A donor gives $100,000 to a university, and specifies that it is to be used to give annual scholarships for the next 20 years. If the university can earn 4% interest, how much can they give in scholarships each year?

Answers

Answer 1

9514 1404 393

Answer:

  $7,358

Step-by-step explanation:

Assuming the interest is compounded annually, the amortization formula is useful here.

  A = Pr/(1 -(1+r)^-t)

A is the annual scholarship, P is the principal invested at rate r for t years.

  A = $100,000(0.04)/(1 -1.04^-20) = $7,358.18

The university could give $7,358 in scholarships each year.


Related Questions

Divide. Reduce the answer to lowest terms.
= 3
3
lo
28
51
17
17
27
23
28

Answers

I don’t get the question

if a+ -76 = 480 then what is the value of a

Answers

Answer:

A=556

Step-by-step explanation:

Hope this Helps :)

Answer:

the value of a is 556

Step-by-step explanation:

I would explain but im too lazy, sowwy

Greg’s Kitchen sells pans for $22 and pots for $9. Greg’s Kitchen also offers two coupons: 2POTSFOR1 (2 pots for the price of 1) and WELCOME25 (25% off your entire order). A customer would like to buy two pots and one pan. If the customer uses the best coupon, what will their total be?

Answers

Answer: the best coupon for this case is WELCOME25, and the cost will be $30.

Step-by-step explanation:

We know that:

Price for pans = $22

Price for pots = $9.

If the customer buys two pots and one pan, he would pay::

C = 1*$22 + 2*$9 = $40.

If the customer uses the coupon 2POTSFOR1

Then he will pay only one of the pots, and the total cost will be:

C = 1*$22 + 1*9 = $31.

If the customer uses the WELCOME25 coupon, then the cost will be a 75% of the original cost.

if 100% = $40

then:

 75% = C

Where

We can take the quotient of these equations and get:

 (C/$40) = (75%/100%)

C = (75%/100%)*$40

C = 0.75*$40 = $30

Then the best coupon for this case is WELCOME25, and the cost will be $30.

Helpppppppp!!! Points and brainlest !!!

Answers

Answer:

.33

Step-by-step explanation:

If you add the times the dice was rolled and landed on a number greater than four, you would get 108. Then, you would divide that by 330 and you get .327. Round that up and you get .33

Answer:

33? ig

Step-by-step explanation:

Which inequality is represented by this graph?
5+
(0,1)
(3,0)
A. ys-3x+1
B. y>-*x+1
C. 72-3x+1
D. y< -1x+1

Answers

I thing the answer is A or c

The inequality is represented by the given graph is y ≤ -x/3+1.

The correct option is B.

What is inequality?

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

We have,

A graph of an inequality, passing by (0, 1) and (3, 0).

A and D are eliminated since the line is solid.

C is disregarded because the line is shaded below as well.

Then, the inequality will be y ≤ -x/3+1

Hence, the inequality is represented by the given graph is y ≤ -x/3+1.

Learn more about inequality here:

brainly.com/question/30231190

#SPJ7

Can anyone help me find the value of x of this mid segment triangle?

Answers

Answer:

Step-by-step explanation:

You have the correct answer. The sides are cut in half. 16 and x are in the same ratio 2:1

16 / 8 = 2:1

Write the equation of a line that passes through the point (6,8) and is parallel to y = 2x + 1.

Answers

Answer:

y = 2x - 4

General Formulas and Concepts:

Alg I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Parallel Lines have the same slope but different y-intercepts.

Step-by-step explanation:

Step 1: Define

y = 2x + 1

Step 2: Break function

Slope m = 2

y-intercept = 1

Step 3: Set up parallel line

y = 2x + b

8 = 2(6) + b

8 = 12 + b

b = -4

y = 2x - 4

Answer:

y = 2x - 4

Step-by-step explanation:

y - y1 = m(x - x1)

y - 8 = 2(x - 6)

y - 8 = 2x - 12

 + 12       + 12

y + 4 = 2x

  - 4     - 4

y = 2x - 4  ------- formula for slope-intercept form: y = mx + b

Hope that helps!!! Please give me brainliest!!!

Find the equatios of the tangents to the curve xy=6 which are parallel to the line 2y+3x=0

Answers

y=-3x/2

because gradient =-3/2

and u must use formula (y-y1) = m(x-x1)

Look at the picture please!!

