1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Brainly to whomever somehow solves for x. I WILL REPORT SCAMS AND UNHELPFUL "WHAT?" ANSWERS.
cestrela7 [59]

Answer:

x=\frac{33}{7}

Step-by-step explanation:

Since ED is parallel to CA, the two triangles in the figure share all 3 angles and therefore must be similar. By definition, the corresponding sides of similar polygons are in a constant proportion.

Therefore, we have:

\frac{11}{11+x}=\frac{14}{20},\\14(11+x)=20\cdot 11,\\11+x=\frac{20\cdot 11}{14},\\x=\frac{110}{7}-11=\boxed{\frac{33}{7}}

3 0
3 years ago
Angles A and B are congruent. Find the value of x. Show all work to receive credit.
kolezko [41]

Answer:

  x = 15

Step-by-step explanation:

Sides opposite congruent angles are congruent:

  x + 10 = 2x - 5

  15 = x . . . . . . . . . add 5-x

The value of x is 15.

_____

I suppose you could show the intermediate step:

  x +10 +(5 -x) = 2x -5 +(5 -x)

  15 = x . . . . . simplified

8 0
3 years ago
What is the factored form of n2 – 25? (n – 25)(n – 1) (n – 5)(n + 5) (n + 5)(n + 5) (n – 25)(n + 1)
dexar [7]
Hi there!
We are asked to find the correct factored form of n² - 25. Immediately, we can see that 25 has a perfect square root, 5. Now, we can rewrite the expression into n² - 5². Finally, using the difference of squares rule, we can derive the equation (n + 5)(n - 5). Therefore, the answer is (n + 5)(n - 5). Hope this helped!
5 0
4 years ago
Given the radius is 6 inches, what is the area of the circle?
enyata [817]

Answer:

I wasn't sure how you're supposed to answer, so the answers for each scenario are in the explanation!

Step-by-step explanation:

A=\pi r^{2}

A=\pi (6^{2})

A=\pi (36)

From here, there can be a few different answers:

The exact answer is A=36π inches^2.

If you need to round, round this to wherever you need it: A=113.0973355292326... inches^2

If you're using 3.14 for pi, the answer is A=113.04 inches^2.

8 0
3 years ago
PLEASE HELP! I would really appreciate it!
andrezito [222]
The awnser is C because there is a right angle which is 90 degrees then there is also a vertical angle of 118 degrees. There is also a supplementary angle of 70 degrees. When you add these angles you get 278 degrees which you subtract from 360 to find the last angle which is K and you get 82 degrees
6 0
3 years ago
Other questions:
  •  is the diameter of a circle with center P. The coordinates of the endpoints of the diameter are (1, 3) and (6, 6). What are th
    8·2 answers
  • In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that s
    9·1 answer
  • Which glide reflection describes the mapping ABC DEF
    9·1 answer
  • What is the GCF of 42 and 48
    14·1 answer
  • Please Help! One Question!
    8·1 answer
  • The point of ____ makes both equations true?
    11·1 answer
  • Evaluate. 2^n -1, where n =7​
    14·1 answer
  • 1
    13·1 answer
  • When you add 18 to 1/4 of a number,you get the number itself ?
    7·1 answer
  • In the pipe flange shown to the right, the ten bolt holes are equally spaced. What is the spacing of the holes, in degrees?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!