a philanthropist pledges to donate 18% of a fund each year. If the fund initially has $463,000.00, how much will the fund have after 6 years

Answers

Answer 1

To calculate the amount in the fund after 6 years, we need to find the remaining 82% (100% - 18%) of the fund after each year.

Let's calculate the amount in the fund after each year:

Year 1: $463,000.00 - 18% = $463,000.00 * 0.82 = $379,660.00

Year 2: $379,660.00 * 0.82 = $311,451.20

Year 3: $311,451.20 * 0.82 = $255,040.26

Year 4: $255,040.26 * 0.82 = $209,371.41

Year 5: $209,371.41 * 0.82 = $172,087.81

Year 6: $172,087.81 * 0.82 = $141,211.10

Therefore, after 6 years, the fund will have approximately $141,211.10 remaining.


Related Questions

A soup can is the shape of a cylinder. The base is a circle that has a circumference of 9.0 cm. In your pantry you line up a bunch cans. How wide must your pantry be if you want to fit 8 cans. Round to the nearest tenth.

A soup can is the shape of a cylinder. The base is a circle that has a circumference of 9.0 cm. In your

Answers

Answer:

22.88cm

Step-by-step explanation:

The formula for the circumference (C) of a circle is the following

C = \(2\pi r\)

We need to use plug in the given value for the circumference of a can and solve for r which is the radius.

9 = \(2\pi r\)

9 = 6.283r

1.43 = r

Now that we have the radius we can multiply it by 2 to get the diameter of the can

1.43 * 2 = Diameter

2.86 = Diameter

Finally, we can multiply the diameter by 8 in order to calculate the total width needed to fit the 8 cans in the pantry.

2.86 * 8 = 22.88cm

Solve for n and simplify your answer. -20=-4/3 n

Answers

N= -15
I took the test earlier today

can somebody please answer this question correctly please

can somebody please answer this question correctly please

Answers

Answer:

sorry i don't know the answer

Answer:

so I know the first answer

Step-by-step explanation:

so total is 40 points but the total is divide by 2 points so we get 20 questions so if u get 6 wrong then you get 20-6=14... therefore the score with 6 wrong is 14

Find the mean of the data in the bar chart below. ​

Find the mean of the data in the bar chart below.

Answers

Mean= (5+6+5+6+9)/5= 7.2 coins

Explanation: The mean is the average of a data set. Add the numbers from the data set and divide by how many numbers.

Help me with this bs

Help me with this bs

Answers

Answer: It’s A bc it’s a

To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.

To find the number in a square, add the numbers in the two circlesconnected to it.Fill in the missing

Answers

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

square = circle + circle

We can deduce that :

circle = square - circle

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:

Answers

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

The logistics/operations manager of a mail order house purchases two products for resale: king beds (K) and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150. Which of the following is not a feasible purchase combination?

a. 100K - 90Q <= 18,000
b. 90K + 100Q <= 18,000
c. 300K + 90Q <= 18,000
s. 500K + 100Q <= 18,000
e. 100K + 90Q <= 18,000

Answers

Answer:

500K + 100Q <= 18,000 ( D )

Step-by-step explanation:

king bed ( K ) requires = 100 cubic feet

Queen bed ( Q ) requires = 90 cubic feet

Total available space = 18,000 cubic feet

Revenue of king size bed = $300

Revenue of queen size bed = $150

Hence the NOT feasible purchase combination

= 500K + 100Q <= 18,000

because 500 of king size bed + 1000 of queen size is > 18,000

Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Explain why A has n pivot columns and A is row equivalent to In.
A. Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nxn identity matrix, In
B. Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in A must be on the main diagonal. Hence A is the nxn identity matrix, In.
C. Suppose A is n x n and the equation Ax=0 has only the trivial solution. Then there are n free variables in this equation, thus A has n pivot columns. Since A is square and then pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nxn identity matrix, In.

Answers

Answer:

i think that the answer is like hhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?

A company uses the graph to show how many packages each truck driver delivers .How many packages will

Answers

The truck driver would deliver 105 packages in a 7 hours day

What is an equation?

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Plssss help.........

It’s geometry.......

