A philanthropist pledges to donate 13% of a fund each year. If the fund initially has $761,000.00, how much will the fund have after 16 years?
Please type answers with no commas and round to 2 decimal places.

Answers

Answer 1

If the philanthropist pledges to donate 13% of a fund each year, at the end of 16 years, the fund will have  $35,517,190.20.

How much would the fund have after 16 years?

The formula that can be used to determine the value of the fund after 16 years is:

Initial value of the fund x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

(1.13^16 - 1) / 0.13 = 46.671735

46.671735 x $761,000.00 = $35,517,190.20

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Related Questions

At a conference for 500 people, 10% of the participants are french, 35% are americans, 20% are germans, and are of other nationalities. how many french participants are at the conference? 10 20 40 50

Answers

A percentage is a way to describe a part of a whole. The number of French people at the conference is 50.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the total number of people in the conference is 500, while 10% of the participants are french. Therefore, the number of people who are French at the conference can be written as,

Number of French People = 10% of the number of people in the conference

[tex]\text{Number of French People} = \dfrac{10}{100} \times 500 = 50[/tex]

Hence, the number of French people at the conference is 50.

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How do you write a decimal for 30 divided by 8

Answers

Answer:

3.75?

Step-by-step explanation:

I dont know if this is what youre looking for but I guess?

Whoever gets it right get s brainlest This figure shows the dimensions of a right triangular prism.


What is the volume of the right triangular prism in cubic meters?


16 m3

24 m3

48 m3

144 m3

Answers

Answer:

48

Step-by-step explanation:

8x3x2= 48

Answer:

its 48

Step-by-step explanation:

8x3x2= 48

Matt says that 5- 1 1/4 with be more than 4, since 5 - 1 is 4

Answers

Answer:

Step-by-step explanation:

He is incorrect.

We are not only subtracting 1 from 5 but 1/4 also,  so the result has to be less than 4.

5 - 1 1/4

= 5 - 1 -1/4

= 3 3/4.

Model this equation using a visual model.
4x + 8.46 = 2x + 15.62

Answers

I will clarify you
Soln:-
Or,4x-2x=15.62-8.46
Or,2x=7.16
Or,x=7.16/2
Or,x=3.58

Use complete sentences to describe the use of an indirect proof.

Answers

Answer:

In an indirect proof, instead of showing that the conclusion to be proved is true, you show that all of the alternatives are false.

The indirect proof serves as a powerful tool in mathematical reasoning, allowing mathematicians to establish the truth of statements by strategically exploiting logical inconsistencies within assumed false premises.

An indirect proof is a method in math where you assume the opposite of what you want to prove, then show that this assumption leads to a contradiction or inconsistency.

This means that the opposite assumption must be false, making the original statement true.

It's a way to prove something by showing that its opposite can't be true.

Hence, Indirect proof assumes opposite, leads to contradiction, proving original statement true. Used when direct proof is challenging or problem suits contradiction.

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What is the answer to this?

Answers

Pretty sure it’s 5. 4x4=16 80/16=5

Volume Formula: length x width x height

---Let's first write down what we're given.

Volume = 80

Length = 4

Width = 4

Height = ?

---Now, plug what we know into the formula for volume and solve for the missing variable.

80 = 4 x 4 x h

80 = 16 x h

h = 5

g = 5 centimeters

Hope this helps!

Help...........................

Answers

It has a ratio of 1:4, meaning for every x, you'd get 4 from your y

What measures are taken to discourage car owners, who must wait for the passengers, to use the drop and go parking​

Answers

Answer:

Short-term parking is generally used by drivers who will be in the airport for less than four hours. On-site long-term parking allows travelers to park their cars for the duration of their trip. Off-site long-term parking offers discounted parking space for travelers wishing to park for the duration of their trip.

find the value of x in each of the following
a) x/3 - 2 =6
b) x/5 + 1 =5​

Answers

Answer:

the answer to question a is 24

the answer to question b is 8

a—x=24
b—x=20

Rate brainliest

Help!! This is i-ready!!! Will get brainiest!!!

Answers

Answer:

C is the answer

Step-by-step explanation:

people who usually volunteers really don't get represented

The admission fee at a small fair is $1. 50 for children and $4. 00 for adults. on a certain day, 2200 people enter the fair and $5050 is collected. how many children and adults attended?

Answers

700 adults and 1,500 children

(I don't really know how to explain it though.)

You pick a card at random. 3 4 5 6 What is P(less than 5

Answers

Answer:

1/2 of a chance.

Step-by-step explanation:

There are 2 numbers out of 4, which is 2/4 or 1/2

You are paid $1380 for working 80 hours in two weeks at your full-time job. At this rate of pay, how much would you be paid if ypu worked 100 hours in a month

Answers

Answer:

To answer this, we have to do the equation below:

[tex]1,380/80[/tex]

When we do this, we come up with the answer of 17.25

Now we know that we get paid $17.25 an hour.

Now, we must do the equation below:

[tex]100 X 17.25[/tex]

When we multiply, we get the answer of 1,725

So, we get paid $1,725 if we work for 100 hours.

