How many ways can you arrange the letters PASTEL?

A large university accepts 60% of the students who apply. Of the students the university accepts, 25% actually enroll. If 10,000

Alja [10]

Answer:

1500 students

Step-by-step explanation:

To do this you must figure how many people the university accepts by times the no. of students applying by the percentage that are accepted

10,000 X 60% = 6000 students

You then figure out the number of students that actually enrols by doing

no. of students accepted X 25%

6000 X 25% = 1500 students

6 0

3 years ago

The sum of Eric’s and Bob’s weights is 9 times the difference of their weights. The positive difference of their weights is also

anyanavicka [17]

Answer:

B - E = B + E = -240

Step-by-step explanation:

3 0

3 years ago

Choose the fraction that has not been reduced to simplest form.

Gennadij [26K]

We are required to choose the fraction that has not been reduced to simplest form

The fraction that has not been reduced to simplest form is 19/38 and 10/18

1. 21 / 34 is in its simplest form

factors of 21 = 1, 7 and 21

factors of 34 = 1, 2, 17 and 34

No common factor of 21 and 34 except 1

2. 15/16

factors of 15 = 1, 3, 5, 15

Factors of 16 = 1, 2, 4, 8 and 16

No common factor of 15 and 16 except 1

3. 19/38

factors of 19 = 1, 19

factors of 38 = 1, 2, 19 and 38

divide both numerator and denominator by 19

So,

19 / 38 = 1/2

4. 10/18

factors of 10 = 1, 2, 5 and 10

factors of 18 = 1, 2, 3, 6, 9 and 18

So,

10/18

divide both numerator and denominator by 2

= 5/9

Read more:

brainly.com/question/18069

7 0

3 years ago

Steve has $25,000 to invest and wishes to earn an overall annual rate of return of 8%. His financial advisor recommends that h

Alexeev081 [22]

Answer:

<em>Steve should place $6,250 in the 5-year CD and $18,750 in the corporate bond</em>

Step-by-step explanation:

<u>System of Equations</u>

We need to find how Steve will distribute his investments between two possible options: one of them will pay 5% per annum and the other will pay 9% per annum. We know Steve has $25,000 to invest and wants to have an overall annual rate of return of 8%.

Let's call x to the amount Steve will invest in the CD paying 5% per annum and y to the amount he will invest in a corporate bond paying 9% per annum.

The total investment is $25,000 which leads to the first equation

$x+y=25,000$

If x dollars are invested at 5%, then the interest return is 0.05x. Similarly, y dollars at 9% return 0.09y. The overall return is 8% on the total investment, thus

$0.05x+0.09y=0.08(x+y)$