new price - old price) / old price

Substituting what we know

.15 = (new price -175)/175

Multiplying each side by 175

.15*175 = new price by 175

26.25 = New price-175

Add 175 to each side

26.25+175 = new price-175+175

201.25 = new price

The new price of the coat is 201.25

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Oduvanchick [21]

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Step-by-step explanation:

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3 years ago

The ratio of the Areas of the bases of these cones is 9 to 4.

Lapatulllka [165]

Answer:

Step-by-step explanation:

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3 years ago

A certain star is 2.6×102 light years from the Earth. One light year is about 5.9×1012 miles. How far from the earth (in miles)

navik [9.2K]

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2 years ago

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Futhe Mathematics <img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2

Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

$\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }$

We can write the numerator as ,

$\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }$

Recall the identity ,

$\longrightarrow (a-b)(a+b)=a^2-b^2$

Using this we have ,

$\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}$

Again , as we know that ,

$\longrightarrow sin^2\phi + cos^2\phi = 1$

Therefore we can rewrite it as ,

$\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}$

Again using the first identity mentioned above ,

$\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}$

Or else we can also write it using ,

$\longrightarrow cos2\phi = cos^2\phi - sin^2\phi$

Therefore ,

$\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}$

And we are done !

$\rule{200}{4}$

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

$\longrightarrow cos(x + x )$

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$\longrightarrow cos(y + z )= cosy.cosz - siny.sinz$

So that ,

$\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)$

On simplifying,

$\longrightarrow cos(x+x) = cos^2x - sin^2x$

Hence,

$\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}$

$\rule{200}{4}$

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nasty-shy [4]

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y=2x+4

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Hope this helps.

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3 years ago

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