A deposit of $10,000 is made in a trust fund that pays 3.8% interest, compounbed quarterly. It is specified that the balance will be given to Abudu Charity after the money has earned interest for 40years. How much will the charity receive?

Answers

Answer 1

9514 1404 393

Answer:

  $45,395.39

Step-by-step explanation:

The formula for an amount earning compound interest is ...

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years.

Using the given numbers, we have ...

  A = $10,000(1 +0.038/4)^(4·40) ≈ $45,395.39

The charity will receive $45,395.39.


Related Questions

A grocer wants to mix two kinds of coffee. One kind sells for $1.00 per pound, and the other sells for $2.55 per pound. He wants to mix a total of 28 pounds and sell it for $1.35 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)

Answers

21.68 of the dollar coffee
6.32 of the expensive coffee

SOMEONE PLSSSS HELP ME!!!!!!!!!!!!!!!!!!!!

Answers

I calculated separately

Solve the system of equations below by graphing each line on the coordinate plane provided. Then place a point where the solution of the system occurs. 3x + 2y = 8 x + 2y = 4​

Answers

Point Form:
(2,1)
Equation Form:
x=2 y=1

Joy plans to use a circular tarp to cover her circular picnic table. Which of the following statements is true?
a. Joy can use the height of the picnic table to determine the size of the tarp necessary. b. Joy can use the area to determine the size of the tarp necessary. c. Joy can use volume to determine the size of the tarp necessary. d. Joy can use the perimeter to determine the size of the tarp necessary.

Answers

Answer:

A:Joy can use the height of the picnic table to determine the size of the tarp necessary

Lindas aunt zoe charges her a nominal amount for watching her two children aunt zoe charges $2.50 per day plus $1.75 per hour one day linda paid her aunt $14.75 how many hours did aunt zoe watch the children

Answers

Answer:

7 hours

Step-by-step explanation:

the function of the earning of Zoe = 2.50 + 1.75h

2.5 = base fixed amount

1.75 varies based on the hours

h = hours

2.50 + 1.75h = 14.75

to solve for h

subtract 2.5 from both sides and then divide by 1.75

14.75 - 2.5 = 1.75h

12.25 = 1.75h

h = 7


[tex]25x |2| - 16 \: \\[/tex]

Answers

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

[tex]5x^{2} - 16 = 5^{2}x^{2} - 4^{2} \\\\= (5x)^{2}-4^{2}\\\\=(5x + 4)(5x - 4)[/tex]

PLZ HELP WILL GIVE BRAINLIST IF CORECT!!!

Answers

Answer:

w 2 x 6

Step-by-step explanation:

Estimate a 15% tip for a $26.40 restaurant bill

a) $1.50

b) $6.00

c) $8.00

d) $4.00

Answers

Answer:

$4.00

Step-by-step explanation:

because 15% of 26.40 is 3.96 which is closest to $4.00

HELP PLEASE , I NEED THIS DUE IN 10 MINUTES AND IM SO CONFUSED

Answers

Answer:

p+37 = 2p-50

87

m<I=124

Step-by-step explanation:

1/2 + 2/3 + 3/4, as a fraction

Answers

Answer:

D

Step-by-step explanation:

6/12+8/12+9/12=23/12=1 11/12

Answer:

D. 1 11/12

Step-by-step explanation:

Let's set up our common denominator first. To do this we need to find a number divisible by 2, 3, and 4.

Multiply 3 by 4 and you'll come out with 12. 12 is divisible by 2.

Now, multiply your fractions by the numbers they need to get the denominator to 12.

1/2 x 6/6 = 6/12

2/3 x 4/4 = 8/12

3/4 x 3/3 = 9/12

Add your numerators.

6 + 8 + 9 = 23.

Your fraction should look like 23/12.

Subtract 12 from 23 and you should get 11. Because 12 equals a whole, we can go ahead and put one.

1 and 11/12.

