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3 years ago

HELP What is the volume of the cylinder below ?

Mathematics

1 answer:

blagie [28]3 years ago

7 0

Answer:

C. 2448π units³

Step-by-step explanation:

V = π·r²·h

= π·12²×17

= 144×17·π

= 2448π units³

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A baseball card bought for $75 increases in value by 3% per year. what is the value of the card after 15 years

sammy [17]

If the value of the baseball card increases by 3% per year then we can say that each year the value of the card may be multiplied by 103% = 1.03, thus:

Value after n years = original price*(1.03)^n
Value after 15 years = 75*(1.03)^15
= $116.85

8 0

3 years ago

Standard deviation measures _____ risk while beta measures _____ risk.

Stolb23 [73]

Answer:

Standard deviation measures Total risk while beta measures Systematic risk.

Step-by-step explanation:

The total risk is the total variability of the portfolio and includes the systematic risk and the unique risk.

The systematic risk is measured by the beta coefficient and it considers the no diversified risk such as changes in the global market. Unique risks are the ones that result from factors specifically related to the company.

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3 years ago

A ladder that is 13 meters long is leaning against a wall. The distance between the foot of the ladder and the wall is 7 meters

Maksim231197 [3]

<h2>Answer:</h2>

The equation that is used to model the length of ladder in terms of x is:

$x^2-7x-60=0$

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.

where x is the distance between the top of the ladder and the ground.

and (x-7) is the distance between the foot of the ladder and the wall.

Hence, using Pythagorean Theorem we have:

$13^2=x^2+(x-7)^2\\\\i.e.\\\\169=x^2+x^2+49-14x\\\\i.e.\\\\169=2x^2-14x+49\\\\i.e.\\\\2x^2-14x+49-169=0\\\\i.e.\\\\2x^2-14x-120=0\\\\i.e.\\\\x^2-7x-60=0$

Hence, the answer is:

$x^2-7x-60=0$

7 0

3 years ago

Read 2 more answers

After substituting, what is the first operation performed when evaluating 5 + (9 x minus 3) divide 2 for x = 5? addition multipl

ludmilkaskok [199]

Answer:

<h2>Multiplication.</h2>

Step-by-step explanation:

The given expression is

$5+(9x-3) \div 2$

For $x=5$ , we have

$5+(9(5)-3) \div 2$

Notice that the first operation we need to do is multiplication, because that's the right order of operations when we solve these kind of expressions.

$5+(45-3) \div 2$