The Story of Ben and Arthur- Both save $500 per month at 11% compounded monthly. Ben starts at age 19 and stops at age 26, while Arthur starts at age 27 and stops at age 65.

Answers

Answer 1

Answer:

Results are below.

Step-by-step explanation:

It is not clear what the question is. But, I will assume that we need to calculate the future value of each investment at age 65.

First, we need to calculate the future value of the monthly deposit made by Ben. We will use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit= 500

Interest rate (i)= 0.11/12= 0.0092

Number of months (n)= (26 - 19)*12= 84

FV= {500*[(1.0092^84) - 1]} / 0.0092

FV= $62,944.74

Now, the future value of the investment of Ben at age 65:

FV= PV*(1 + i)^n

n= (65 - 26)*12= 468 months

FV= 62,944.74*(1.0092^468)

FV= $4,574,131.31

Finally, the future value of the investment for Arthur:

i= 0.0092

n= (65 - 27)*12= 456

A= 500

FV= {500*[(1.0092^456) - 1]} / 0.0092

FV= $3,484,032.07


Related Questions

hey! please help i’ll give brainliest

Answers

Answer:

Answer is A

Step-by-step explanation:

smart

Answer:

i. A government by the people is the answer.

Step-by-step explanation:

Hope it helps you:)

what is the product 7/3×5/12​

Answers

7/3 × 5/12 = 35/36

....................................

Answer:

♕ [tex] \large{ \tt{EXPLANATION}} : [/tex]

☄ Here are the answers of some question which should be known before solving the given problem :

❊ How do you multiply one fraction by another ?

⤑ To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term if needed.

✎ [tex] \large{ \tt{SOLUTION}} : [/tex]

[tex] \large{ ❃\bf{ \: \frac{7}{3} \times \frac{5}{12}}} [/tex]

[tex] \large{ \bf{↬ \frac{7 \times 5}{3 \times 12}}} [/tex]

[tex] \large{ \bf{ \boxed{↬ \frac{35}{36}}}} [/tex]

[tex] \boxed{ \boxed { \large{ \tt{ ↭ OUR \: FINAL \: ANSWER: \boxed{ \underline{ \underline{\tt{ \frac{35}{36}}}}}}} }}[/tex]

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please help me with this question

Answers

I believe it is answer number 3

DEFINATION OF HABIT IN 50 WORLDS?​

Answers

Answer:

Something you do frequently or on a regular basis is known as a habit.

When he gets nervous, he has a cute habit of licking his lips. [includes]

...an investigation into the eating habits of people in the United Kingdom.

Step-by-step explanation:

what is the reciprocal of 4 1/3?

Answers

Answer:

0.23076923076

You can search for any mathematical expression,

What is the value of x?
56
89
360
104

Answers

If the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.

Given the measure of three angles 124°,76°,71°.

We are required to find the value of x which is an angle of a quadrilateral.

Quadrilateral is a figure or shape that is having four sides and four angles.

We know that the sum of all four angles of a quadrilateral is 360°.

So the following expression will appear from the above rule:

x+124+76+71=360

Now solve the aove expression for the value of x.

x+271=360

x=360-271

x=89

Hence if the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.

Learn more about angles at https://brainly.com/question/25716982

#SPJ1

Zoe the goat is tied by a rope to one corner of a 15 by 25 meter rectangular barn in the middle of a large, grassy field. Over what area of the field can Zoe graze if the rope is 10 meters

Answers

Answer: [tex]78.55\ m^2[/tex]

Step-by-step explanation:

Given

The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.

Zoe can graze in an area equal to quadrant of circle with radius 10 m

Area of grazing is

[tex]\Rightarrow \dfrac{1}{4}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{4}\\\\\Rightarrow \dfrac{\pi \times 10^2}{4}=78.55\ m^2[/tex]

please help and show work

Answers

Answer:

Step-by-step explanation:

x=4

tangent lines from the same point to a circle are congruent in length, so we can say that

5x+8 = 8x-4

5x -5x +8 = 8x - 5x -4

8 = 3x - 4

8+4 = 3x -4 + 4

3x = 12

3x/3 = 12/3

x=4

Pls help anyone plsss

Answers

3 times flipped, two sides fo a coin heads and tails, 2/3 meaning most likely

William only had 1 3/4 cups of flour so he can only make 2/3 of a batch of biscuits how much flour is needed for a full batch of biscuits

Answers

Answer: 2 5/8 Cups

Step-by-step explanation:

Cups of flour he have = 1 3/4

= 7/4

Batch of biscuits made = 2/3

Flour to make a full batch

7/4 / 2/3 = 2 1/8

= 2 5/8 Cups

Hope it helps

Which of the following BEST summarizes how to use the multiplication property of equality to isolate the
variable p below?
A. divide only the right side of the equation by 2
B. multiply only the right side of the equation by 2
C. divide both sides of the equation by -2
D. multiply both sides of the equation by -2

Answers

Answer: A is the answer

Step-by-step explanation:

Answer➬✓ D. multiply both sides of the equation by -2▱▱▱▱▱▱▱[tex]-1/2=4[/tex][tex]-1/2px-2=4(-2)[/tex][tex]-(p)(-1)=-8[/tex][tex]p=8[/tex]┉┉┉┉┉┉┉┉┉hope it helps..have a great day!!