Step-by-step explanation:

Hope this helps!

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

A quality control manager at a tortilla company wants to estimate the mean diameter of the tortillas
produced by a certain machine. The manager is deciding between a 90% confidence level and a 95%
confidence level. Compared to a 90% confidence interval, a 95% confidence interval will be,,

a. Narrower and the margin of error would increase
b. Wider and the margin of error would increase
c. Narrower and the margin of error would decrease
d. Wider and the margin of error would decrease

Answers

Answer:

C. Narrower and the margin of error would decrease

The required, option b (wider and the margin of error would increase) is the correct answer.

What is the margin of error?

In statistics, the margin of error (MOE) is the degree of uncertainty associated with a statistical estimate, usually an estimate of a population parameter based on a sample of data. It is the range of values above and below a sample statistic that is likely to contain the true population parameter with a certain level of confidence.

Compared to a 90% confidence interval, a 95% confidence interval will be wider and the margin of error would increase.

This is because a higher confidence level requires a larger range of possible values to be included in the interval, which in turn leads to a wider interval. With a higher confidence level, the z-score used to calculate the margin of error increases, resulting in a larger margin of error.

Therefore, option b (wider and the margin of error would increase) is the correct answer.

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The total assets of a company in millions of dollars can be modeled by the function f (a)
represents the number of years that have passed since the company was founded.
-0.502 + 8x + 3, where &

Answers

2+2 equals 8 this week and yea we will be there at this time in

Walmart has baby diapers for $5.99, car tires for $79.99 and cheerio’s $3.99. what’s the total cost?

Answers

Answer:

89.97

Step-by-step explanation:

5.99+79.99 = 85.98 + 3.99  = 89.97

Candice has already taken 5 pictures at home, and she expects to take 1 picture during every day of vacation. How many days will Candice have to spend on vacation before she will have taken 7 pictures?

Answers

Answer:

2 days.

Step-by-step explanation:

Candice has already taken 5 pictures total, so if she needs to have seven in total she will only have to go on vacation for two days.

Does anyone know how much does a Toyota AE86 car gets for monthly car payments??

not math-related sorry

Answers

Answer:

$464

Step-by-step explanation:

HELPP PLSSS!!!
Find the volume of the following objects.

Answers

Answer:

1. 314.159

2. 3,801.327

3. 1,407.433

Help me on this question please!

Answers

Answer:

16

Step-by-step explanation:

You're doing a subtraction problem between (x+5) and (2x+3)

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

**You need to solve for x first then plug it in to find the answer.***

(I had to break the parentheses because that is the only way to solve)

-x +8

x= -8

-8 + 5 - (-16+3)

-3 + 16 + 3

13 + 3 = 16

Answer:

-x+2

Step-by-step explanation:

(x+5)-(2x+3)
distribute
x+5-2x-3
combine like terms
x-2x+5-3
-x+2

hey, could you help me real quick?

Answers

solution:

[tex]\frac{299}{6}=49\frac{5}{6}[/tex]

decimal result:

[tex]49.833[/tex]

1. Simplify the expression

[tex]26/3*23/4[/tex]

Multiply the fractions:

[tex]\frac{\left(26\cdot23\right)}{\left(3\cdot4\right)}[/tex]

Cancel terms:

[tex]\frac{\left(13\cdot23\right)}{\left(3\cdot2\right)}[/tex]

Simplify the arithmetic:

[tex]\frac{299}{\left(3\cdot2\right)}[/tex]

Simplify the arithmetic:

[tex]\frac{299}{6}[/tex]

Simplify the fraction:

[tex]\frac{299}{6} =49\frac{5}{6}[/tex]

Hello!

[tex]==========================================[/tex]

First, let's convert the mixed numbers into improper fractions:-

[tex]\bf{8\displaystyle\frac{2}{3}[/tex]

Step 1:-Multiply the whole number (8) times the denominator (3). The product is 24.Add the numerator (2). The sum is 26.The denominator stays the same.Thus, the fraction is

[tex]\displaystyle\frac{26}{3}[/tex]

Now, do the same for the second fraction:-

Multiply 5 times 4. The product is 20Add 3. The sum is 23.The denominator stays the same.Thus, the fraction is

[tex]\displaystyle\frac{23}{4}[/tex]

Now, the formula for the area is

[tex]\bold{A=bh}[/tex]

We know both b and h, so we can just plug in the values and solve:

[tex]\bold{A=\displaystyle\frac{26}{3} *\frac{23}{4} }}[/tex]

Actually, we can reduce some fractions here (we can divide 26 and 4 by 2)

[tex]\bold{\displaystyle\frac{13}{3} *\frac{23}{2}}[/tex]

Multiplying 13 times 23 is easier than multiplying 26 times 13.

Now, this can only be done if the numbers do have some common factors. Both fractions are now in simplest form; 13, 23, 3 & 2 don't have common factors.