4x + 5y = -2 . what is the slope show ur work

Answers

4x + 5y = -2

-5 -5

4x = -5y - 2

4x/4 = -5y -2/ 4

x = -5/4 y + -1/2

US_
Diagram NOT
accurately draw
(x + 1)cm
(3 - x) cm
(2x + 5) cm
The diagram shows a cuboid of volume V cm3
(a) Show that V = 15 + 16x - x (squared) - 2x (cubed)

Answers

Answer:

Step-by-step explanation:

Length of the cuboid = ((2x + 5) cm

Width of the cuboid = (3 - x) cm

Height of the cuboid = (2x + 5) cm

Since, volume of the cuboid = Length × Width × Height

                                               = (2x + 5)(3 - x)(x + 1)

                                               = [2x(3 - x) + 5(3 - x)](x + 1)

                                               = (6x - 2x² + 15 - 5x)(x + 1)

                                               = (-2x² + x + 15)(x + 1)

                                               = x(-2x² + x + 15) + 1(-2x² + x + 15)

                                               = -2x³ + x² + 15x - 2x² + x + 15

                                               = -2x³ - x² + 16x + 15

                                               ≈ 15 + 16x - x² - 2x³

write an equation of the line that passes through (0 0) and (2 6)

Answers

Answer:

y = 3x

Step-by-step explanation:

Slope equation:

y2 - y1

--------

x2 - x1

----------------------------------------------------------------------------------------------------------------

         6 - 0          6

m = ----------- =   ----- = 3

         2 - 0           2

Your slope is 3.

----------------------------------------------------------------------------------------------------------------

Equation:

y = mx + b

Plug in the slope and you get:

y = 3x + b

----------------------------------------------------------------------------------------------------------------

Now to find b, you can use either coordinate point. So I will show you both ways :)

(0,0)                                                                     (2,6)

0 = 3(0) + b                                                     6 = 3(2) + b

Multiply 0 and 3                                           Multiply 2 and 3

0 = 0 + b                                                         6 = 6 + b

Subtract 0 to 0                                            Subtract 6 from 6

0 = b                                                                    0 = b

There is no y-intercept

----------------------------------------------------------------------------------------------------------------

Your answer: y = 3x

Hope this helped :)

How do you do this equation?
2(m+7)= blank m+ blank
Use properties of operations to complete the equivalent expression.

Answers

Answer:

2m + 14

Step-by-step explanation:

2(m+7)

2m + 14

Let f be differentiable such that f(-2)=3,f(3)=5, f'(-2)=4 and f'(3)=6. Let g be differentiable functions such that g(x)=f^-1 (x) for all x. What is the value of g'(3)

Answers

Answer:

[tex]g'(3)=\frac{1}{4}[/tex]

Step-by-step explanation:

There is a rule in calculus that tells us that:

[tex]g'[f(x)]=\frac{1}{f'(x)}[/tex]

In this case, we know that f(-2)=3, therefore:

g'(3)=g'(f(-2))

So, if we used the rule, we would get that:

[tex]g'[f(-2)]=\frac{1}{f'(-2)}[/tex]

we know that f'(-2)=4, so:

[tex]g'[f(-2)]=\frac{1}{4}[/tex]

or:

[tex]g'[3]=\frac{1}{4}[/tex]

PLEASE HELP WILL MARK BRAINLY

1. At the party, 65% of the children liked the chocolate cake. If 63 children did not like
chocolate cake, how many children were at the party in all?

2. While driving to Denver, the car travelled 1 mile per minute. How far would the car travel in 1 hour?

3. The team’s ratio of games won to games lost is 4 to 3. If the team played 42 games, how many did they win?

4. Cassie found that the ratio of bees to butterflies in the garden was 10 to 7. If there were 28 butterflies in the garden, how many bees were there?

5. Twenty thousand dollars in profit was made at the toy store during the holidays. This was five-ninths of the profit made by the store for the year.
a. The yearly profit made by the store was how much money?
b. How much profit was made during the rest of the year?

Answers

Answer:

1. At the party, 65% of the children liked the chocolate cake. If 63 children did not like

chocolate cake, how many children were at the party in all?

answer

answer35% 0f total children =63

answer35% 0f total children =63

total children =63×100/35=180

2. While driving to Denver, the car travelled 1 mile per minute. How far would the car travel in 1 hour?

answer

1 minute =1 mile travelled

1 hour =60minute=60mile travelled

3. The team’s ratio of games won to games lost is 4 to 3. If the team played 42 games, how many did they win?

answer

let ratio be 4x and 3x

4x+3x=42

x=42/7=6

won games =4x=4×6=24

4. Cassie found that the ratio of bees to butterflies in the garden was 10 to 7. If there were 28 butterflies in the garden, how many bees were there?

answer

let ratio be 10x and 7x

no of butterflies=7x=28

x=28/7=4

no of bees =10x=10×4=40

If the probability of a cup drink being rasberry flavour is 0.29, what is the probability of a cup drink being cola flavour?

Answers

Answer: 0.71

Step-by-step explanation:

Since we have just two flavors, the probability of a cup drink being cola flavour will be calculated below:

P(R) + P(C) = 1

0.29 + P(C) = 1

P(C) = 1 - 0.29

P(C) = 0.71

Therefore, the probability of a cup drink being cola flavour is 0.71.

