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2 years ago

What is 1% of 62 like i dont understand this

Mathematics

2 answers:

svlad2 [7]2 years ago

8 0

1% of 62 would be 0.62

kow [346]2 years ago

8 0

Answer:

0.62

Step-by-step explanation:

1. We assume, that the number 62 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 62 is 100%, so we can write it down as 62=100%.

4. We know, that x is 1% of the output value, so we can write it down as x=1%.

5. Now we have two simple equations:

1) 62=100%

2) x=1%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

62/x=100%/1%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1% of 62

62/x=100/1

(62/x)*x=(100/1)*x - we multiply both sides of the equation by x

62=100*x - we divide both sides of the equation by (100) to get x

62/100=x

0.62=x

x=0.62

now we have:

1% of 62=0.62

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<u>Optimizing With Derivatives </u>

The procedure to optimize a function (find its maximum or minimum) consists in :

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We know a cylinder has a volume of 4 $ft^3$ . The volume of a cylinder is given by

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$\displaystyle \pi r^2h=4$

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$\displaystyle h=\frac{4}{\pi r^2}$

A cylinder with an open-top has only one circle as the shape of the lid and has a lateral area computed as a rectangle of height h and base equal to the length of a circle. Thus, the total area of the material to make the cylinder is

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$\displaystyle A=\pi r^2+2\pi r \left (\frac{4}{\pi r^2}\right )$

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$\displaystyle A=\pi r^2+\frac{8}{r}$

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$\displaystyle 2\pi r=\frac{8}{r^2}$

Solving for r

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$\displaystyle h=\frac{4}{\pi \ r^2}\approx 1.084\ feet$

We can see the height and the radius are of the same size. We check if the critical point is a maximum or a minimum by computing the second derivative

$\displaystyle A''=2\pi+\frac{16}{r^3}$