Multiply:

[tex]\bold{\displaystyle\frac{13*23}{3*2}}}[/tex]

The answer is

[tex]\bold{\displaystyle\frac{299}{6}}[/tex]

Convert to a Mixed Number:-

[tex]\bold{49\displaystyle\frac{5}{6}}[/tex]

[tex]==================================[/tex]

Notes:-Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~Is~Power!}[/tex]Good luck & enjoy your day!Answered by:-

Nickname:- [tex]\mathbb{DiAmOnD}[/tex]

[tex]\boxed{An~emotional~helper}[/tex]

Find x.

A) 32
B) 8
C) 16
D) 24

Answers

Answer: D

Step-by-step explanation:

Find the area of triangle

Answers

So we see one large triangle, that can be split into two triangles split by the thin dotted line:

the First triangle --> has a hypotenuse of 26 and a leg of 11the Second triangle --> has a hypotenuse of 42

Let us find the other leg of the First triangle which also happens to be the height of the larger triangle, using the Pythagorean theorem

     [tex]a^2+b^2=c^2\\a^2 + 11^2 = 26^2\\a^2 = 26^2-11^2=555\\a=23.56[/tex]

Thus the height of the entire triangle is 23.56 which also happens to be one of the legs of the Second triangle

     [tex]a^2+b^2=c^2\\a^2+(23.56)^2=42^2\\a^2 = 1764-555=1209\\a = 34.77[/tex]

Having found the other leg of the Second Triangle, we can find the base of the larger triangle is:

     -->  34.77 + 11 = 45.77

The height as found in the first initial step is 23.56 thus the area is

   Area = [tex]\frac{1}{2}*b*h=\frac{1}{2}*23.56*45.77=539.17[/tex]

Hope that helps!

Create an algebraic expression that always results in 6 more than a multiple of 5 if the variable is an integer. no links

Answers

Hello!

[tex]===========================================[/tex]

Let's create an expression that always results in 6 more than a multiple of 5.

First, let the unknown number be x.

Then, we should multiply it times 5 and add 6 (6 more means we add 6)

So the expression is

5x+6

Will this work? We can easily check by plugging in some numbers:

5(2)+6

10+6

10 is a multiple of 5

16 ✓

Try another number:

5(3)+6

15+6

21 ✓

Try a negative number:

5(-3)+6

-15+6

-9 ✓

Try zero:

5(0)+6

0+6

6 ✓

[tex]============================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Answered by

[tex]^\square\boxed{An~Emotional~Helper}^\square^\bigstar[/tex]

An algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.

The given statement is "6 more than a multiple of 5 if the variable is an integer".

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Let the unknown number be x.

A multiple of 5 is 5x

6 more than a multiple of 5 if the variable is an integer

= 5x+6

Hence, an algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.

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A 1000 kg car moving at 3 ms runs into a 10 kg shopping cart at rest. The shopping cart gets wedged under the car and they stick together. What is their new velocity after the collision?

Answers

Their new velocity after the collision is 2.97m/s

Collision of an object

According to the law of momentum, the sum of momentum of bodies before the collision is equal to their sum after the collision.

The formula for calculating the momentum of a body is expressed as:
Momentum = mass * velocity

According to the law

m1u1 + m2u2 = (m1 + m2)v

v is the new velocity after the collision

Substitute the given values

1000(3) + 10(0) = (1000+10)v

3000 = 1010v

v = 3000/1010

v = 2.97m/s

Hence their new velocity after the collision is 2.97m/s

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) There are 8 children in Sophie's preschool class. During free time yesterday, 1 of them
chose to read books. What is the experimental probability that a randomly selected
preschooler would choose to read books today?

Answers

Using it's concept, it is found that there is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

In this problem, in the previous trial, one out of eight students read a book, hence:

p = 1/8 = 0.125 = 12.5%.

There is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.

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Find+the+z-scores+that+separate+the+middle+69%+of+the+distribution+from+the+area+in+the+tails+of+the+standard+normal+distribution

Answers

Answer and Explanation:

1 - 0.69/ 2 = 0.155

0.155 = -1.02

(-1.02, 1.02) = z

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution is  (-1.02, 1.02).

What is a z- score?

Z- score refers to how much a given value differs from the standard deviation.

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution.

α = 1 - 0.69/ 2

α =  0.155

0.155 = -1.02

z = (-1.02, 1.02)

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What is the value of x?

Answers

Answer:

x = 88 -5y/2

Step-by-step explanation:

(2x - 4) + 5y + x = 180
x = 180 - (2x - 4) -5y -x

x = 180 - x - 4 -5y

x = 176 - x -5y

2x = 176 - 5y
x = 88 -5y/2
Hope this helps :)

Eric runs a coffee shop and bought 5,480 cups at the beginning of the week. At the end of the week, he had 20% of the cups left. How many cups does Eric have left?

Answers

Answer: 1,096 cups

Step-by-step explanation:

Answer: 1096 cups left.

Step-by-step explanation: 20% of 5,480 is 1096.  This is accurate because 20% is one-fifth of 100%.  In this case, 5,480 is our 100%.  When you divide 5,480 by 5, you get the answer 1,096, which is 20% of the 5,480 cups that Eric started with.

Have a great day! :)

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