Plssss help.........Its geometry.......

Answers

Answer: me to

Step-by-step explanation:

Answer: EGD

Step-by-step explanation:

The Riley family has 3 children all born 1 year apart. Kate is the youngest, Bradley is the middle child, and Cameron is the oldest. Together, the children's ages total 36. How old is Kate?​

Answers

Step-by-step explanation:

12

Answer:

11

Step-by-step explanation:

11+12+13 =36

So  Kate would be 11. Bradley would be 12. And Cameron would be 13

Given that ∅ = 12.2° , calculate the area of the triange below
give your answer to 2 d.p.

Given that = 12.2 , calculate the area of the triange belowgive your answer to 2 d.p.

Answers

Answer:

A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)

A = (1/4)√29√21√7

= about 16.32 mm²

Answer:

  16.27 mm²  (see comment)

Step-by-step explanation:

You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.

Area

The area is given by the formula ...

  A = 1/2ab·sin(C)

  A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²

The area of the triangle is about 16.27 square millimeters.

__

Additional comment

If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)

  s = (4 +11 +14)/2 = 14.5

  A = √(s(s -a)(s -b)(s -c))

  A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375

  A ≈ 16.32

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Given that = 12.2 , calculate the area of the triange belowgive your answer to 2 d.p.
Given that = 12.2 , calculate the area of the triange belowgive your answer to 2 d.p.


Which fraction is in simplest form?
17
51

19
30

21
24

21
35

Answers

19/30 is already in simplest formed
I think it’s 19/30 !!!!!!

The function f(x) = 1.85x^2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.

Answers

Answer:

I helped you last time so I'll help you again.

Step-by-step explanation:

We can find the average rate of change of f(x) over the interval [10, 20] using the formula:

average rate of change = (f(b) - f(a))/(b - a)

where a = 10 and b = 20.

So, we have:

f(a) = f(10) = 1.85(10)^2 = 185

f(b) = f(20) = 1.85(20)^2 = 740

average rate of change = (740 - 185)/(20 - 10) ≈ 55.5

Therefore, the average rate of change of f(x) over the interval [10, 20] is approximately 55.5.

Write an equation to represent the product of the quantity 3 times a number x minus 3 and 2.5 is equal to 6.

Answers

The algebraic equation n - 5 = 12 represents the sentence "the product of the quantity 3 times a number x minus 3 and 2.5 is equal to 6." and the solution of the equation is the value of variable x is 2.2.

The given statement is "the product of the quantity 3 times a number x minus 3 and 2.5 is equal to 6."

According to the given question, translate the phrase into an algebraic form :

⇒ 3(x - 3) × 2.5 = 6

Now the above equation solves for variable x,

⇒ 3(x - 3) × 2.5 = 6

⇒ (3x - 9) × 2.5 = 6

Divided by 2.5 to both sides of the above equation,

⇒ (3x - 9) = 2.4

⇒ 3x = 2.4 - 9

⇒ 3x = 6.6

⇒ x = 6.6/3

⇒ x = 2.2

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List all the subsets of the given set.
{e, n, t}

Answers

The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

How to obtain the number of subsets in a set?

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=​

Answers

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Find the volume to each equation
(Directions listed above questions)

Find the volume to each equation (Directions listed above questions)

Answers

The volume of the triangular prism is 30. 04 cubic yards

The volume of the cylinder is  380.38 cubic km

How to determine the value

The formula for calculating the volume of a triangular prism is expressed as;

Volume = 1/2 bhl

Now, substitute the values

Volume = 1/2 × 3.08 × 5.84 × 3. 34

Multiply the values

Volume = 30. 04 cubic yards

The formula for the volume of a cylinder is expressed as;

Volume = πr²h

Radius = 3km

Substitute the values

Volume = 3. 14 × 9 × 13.46

Multiply

Volume = 380.38 cubic km

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Date Work out the difference between 09:15 and 20:30​

Answers

Answer:

11h 15 mins

Step-by-step explanation:

This is because the difference between the two are basically you adding the higher number (20:30) then taking away the lower one (9:15). 20:30 - 9:15 = 11:15, since you are working out the difference, you have to convert it into hours and minutes, as they are the digits in the other two numbers, making the answer 11h 15m.