Answers

Answer:

6 and 4

Step-by-step explanation:

they equal the same angle as 1

Answer:

Step-by-step explanation:

∠2, ∠4, ∠7

can someone help me? it’s due in like 10 minutes

Answers

Answer:

B. 3x + y = 4

Step-by-step explanation:

y = -3x + 4

Check:

3x + y = 4

-3x        -3x

y = -3x + 4

Answer:

It is B

Step-by-step explanation:

This is because if you use the point (1,1) for example then both x and y are 1.

1 X 3 = 3 and 3 + 1 = 4.

Your friend decided to join a bmx course so he can race with his friends. The
courses charges $7 per race after the membership fee. Your friend has raced 28
times and paid a total of $210, including the membership fee. What is the
membership fee? How much would he pay if he races 39 times? *

Answers

Answer:

He would pay $287 if he races 39 times

Thus, the membership fee is $14.

Step-by-step explanation:

Linear Modeling

The situation described in the problem can be modeled as the equation of a line which has the form:

[tex]y=ax+b[/tex]

Where y is the cost of the course, x is the number of races, a is the cost per race, and b is the membership fee.

We know the course charges $7 per race, so a=7. Since your friend has raced x=28 times and paid y=210, we can find the value of b:

[tex]210=7(28)+b[/tex]

Operating:

[tex]210=196+b[/tex]

b=14

Thus, the membership fee is $14.

The linear model is now:

[tex]y=7x+14[/tex]

If he races x=39 times, your friend would pay:

[tex]y=7(39)+14=287[/tex]

y=287

He would pay $287 if he races 39 times

Replace the with <, >, or = to make the statement true.
5 0-3

Answers

5>0-3

Step By Step- 5 is greater than 0-3 because 0-3 would equal a negative number, and all positive numbers are greater than negative numbers

Answer:

5>0-3

Step-by-step explanation:

What is 12 times 164

Answers

Answer:

1968

Step-by-step explanation:

give me brainliest plsssss tysm

Answer:

1,968

Step-by-step explanation:

plz brainiest

What is the reason for statement 3, statement 5, statement 7?

Answers

Answer:VOA

Step-by-step explanation:

3 and 5 )vertically opposite angles

7) same as 4

Given the Explicit rule find the 25th term.

f(n)=4n+3

Answers

Answer:

103

Step-by-step explanation:

f(n) = 4n + 3

f(25) = 4(25) + 3 = 103  

Period 5 is gearing up for a class ice cream party. Meghan plans to arrange the party and understands that ice cream cones cost $1.10 and sundaes cost $2.35. On the day of the party the receipt shows a total of 172 cones and sundaes were $294.20. How many cones were sold?

Answers

Answer: 88 cones.

Step-by-step explanation:

We know that:

price of a cone = $1.10

price of a sundae = $2.35

A total of 172 cones and sundaes were sold for $294.20

Then we can define two variables:

C = number of cones sold

S = number of sundaes sold.

C + S = 172 (the total number of sundaes and cones sold is 172)

C*$1.10 + S*$2.35 = $294.20  (that is how much the won).

Then we have the system of equations:

C + S = 172

C*$1.10 + S*$2.35 = $294.20

And we want to find how many cones were sold.

To solve this, we first need to isolate the other variable, S, in one of the equations, i will isolate S in the first equation:

S = 172 - C

Now, let's replace this in the second equation:

C*$1.10 + (172 - C)*$2.35 = $294.20

Now we can solve this for C, and find the number of cones that were sold.

C*$1.10 + $404.20 - C*$2.35 = $294.20

C*($1.10 - $2.35) = $294.20 - $404.20

-C*1.25 = -110

C = 110/1.25 = 88

88 cones were sold.

Number Theory- Find all sets of the two consecutive positive integers with a sum that is at least 8 and less less than or equal to 24.

Answers

Answer:

Step-by-step explanation:

Let the smaller number = x

Let the larger number = x + 1

(4,5)

(5,6)

(6,7)

(7,8)

(8,9)

(9,10)

(10,11)

(11,12)

2x – y=8
4x – 2y = 16
Answers:
A. (4, 16)
B. (16, -2)
C. infinitely many solutions
D. no solution

Answers

Answer:

the answer is D no solution

Last question Please I really need help ASAP! I WILL GIVE BRAINLIEST!!!!!



