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3 years ago

A university is composed of five schools. The enrollment in each school is given:

Mathematics

1 answer:

Lostsunrise [7]3 years ago

8 0

Answer:

34.767 enrollments/computer

Step-by-step explanation:

According to the Hamilton's method, the standard divisor, D, is determined by dividing the number of enrollments in all schools by the number of new computers available:

$D=\frac{1050+1410+1850+2540+3580}{300}\\D=34.767\ enrollments/computer$

The standard divisor for this situation should be 34.767 enrollments/computer.

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500 divides 25 is equal ?

Lelu [443]

500 divides 25 is equal 20

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3 years ago

Harry church borrowed 17,500.00 at 6.5% exact interest. He had to pay back a maturity value of 17,873.97 to pay off the loan. Wh

kirill [66]

Answer:the term of the loan is approximately 4 months

Step-by-step explanation:

The term of the loan means the period for which the loan was given.

We would apply the formula for simple interest which is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

P = 17500

R = 6.5%

I = total amount paid - principal

I = 17,873.97 - 17,500.00 = 373.97

Therefore

373.97 = (17500 × 6.5 × T)/100

373.97 = 1137.5T

T = 373.97/1137.5

T = 0.32 years

Converting to months, it becomes

0.32 × 12 = 3.84

Approximately 4 months.

3 0

3 years ago

Simplify the expression by using a double-angle formula or a half-angle formula. (a) 2 tan(5°) 1 − tan2(5°)

antoniya [11.8K]

The question is related to trigonometry and we have to use the formula of double angle .

Here we use double angle formula of tangent function which is

$tan(2x) = \frac{2tan(x)}{1-tan^2(x)}$

Given expression is

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)}$

Comparing it with double angle formula, we will get x = 5

SO the required expression is equal to

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)} =tan(2*5 )$

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)} =tan(10 )$

So the answer is tan(10) .

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3 years ago

How do I get from: <br>Sin x = -1/2<br>To: x = 7Pi/6, 11Pi/6

brilliants [131]

A few ways. you can enter it into a calculator for one, but the easiest way would be to reference a unit circle and look for an ordered pair where sin (the y value), is equal to -1/2

on a unit circle, the sin value is -1/2 at 7pi/6 and 11pi/6

because sin is the y value, it will additionally be in the quadrants III or IV based on the fact that (-1/2) as a sin value IS a negative and would have to be found in a quadrant in which sin is negative (the lower half of a coordinate plane, in this case)

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3 years ago

Find the roots.<br>x^2-8x+7=0

AfilCa [17]

Answer is : X1=1,x2=7

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3 years ago