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lara [203]
3 years ago
12

You plan to set up an endowment at your alma mater that will fund $209,000 of scholarships each year indefinitely. If the princi

pal (the amount you donate) can be invested at 5.0 percent, compounded annually, how much do you need to donate to the university today, so that the first scholarships can be awarded beginning one year from now
Mathematics
1 answer:
Leto [7]3 years ago
6 0

Answer:

$199,047.62

Step-by-step explanation:

PV = X(1+i)^nm

X=$209000

i=5% = 0.05

n=1

m=1

Pv=$209000(1+0.05)^-1x1

Pv=$209000(1.05)^-1

Pv=$209000(1/1.05)

Pv=$209000/1.05

Pv=$199,047.62

$199,047.62 is needed to be donated for investment at 5.0% compounded annually rate for a year so as to get $209,000 at end of the year for the purpose of funding the scholarship.

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I'll give brainliest if correct
kvv77 [185]

Answer:

Go down to -4 and make a 1/1 graph

Step-by-step explanation:

3 0
3 years ago
If f(x) = 3x + 2 and g(x) = x2<br> x, find each value.<br> 18. f(2)=
Pavel [41]
F(2) = 8
if x = 2 then you plug in 2 for x making the equation 3(2) + 2 which equals 8
7 0
3 years ago
PLEASE HELP WHEN YOU SEE THIS
Dennis_Churaev [7]

Answer:

<em>~ m∠1 = 35 degrees ( ° ) ~</em>

Step-by-step explanation:

1. This pair of intersecting lines form four pairs of supplementary angles, which may be one approach to this problem.

2. This first pair includes the 145 degree angle, which we may assign as 4, and angle 1, the second being 2 and 1, 2 and 3, and 3 and 145 degrees.

3. If we were to consider the first pair of supplementary angles, it would be that 145 + m∠ 1 = 180, or ⇒ <em>m∠1 = 180 - 145 = 35 degrees ( ° )</em>

4. To confirm that this is the right answer, let us prove that with this measure of ∠1 the intersecting lines = 360 degrees, as after all they form a circle.

5. By Vertical Angles Theorem: m∠2 = m∠4, and m∠3 = m∠1

6. It is provided that m∠4 = 145 degrees ( ° ) and m∠1 = 35 degrees ( ° ). Given such let us substitute these values into Step #5, as such      ⇒     m∠2 = 145°, and m∠3 = 35°

7. The sum of the angles are known to 360 degrees, as provided previously, such that m∠1 + m∠2 + m∠3 + m∠4 = 360°, ⇒ 35 + 145 + 35 + 145 = 360, ⇒ <em>360 = 360</em>

8. <em>This proves that the m∠1 = 35 degrees ( ° )</em>

8 0
3 years ago
A rope from the top of a mast on a sailboat is attached to a point 6 feet from the base of the mast. If the rope is 24 feet long
Zanzabum

Answer: It is about 23 feet.


Step-by-step explanation:

1. Let's call <em>x</em> the height of the mast.

2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.

3. To calculate <em>x</em>, you must apply the Pythagorean Theorem as you can see below:

x=\sqrt{(24ft)^{2}-(6ft)^{2}}\\x=\sqrt{540ft^{2}}

x≈ 23ft

3 0
3 years ago
nora is planning a birthday party for her little sister, colleen. she needs to purchase 12 cupcakes she can not spend more than
Lapatulllka [165]

Answer:

if she cannot spend more than $40, she will spend .3 on each cupcake

Step-by-step explanation:

when you divide 12 by 40, you get .3 and to check if it is true, you can multiply .3 x 40 and you will get 12 hope you get it right, and have a good day :)

6 0
2 years ago
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