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3 years ago

7

Dan earns £224 over the course of a five-day week. How much is that per day?

1 answer:

alina1380 [7]3 years ago

4 0

224/5= 44.8

He enrns 44.8 per day

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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

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3 years ago

liberstina [14]

Answer:

Step-by-step explanation:

the following equation to show the height of the plant f(n), in cm, after n days:

f(n) = 8(1.05)^n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm. What is a reasonable domain to l

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3 years ago

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Marcel made an error when he used the distributive property to solve the problem shown. Which sentence describes the error?

Phoenix [80]

The answer to this is step 2 because they multiplied when they should of subtracted the 10 and the 12.

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4 years ago

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Adam borrowed $5,600 from the bank. The bank charges 4.2% simple interest each year.

Igoryamba

Answer:

$235.2

Step-by-step explanation:

Given data

Principal= $5,600

Rate= 4.2%

Time= 1 year

The expression for the simple interest is given as

SI= PRT/100

substitute

SI= 5600*4.2*1/100

SI= 23520/100

SI=$235.2

Hence after 1 year he will pay $235.2

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3 years ago

If £21 = 500 rubles, how many £ are in 780 rubles? Give your answer to 2 dp

Aleksandr [31]

Answer:

£32.76

Step-by-step explanation:

21/500=0.042

780x0.042 = 32.76

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