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3 years ago

4. In the Department of Natural Sciences, 14 faculty members have a PhD, and 30 faculty

Mathematics

1 answer:

Dvinal [7]3 years ago

4 0

Answer:

Step-by-step explanation:

We can start by making the table below to show the given numbers (red) and to assign a variable (x) to the number we want to find: female PhDs.

By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.

The number of male non-PhDs is twice the number of male PhDs, so we have ...

2(14 -x) = 20 -x

28 -2x = 20 -x . . . . eliminate parentheses

8 = x . . . . . . . . . . . .add 2x-20

The number of female faculty with PhDs is 8.

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Annette [7]

Answer:

Step-by-step explanation:

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3 years ago

Jeremiah read 5/6 a book in 2/3 an hour. How much can he read in an hour?

kaheart [24]

Answer:he can read 1 and 3/12 or 15/12 books in an hour.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

D is not right its a negative 8 so therefore it would be minus

Ilya [14]

I really dont understant your question. but you are right that negative 8 that it would be minus. In mathematics, a negative number is a real number that is less than zero. Negative numbers represent opposites. If positive represents movement to the right, negative represents movement to the left.

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3 years ago

Consider a home mortgage of $225,000 at a fixed APR of 4.5 % for 30 years. a. Calculate the monthly payment. b. Determine the

White raven [17]

The formula for the monthly payment.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}$ , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate $=\frac{4.5\%}{12}= 0.375\% = 0.00375$

Total number of months $= (30*12)months=360 months$

Also given that, the principal amount is $225000

a. So, the monthly payment will be.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140$

Thus, the monthly payment will be approximately $1140

b. The total amount paid over the term of the loan will be: $\$ 1140*360 months = \$ 410400$

c. As the principal amount was $225000 , so the amount of interest $= (\$ 410400- \$ 225000)= \$ 185400$

So, the percentage of amount that is paid toward the principal $=\frac{225000}{410400}*100\% =54.82\%$

and the percentage of amount that is paid toward the interest $=\frac{185400}{410400}*100\%=45.18\%$

4 0

3 years ago

Write the product as a trinomial. (x + 2)(x + 4)

11111nata11111 [884]

Use: (a + b)(c + d) = ac + ad + bc + bd

$(x+2)(x+4)=(x)(x)+(x)(4)+(2)(x)+(2)(4)=x^2+4x+2x+8=x^2+6x+8$

Answer: d. x² + 6x +8

7 0

3 years ago