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lozanna [386]
3 years ago
12

Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide schola

rships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?
The rate of return that the university must realize in order to award the annual scholarship forever is _____%.
Mathematics
1 answer:
elixir [45]3 years ago
5 0

Answer:

5.73%

Step-by-step explanation:

Calculation for the rate of return that the university must realize

Using this formula

Rate of return = Initial payment/(Plan to donate- Initial payment)

Let plug in the formula

Rate of return=$13,000/($240,000-$13,000)

Rate of return=$13,000/$227,000

Rate of return=0.0573*100

Rate of return =5.73%

Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.

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Work out 7/10 + 8/15 is. Give your answer as a mixed number in its simplest form.
san4es73 [151]

Answer:

1\frac{7}{30}

Step-by-step explanation:

\frac{7}{10}+\frac{8}{15}\\ \\ \frac{21}{30}+\frac{16}{30}\\\\\frac{37}{30}\\\\1\frac{7}{30}

6 0
3 years ago
Read 2 more answers
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.
PolarNik [594]

Answer:

JL ≈ 32  

Step-by-step explanation:

The triangle JKL  has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.

Let us find side the angle J first from the  triangle JKM. Angle JMN is 90°(angle on a straight line).

using the cosine ratio

cos J = adjacent/hypotenuse

cos J = 18/24

cos J = 0.75

J = cos⁻¹ 0.75

J = 41.4096221093

J ≈ 41.41°

Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore,  180 - 41.41 - 90 = 48.59

Angle L = 48.59 °.

Using sine ratio

sin 48.59 ° = opposite/hypotenuse

sin 48.59 ° = 24/JL

cross multiply

JL sin 48.59 ° = 24

divide both sides by sin 48.59 °

JL = 24/sin 48.59 °

JL = 24/0.74999563751

JL = 32.0001861339

JL ≈ 32  

8 0
3 years ago
Simplify (3x2 − 2) (5x2 5x − 1).
Evgen [1.6K]
If you would like to simplify (3x^2 - 2) * (5x^2 + 5x - 1), you can calculate this using the following steps:

(3x^2 - 2) * (5x^2 + 5x - 1) = 3x^2 * 5x^2 + 3x^2 * 5x - 3x^2 * 1 - 2 * 5x^2 - 2 * 5x + 2 * 1 = 15x^4 + 15x^3 - 3x^2 - 10x^2 - 10x + 2 = 15x^4 + 15x^3 - 13x^2<span> - 10x + 2
</span>
The correct result would be 15x^4 + 15x^3 - 13x^2<span> - 10x + 2.</span>
5 0
3 years ago
What are the next 3 terms in this sequence of terms? 3, 7, 11, 15
Xelga [282]

Answer:

it will be 19, 23, 27

Step-by-step explanation:

all you have to do is check the pattern the sequence uses to progress. in this sequence it increases by adding 4 to a previous number.

so;

3 + 4= 7

7 + 4= 11

11 + 4= 15... and so on

i hope this helps

6 0
3 years ago
What is the value of "c" in the quadratic equation 3x 2 + 5x + 7 = 0?<br><br> 3<br> 5<br> 7
dmitriy555 [2]

Answer:

c=7

Step-by-step explanation:

They are just asking you to compare

ax^2+bx+c=0 to

3x^2+5x+7=0.

What constant values are in the place of a,b, \text{ and } c.

a=3

b=5

c=7

7 0
4 years ago
Read 2 more answers
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