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Dafna1 [17]
3 years ago
6

The price of a car was decreased by 10% to £729. What was the price before the decrease?

Mathematics
2 answers:
kolezko [41]3 years ago
4 0

Answer:

810

Step-by-step explanation:

90/100=729/x

100×729= 90x

72900=90x

810 = x

Korvikt [17]3 years ago
4 0

Answer:

£810

Step-by-step explanation:

100% - 10% = 90%

£729 is 90 % after the price was decreased by 10%. Therefore, Divide £729 by 90% to get the original price.

£729/90% = £810

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It took Sergio 1.5 hours to read 3 chapters of a book. If he continues reading at a constant rate and the chapters are similar i
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For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

3 0
4 years ago
I'm going to have a test later and i need help (p.s it show random ads just letting you know)
Sophie [7]

Answer:C

Step-by-step explanation:

8 0
3 years ago
Please help last question:((
jasenka [17]

Answer:

7. C(N(h))=33hx+460h

8. about $13.94 is the cost

Step-by-step explanation:

7. C(x)=(33x+460)(N(h))=(N(40)h)--C(x)=(33x+460)(40h)--C(x)=1320hx+18400h--simplified to C(N(h))=33hx+460h

8. C(N(10))=33(10)x+460(10)--C(N(10))=330x+4600--4600/330=about13.94

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3 years ago
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