∠AOB is a right angle.


OC bisects ∠ AOB


D is on the interior of ∠ AOC


E is on the interior of ∠ COB


∠ AOD = 23 degrees


∠ DOC is congruent to ∠ EOB


∠ BAD = ∠ EAF = ∠ FAC


Draw this picture and then using that picture identify the true statements below.




a)


m∠ DOC = 23



b)


m∠ DOC = 22



c)


m∠ AOC = 90



d)


m∠ COE= 23



e)


m∠ AOC= 45

Answers

Step-by-step explanation:

a) is true

b) is true

c) is false

d) is false

e) is true

Please help me, I will mark brainliest and tell me why u got ur answer

Answers

Answer:

G

Step-by-step explanation:

which is better buy 12 binders for $30 or 7 binders for $16.80

Answers

7 binders for 16.80

Answer:

7 binders for $16.80 is a better deal.

Step-by-step explanation:

The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of Earth from the Sun is 1.5 ⋅ 108 kilometers. About how many more kilometers is the distance of Earth from the Sun than the distance of Mercury from the Sun?

4.3 ⋅ 107 kilometers
9.2 ⋅ 107 kilometers
9.2 ⋅ 108 kilometers
5.7 ⋅ 109 kilometers

Answers

Answer:

If you take a look at, 1.5 kilometers you can see that Mercury from the Sun is 5.8, it is also asking how many more kilometers is the distance of earth, so if you look at 5.1 and D which is 5.7 you would add those last digits together and get 5.8 so therefore your answer could possibly be D) 5.7 ⋅ 109 kilometers

Step-by-step explanation:

correct me if i´m wrong

Answer: 9.2*10^7 which is B

Step-by-step explanation:

find the third side in simplest radical form.

Answers

Answer:

C=12.8

On the caculator there are two buttons you need to press. 2nd and then x2. Once you press those add in 20.

You get 4.47 ROUND THAT to 4.5

12(2)+4.5(2)=C(2)

12×12=144 4.5×4.5=20.25

144+20.25=164.25

164.25=C(2)

On the caculator press 2nd and then x2

12.81=12.8

C=12.8

Find the complement of a 33° angle.
X=

Answers

Answer:

57°

Step-by-step explanation:

Complementary angles = 90°

= 99-33 = 57°

Hope u hv a great day !!!

To increase attendance for a flower show, the organizers have chosen flower shops in the area to offer discount coupons to their customers. Half of the stores receive discount coupons for admission, while the other half of the stores receive two-for-one admission coupons. The organizers then compare the number of each type of coupon redeemed at the show.

What are the explanatory and response variables in this scenario?

The explanatory variable is the number of coupons redeemed. The response variable is the type of coupon.
The explanatory variable is each chosen flower shop. The response variable is the number of coupons redeemed.
The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.
The explanatory variable is the attendance at the flower show. The response variable is the number of attendees who used coupons.

Answers

Answer:

Because the weather was generally better this year compared to last year, the attendance may have increased.

Step-by-step explanation:

took test

Answer:

C.) The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.

Step-by-step explanation:

edge 2020


3z2 - 2z + 8
-
(10z2 +7z - 12)

Answers

Answer: 7z²-9z+20

Step-by-step explanation:

PEMDAS - Please Excuse My Dear Aunt Sally - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction


Help me get this please

Answers

Answer:

okay but i dont see anything

Step-by-step explanation:

Answer:

It is d = 0.6t haha I do I-Ready too! <3

1 111 0111 base 2
to decimal number​

Answers

Step-by-step explanation:

Answer is 247 so there up I have send photos

0.028 + 0.007
Can you pls helo

Answers

Answer:

0.035

Step-by-step explanation:

its just math........    

0.028

+

0.007

line it up like addition then add!

PLEASE MARK AS BRAINLIEST!

Answer:

0.035

Step-by-step explanation:

0.028 + 0.007 -> 7 + 8 = 15. Carry the 1 over to where the next digit is (2)

= 0.035

help me answer, please!

Answers

Answer:

Step-by-step explanation:

4). Domain: ( - ∞ , ∞ )

Range: [ - 4 , ∞ )

5). Domain: ( - ∞ , ∞ )

Range: ( - ∞ , ∞ )

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