What is the value of x?

Answers

Answer:

It all depends.

Step-by-step explanation:

If you could post an image or something to help us along, I could probably help you.

!!!!WORTH 50 POINTS!!!! ANSWER SOON!
Match the following vocabulary with the definitions.
1. IRA
2. 403(b)
3. 401(k)
4. 529 plan
5. retirement account
1. A plan for setting aside money to be spent after retirement
2. A saving plan for education designed to help set aside funds to pay for future college costs
3. A retirement plan available to employees of nonprofit organizations
4. A retirement plan that some corporations offer their employees
5. A retirement account that lets you save and invest money tax free until you withdraw it when you retire

Answers

1. IRA matches with definition 4
2. 403(b) matches with definition 5
3. 401(k) matches with definition 3
4.529 plan matches with definition 2
5.retirement acc matches with def 1
i think these should be right!!

Please help, nobody is helping I need to find surface area

Answers

Answer:

A) 147.6 sq m

Step-by-step explanation:

Separate the pyramided out into 4 triangles and add those

3 of them (sides) will be the same

[tex]A=h\frac{b}{2} \\A=10\frac{4}{2} \\A=20[/tex]

This is one half of the side, multiply by 2 to get the area of the entire side, 40 square m.

The area of all 3 sides together is 40*3 = 120 sq m

For your base, your height will be 6.9 and your base is 4

A = 13.8  sq m

multiply by 2 again for the entire base

A=27.6 sq m

Now add both

120 + 27.6

What’s the answer hurry

Answers

Answer:

Choice C: Lauren is faster than Kevin, slower than Jeremy.

Step-by-step explanation:

Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.

Slope Formula: (y2-y1) / (x2-x1)

So lets take the table plots (2, 22) and (4, 33) to do this.

(y2-y1) / (x2-x1)

(33-22) / (4-2)

(11) / (2)

The speed of Kevin is 5.5 miles by hour.

Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:

5.5 * 2 = 11 miles per hour

To get the third biker's speed.

Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:

Jeremy: 12 mph

Kevin: 5.5 mph

Lauren: 11 mph

From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.

(2x - 7y )( 2x + 7y )​

Answers

Answer:

Step-by-step explanation:

(2x-7y)(2x+7y)

2x(2x+7y)-7y(2x+7y)

4x^2+14xy-14xy-49y^2

4x^2-49y^2

(2x)^2-(7y)^2

Answer:

[tex] {4x}^{2} - 49y^{2} [/tex]

Step-by-step explanation:

Use (a - b) (a + b) = a^2 -b^2 to simplify the product.

[tex](2x)^{2} - (7y)^{2} [/tex]

To raise the product to a power, raise each factor to that power:

[tex] {4x}^{2} - (7y)^{2} \\ {4x}^{2} - 49y^{2} [/tex]

easy algebra question below first correct answer gets brainliest

Answers

hope this helps! I just used pythagoras theorem

Solve for 2. Round to the nearest tenth of a degree, if necessary, 7.2 D 10 9.4. B​

Answers

Answer:

x=50°

use the sine rule to find the missing angle "x"

Participants enter a research study with unique characteristics that produce different scores from one person to another. For an independent-measures study, these individual differences can cause problems. How can these problems be eliminated or reduced with a repeated-measures study? Check all that apply. In a repeated-measures study, individual differences do not add to the variance of the scores because the same participants are used in all treatment conditions. In a repeated-measures study, you eliminate extraneous changes to the individuals in the sample over time. In a repeated-measures study, both samples consist of the same individuals, eliminating systematic differences between the two samples, which bias the results. In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.

Answers

Answer: In a repeated-measures study, individual differences do not add to the variance of the scores because the same participants are used in all treatment conditions.

• In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.

In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.

Step-by-step explanation:

An independent measures design, is an experimental design whereby the condition of the experiment is such that there are different group of participants. Based on the information given, the problems can be eliminated or reduced with a repeated-measures study through:

• In a repeated-measures study, individual differences do not add to the variance of the scores because the same participants are used in all treatment conditions

• In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.

Therefore, the correct options are A and D.

12
Which number sentence is true?
A
B.
4y2 + 2 = (4y x 4y) + 2
4y2 + 2 = (4y + y) + 2
4y2 + 2 = 4(y + y) + 2
4y? + 2 = 4(y x y) + 2
с
D

Answers

Answer:

D - 4(y x y) + 2

Step-by-step explanation:

(y x y) + y2

4 x y2 = 4y2

which gives you 4y2 + 2

D is the answer hope this helps

NEED THIS IN TEN MINS HELP

NO LINKS OR YOU WILL BE REPORTED

Answers

Answer:

a = 34m²

Step-by-step explanation:

Rectangle

a = 3 * 6 = 18

Trapezoid

a = 4 * (2 + 6)/2 = 16

Combined

a = 18 + 16

a = 34

Carlitos purchased $13.90 of roasted almonds to make his own almond milk.He purchased 5 pounds of almonds.Assuming the cost per pound is the same,what was the cost per pound of the almonds?

Answers

$2.78
Explanation: 13.90/5=2.78

A person is skateboarding to their local skate shop to pick up some sick rims. They skate at 8 miles per hour. The store is 2.5 miles away. How long will it take them to get to the store in hours?

Answers

Answer: 0.3125 hours

Step-by-step explanation:

The formula for time taken to cover a distance is:

= Distance / Speed

Distance = 2.5 miles

Speed = 8 miles per  hour

Time taken = 2.5 / 8

= 0.3125 hours

In minutes this is:

= 0.3125 * 60 mins

= 19 mins approx

This is hard I need help

Answers

Answer:

140.22 ft²

Step-by-step explanation:

Surface area is the sum of areas of 4 triangles.

Each triangle has:

b = 9 ft, h = 7.79 ft

Area of each triangle:

A = 1/2bhA = 1/2*9*7.79 = 35.055 ft²

Surface area:

S = 4*35.055 = 140.22 ft²

Which is the best approximation of √11
1. 3.5
2. 2.5
3 5
4. 5.5

Answers

Step-by-step explanation:

√11 nearest to √9 prefect square

√9 = 3

√11 = 3.5 approx

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A yield sign is an equilateral triangle with a side length of 36 inches. What is the height (h) of the sign? Leave your answer in simplest radical form.

Answers

Answer:

18[tex]\sqrt{3}[/tex] inches

Step-by-step explanation:

Applying,

Pythagoras theorem,

a²= b²+c²

Where a = hypotenus, b = base of the triangle, c = height.

make c the subject of the equation

c = √(a²-b²)................. Equation 2

From the diagram attached,

Given: a = 36 in, b = (36/2) in = 18 in

Substitute these values into equation 2

c = √(36²-18²)

c = √(1296-324)

c = √(972)

c = √(972)

c = √(324×3)

c = 18[tex]\sqrt{3}[/tex] inches


Adding and subtracting unlike fractions in word problems

Ben is making waffles for his friends. the recipe calls for 2/3 cup of bleached flour and 1/4 cup of wheat flour. what is the total amount of flour Ben needs to make the waffles?

what operation is needed to solve this problem?
A) -
B) +
C) ÷
D) × ​

Answers

B. +

Explanation:
Since your lesson is test is mainly about “adding and subtracting unlike fractions in word problems” then why not choose B?

The question is asking for the TOTAL amount of flour, then the given ingredients are both flours. So you will need to add them.

A brainliest would be nice!
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One bag of lawn fertilizer can cover approximately 6,000 square feet. Mike's lawn is about 300 square feet. When Mike applies fertilizer to his lawn, he applies it to 2/3 of his lawn only. About how many complete times can Mike fertilize his lawn with one bag of fertilizer?

Answers

Answer:

Mike fertilize his lawn with one bag of fertilizer = 19.33 times

Step-by-step explanation:

Given - One bag of lawn fertilizer can cover approximately 6,000 square feet. Mike's lawn is about 300 square feet. When Mike applies fertilizer to his lawn, he applies it to 2/3 of his lawn only.

To find - About how many complete times can Mike fertilize his lawn with one bag of fertilizer?

Solution -

Given that,

1 bag of fertilizer can cover approximately 6,000 square feet.

Now,

Mike's Lawn = 300 square feet

He applied fertilizer to 2/3 of his lawn only.

i.e

He applied fertilizer to (2/3)×300 = 200 square feet of lawn

Now,

Total fertilizer left to cover = 6,000 - 200 = 5800 square feet

Now,

Let x be the times for which he fertilize his lawn fully

SO,

300x = 5,800

⇒3x = 58

⇒x = 19.33

∴ we get

Mike fertilize his lawn with one bag of fertilizer = 19.33 times

There are 65 chairs set up for a movie. they are arranged into 5. How many chairs are in each row




help plz it’s a test

Answers

Answer;
13
Explanation:
5 divided by 65 = 13
13 chairs in each row of 5 equals to 65

The figure shows a rectangle ABCD.
E lies on AB such that ADE = 51"
and DCE = 68.
68
Find
(1) AÊD​

Answers

Answer:

Answer:

The answer is 39°

Step-by-step explanation:

BAD = 90°

ADE = 51°

AED = 180° - BAD + ADE = 180° - 90° + 51°

= 39°

39° is the Final answer

#AnswerforTrees

Answer:

39° is the required answer.

Step-by-step explanation:

BAD = 90°

ADE = 51°

AED = 180° - (BAD + ADE)

→ 180° - (90° + 51°)

→ 180° - 141° = 39°

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