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!

Answers

Zero solution, distribute 2 through the parentheses
4x+2=4x+3
Remove the equal terms from both sides
2=3
Because 2 doesnt equal 3 there is no solution

London and her children went into a grocery store and will buy apples and
bananas. Each apple costs $2 and each banana costs $0.80. London has a
total of $20 to spend on apples and bananas. Write an inequality that would
represent the possible values for the number of apples purchased, a, and the
number of bananas purchased, b.

Answers

Answer:

10a < 25b

Step-by-step explanation:

The required inequality, which represents the possible values for the number of apples and bananas purchased is 2a + 0.8b ≤20.

What is inequality?

Inequality can be defined as the relation of the expression containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let, the number of apples purchased, a, and the number of bananas purchased, b.


According to the question, Each apple costs $2 and each banana costs $0.80. London has a total of $20 to spend on apples and bananas.
So,
2a + 0.8b ≤20

Thus, the required inequality, that represents the possible values for the number of apples and bananas purchased is 2a + 0.8b ≤20.

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Find the AREA of this shape

Find the AREA of this shape

Answers

104 square yards

The formula for area of a rectangle is length times width.

A = length x width
A = 13 x 8
A = 104
Since the units on each side are yards, the area is in square yards.
104yd^2
Area=length x width
13x8=104

Solve for x leave your answer in simplest radical form​

Solve for x leave your answer in simplest radical form

Answers

Answer:

X=11 trust me on my mom

A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Round your answer to the nearest whole number.) 3 ft6 ft12 ft A frustum of a cone with a spout is given. The smaller radius is 3 ft, the larger radius is 6 ft, and the height is 12 ft.

Answers

The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Which equation is equivalent to StartRoot x EndRoot + 11 = 15?

Which equation is equivalent to StartRoot x EndRoot + 11 = 15?

Answers

Answer:

x+121=225

Step-by-step explanation:

√x+11=15

to find the equivalent let's square both sides

(√x)²+11²=15²

x+121=225

This answer is the only one that matches the question

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factor and solve
x^2-4x=5

Answers

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

The mass of the Earth is about 6,000,000,000,000,000,000,000,000 kg. The mass of a human toddler's brain is about 400 grams. SHOW ALL WORK
(a) What is the mass of the Earth written in scientific notation?
(b) What is the mass of a toddler’s brain in scientific notation?
(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
(A) = 6 x 10^24
(B) = 4 x 10^2
(C) but i need help on C cause I think you have to combine the kg and grams but I dont know how

Answers

Step-by-step explanation:

that's why it is so important to always write also the units a number represent.

and for a fully nice scientific notation you write also at least 1 digit after the decimal point.

(a) 6.0 × 10²⁴ kg

(b) 4.0 × 10² g

now,

1 kg = 1000 g ("kilo" means 1000)

so, in order to be able to compare the 2 numbers, you have to bring both numbers to the same unit. either both to kg or both to g.

6.0 × 10²⁴ kg = 6.0 × 10²⁴ × 1000 g = 6.0 × 10²⁷ g

or

4.0 × 10² g = 4.0 × 10² / 1000 kg = 4.0 × 10^-1 kg

once you have both showing the same unit, you can truly compare them.

Please help! Which statement belongs in space number 3?

Please help! Which statement belongs in space number 3?

Answers

Answer:

the triangles are not congruent

HL is the statement which belongs to the space number 3.

According to the given triangles, DF and EH are parallel, DH and EG are parallel, and DF is congruent to EH.

The HL congruence theorem states that if the hypotenuse and one leg of a right triangle are congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.

In this case, since DF and EH are parallel, DH and EG are parallel, and DF is congruent to EH, we have the conditions required for the HL congruence theorem.

Therefore, we can conclude that ΔDFH is congruent to ΔEGH.

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Y-4x=9 in standard form please show your work

Answers

Answer:

y = x + 9/4     or     y = x + 2 1/4

Step-by-step explanation:

y - 4x = 9

y - x = 9/4 (divide both sides by 4)

y = x + 9/4 (Add x to both sides)

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