Simplify the following expressions:
1. 3.46 + 0.6729 + 246.10​

Answers

Answer: 250.2329

Step-by-step explanation:

You go to the store to buy a Playstation 5 which cost 499 dollars. If you had to
pay San Jose's sales tax which is 9.25%. How would you solve the problem to find
the total cost? *

What is the total cost?*

Answers

Answer:

$545.1575

Step-by-step explanation:

Given function:

499,9.25

Solve ways:

combine 9.25% of 499 and 499

Multiply 9.25 by 0.01:

[tex]9.25%[/tex]·[tex]0.01=0.0925[/tex]

Multiply the cost by 0.0925:

[tex]499[/tex]·[tex]0.0925= 46.1575[/tex]

Combine 46.1575 by the first value:

[tex]499+ 46.1575= 545.1575[/tex]

Therefore, the PlayStation 5 will be a total cost of $545.1575.

plz help highly appreciated

Answers

Answer:

1a. y= -6x+30

1b. y= -6x-22

2a. y= 3x+2

2b. y= -1x+4

1.
[tex]16 \frac{3n}{4} \div 18 \frac{5n}{4} \times {4}^{n + 2} [/tex]
simplify

2.
[tex] {2}^{2y} = 6( {2}^{y)} - 8[/tex]
Find the value for y

3.
[tex] {2}^{2x + 1} - 15( {2}^{x}) - 8 = 0[/tex]
Solve the equation


I will mark you brainliest

Answers

Answer:

1.  (5n^2 x4^n+2)/ 6

2. y=1 y=2

Step-by-step explanation:

427 is what percent of 305

Answers

Answer:

140.00%

Step-by-step explanation:

Step 1: Percentage Formula = Number1/Number2 x 100

Step 2: plugin the 427 and 305 to the percentage formula and we get 427/305 x 100 = 140%

What is  

427

out of  

305

as a percentage? = 140.00%

Hope this helped a lot

Plz give brainliest

The cost of a ticket to the fair on Sunday is $4 per adult and $2per child. The fair made $840 that day. The ticket office knows that they sold 300 tickets. How many adult tickets did they sell?

Answers

Answer:

120 adult tickets

En un examen de matemáticas por cada respuesta correcta se suman 7 puntos, y por cada incorrecta se pierden 9, si el examen tiene 10 preguntas, y se obtuvo una calificación de 6 puntos, ¿Cuántas preguntas correctas e incorrectas se obtuvieron? *

Answers

Answer:

tuvo 6 preguntas correcta y 4 incorrectoas

Answer:

fjy jktdkhtdljrludli6fhf.

6itykcj,ydj,y

Step-by-step explanation:

ujf

( 16.9 - 5.47 ) x 7.09 plzz i want with full solution

Answers

Answer:

81.03

Step-by-step explanation:

(16.9-5.47)×7.09

(11.43)×7.09

81.0387

OR

81.03

HOPE THIS HELPS YOU

PLEASE PLEASE HELP ME WITH MATH SO I PASS THIS YEAR!

Answers

Answer:

Step-by-step explanation:

since ∠PRS is supplemental with  ∠VUW  , that is the two angles add up to 180 degrees,  you know that TV  is  parallel with QS  

then the order of the answer from top to bottom are

1

2

5

6

4

3

find the value of x plz help

Answers

Answer:

29 degrees

Step-by-step explanation:

Both angles are the same.

29 Degrees if it is a isosceles

Help ASAP nowwwwww
Please and thank you

Answers

Answer:

y = -1/2x + 5

Step-by-step explanation:

Parallel slope = -1/2

The y-intercept can't be the same so C is the only option

Answer:

C. y = -1 /2x + 5

Step-by-step explanation:

Hope this will help

Question 9 (1 point)
(07.03 MC)
What is the solution to the following equation? (1 point)
8(2x - 10) + 18 = 4x + 22
O 1) 4
0 25
3) 7
4) 8

Answers

Answer:

7

Step-by-step explanation:

16x-80+18=4x+22

16x-62=4x+22

12x-62=22

12x=84

x=7

If 50 students were surveyed, how many chose
chocolate?
V 20 students
If 80 students were surveyed, how many chose vanilla?
20 students

Answers

Answer:

If 50 students were surveyed, how many chose

chocolate?

20 students

If 80 students were surveyed, how many chose vanilla?

20 students

Step-by-step explanation:

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