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2 years ago

13

There are 1,600 students at a university. 24% of students are sophomores, 20% are juniors, and 28% are seniors. How many student

s at the university are freshmen?

1 answer:

tatuchka [14]2 years ago

8 0

Answer:

448 freshman.

Step-by-step explanation:

How many students at the university are freshmen?

= (1 - (.24 + .2 + .28)) * 1600 = .28 * 1600 = 448 freshman.

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A cylindrical oil drum has a diameter of 2 feet and a height of 3 feet what is the volume of the oil drum?

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We know, Volume of a Cylinder = πr²h

Here, r = 2/2 = 1 ft
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In short, Your Answer would be: 9.42 Ft³

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2 years ago

A man invests a certain amount of money at 2% interest and $800 more than that amount in another account at 4% interest. At the

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3 years ago

Read 2 more answers

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago