Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40

B. $720,421.84

C. $37,784.31

D. $556,559.8​

Answers

Answer 1

Answer:

487,988.40

Step-by-step explanation:

I took the test


Related Questions

Math question: Solve for y: 2x-y=3

Answers

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

This is just algebraic manipulation. In order to solve for y, you need to isolate it. Start this by moving the 2x from the left side of the equation. You can do this by subtracting 2x from both sides and you should end up with:

[tex]-y=-2x+3[/tex]

After this, you still have a negative y, which means you just need to divide both sides of the equation by -1 to get rid of the negative. That should reverse the signs of all the variables in the equation, making it look like:

[tex]y=2x-3[/tex]

Paul uses a coordinate plane to design his model town layout. Paul moves the market 2 units left and 3 units down. He says the ordered pair for the new location of the market is (0, 6). Explain Paul's mistake and write the correct ordered pair for the new location of the market.

Answers

Answer:

(1,5) because, before it was at (3,8) and  

3 – 2 = 1      

8 – 3 = 5

For further explanation:

(3,8) / (2,3) = (1,5)

2 for 2 units left and 3 for 3 units down

Carla wants to save $55.50 to buy a new video game. Carla babysits her niece once a week and earns the same amount of money each week. After every time she babysits she donates $2 from the money she earned to the local food bank. Carla calculates that it will take her 6 weeks to save enough to buy her video game. Write and solve an equation to determine how much money Carla earns per week. ​

Answers

Answer:

$11.25

Step-by-step explanation:

55.50 divided by 6 = 9.25

9.25 + 2 = 11.25

help me find the answer please​

Answers

Answer:

A x<1125

Step-by-step explanation:

What two numbers multiply to -5 and add to 4?

Answers

Answer:

The two numbers that multiply to -5 and add to 4 are:

5 and -1

Step-by-step explanation:

5 • -1= -5

5 - 1= 4

please help is it 2/9?​

Answers

Answer:

7/9    

Step-by-step explanation:

7/9

Answer:

7/9

Step-by-step explanation:

Brainliest maaaybe? :)

Please help due two days ago helpp me please Which measure of center is the most appropriate for the data in Table 1 (Height) in Task 1? Give a reason for your answer. calculate the value of the most appropriate center value of the heights.

Answers

Answer:

I think the correct answer is....... The measure of center for table 1 is 61, 62, 58, and 57 inches. The most kids had the same number of inches in this category.

I'm not 100% sure so try at your own risk

Have a great day!

The center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

What is Measures of center?

Measures of center of data set is also "a way of describing data set. The two most widely used measures of the center is mean and median".

What is mean?

Mean is the process of "adding all values and then divided by total number of values".

What is median?

Median is the "process of arranging data value in ascending or descending order and then divided data set into two if 'n' is odd then middle  point is the median or if 'n' is even then sum of two mid value and then divided by two".

What is  Mode?

Mode can be one, "two or more in the given data set. The number or data point which have more frequency is taken as mode".

According to the question,

Measures of center is the most appropriate for the data in Table 1 (Height) in Task 1.

Heights in inches                       Frequency

         55                                             1

          57                                              3

          58                                             3

          59                                              2

          60                                              1

          61                                               3

          62                                              3

          63                                              2

          64                                              2

          65                                              2

          66                                              1

           67                                              1

Total number of frequency = N = 1+3++3+2+1+3+3+2+2+2+1+1 =24. Number of siblings n =12

Mean = ∑(Height of inches × Frequency of height)/Total number of frequency.

= [tex]\frac{(55*1+57*3+58*3+59*2+60*1+61*3+62*3+63*2+64*2+65*1+66*1+67*1)}{24}[/tex]

= [tex]\frac{1399}{24}[/tex]

= 58.29.

Mean of heights of siblings are 58.29

Median of the height of 24 siblings are sum of 61 and 62 divided by 2.

= [tex]\frac{61+62}{2}[/tex]                           [since 'n' is odd]

=61.5.  

Median of the height of 24 siblings are 61.5.

Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

Hence, the center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

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(please help)!!!!!!!!!!!!!!

Answers

Answer

use trigonometry to find both the answers.    

i have done the working out in the picture hope it helps...

Step-by-step explanation:

2/3 x 6 need help asap​

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/3 x 6 is 4 because when you times the 2 in 2/3 u get 12 and 12/3 is the same as 4

What is the result of subtracting the second equation from the first?
-4x-2y=-2
x-2y=9

Answers

Answer:

x=2.2

y=-3.4

Step-by-step explanation:

subtract the second from the first

-5x=-11

x=2=2

substituting by x in the first equation

so y=-3.4

help me please, i’m confused. thanks!

Answers

Answer:

Step-by-step explanation:

The answer is x=9/5. Hope this helps!

How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to
the volume of a cylinder with a radius of 8 inches and a height of 6 inches?

Answers

Answer:

they are the same

Step-by-step explanation:

We can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.

What is the volume of cylinder?

The volume of cylinder is given by -

V = πR²h

Given is to compare the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to the volume of a cylinder with a radius of 8 inches and a height of 6 inches.

Volume of cylinder 1 will be -

V(1) = πR²h = 6 x 6 x 8π = 36 x 8π = 288π

Volume of cylinder 2 will be -

V(2) = πR²h = 8 x 8 x 6π = 64 x 6π = 384π

So, we can write that -

V(1)/V(2) = (288π)/(384π)

V(1)/V(2) = (288)/(384)

V(1)/V(2) = 3/4

Therefore, we can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.

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please help!!!!! simplify

Answers

Answer:

Pretty sure it's B

Step-by-step explanation:

Use completing the square to find the equation of the following circle in standard form.

x2 + y2 - 4x + 12y - 16 = 0

Answers

Answer:

Here's a calculator that should help

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php

What is the area of this tile

Answers

Answer:

12 in^2

Step-by-step explanation:

Answer: 12in^2

Step-by-step explanation:

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

B ( -1, -8)

Step-by-step explanation:

A ( -7, -6)

midpt (-4, -7)

Equation:

(x + 3, y - 1)

Solve for B:

(-4, -7)

(x + 3, y - 1)

( -1, -8)

The guy on top of me is right I am just trying to give him more credit for his amazing answer

Right will be marked brainlist

Answers

Answer:

the answer is 3,107.21

The answer to that question is that one



2) Michael decides to go for a cycle ride. He rides a ​

distance of 80 km at an average speed of 24 km/h. ​

Work out how long Michael’s ride takes

Answers

Step-by-step explanation:

REMEMBER D/S×T (triangle)

therefore, finding time

D/S

80/24

make sure to press the degrees button on your calculator

3 hours and 20 minutes

The units for square centimeters are written as
Check all that apply.
O A. cm2
B. sq. cm
C. km2
D. sq.m
E cm

Answers

The answers are A and B.
The answer is a and b

a cone and a cylinder have equal radii,r, and equal altitudes, h. If the slant height is l, then what is the ratio of the lateral area of the cone to the cylinder?​

Answers

The ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.

What are a cone and a cylinder?

The solid formed by two congruent closed curves in parallel planes along with the surface created by line segments connecting the corresponding points of the two curves is known as a cylinder.

A cylinder with a circular base is known as a circular cylinder. Based on the form of its base, a cone is given a name.

It is given that a cone and a cylinder have equal radii,r, and equal altitudes, h. The ratio of the lateral surface area of the cone to the cylinder will be calculated as below:-

The lateral area of the cone = πr√(h²+r²)

The lateral area of the cylinder = 2πrh

The ratio will be calculated as:-

R = πr√(h²+r²)  /   2πrh

R = √(h²+r²) / 2h

Therefore, the ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.

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On day 1 Vampire
Olly slept 5 hours. On
day 2 he slept 7 hours.
By what percent did he
increase his sleeping?

Answers

Answer:

40%

Step-by-step explanation:

Initial number of hours = 5Increased number of hours = 7

Change:

7 - 5 = 2

Percent change:

2/5*100% = 40%

Here is my question.

Answers

Answer: True False True true

Step-by-step explanation:

Answer:

true

false

true

true

Step-by-step explanation:

Cool-down Melanie and Kala each started solving equation 2 for x. 1 (7x – 6) = 6x – 10 The result of Melanie's first step was: 3.5x = 6 = 6x - 10 The result of Kala's first step was: 7x - 6= 12x - 20 One of them made an error. Who was it, and what was the error?
I need to find who made the error and what was the error ​

Answers

Answer:

Kala's first step.

Step-by-step explanation:

Solving linear equations.

Step 1: Simplify each side, if needed. Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side. Step 3: Use Mult./Div. Step 4: Check your answer. I find this is the quickest and easiest way to approach linear equations. Example 6: Solve for the variable.

But Kala did not do that. Instead, she skipped the first stages and moved on ahead, making her equation invalid.

A system of equations consists of two lines. One line passes through (8,4) and (6.3) and the second line passes through (0, -2) and (4.0).

Answers

Answer:

system is:

y = 1/2x

y = 1/2x - 2

No Solution to this system

Step-by-step explanation:

Please help! I need this answer right ! And I’m unsure can you LMK ASAP???

Answers

Answer:B

Step-by-step explanation:

Help me please thanks

Answers

Answer:

64 square cm

Step-by-step explanation:

(I pulled this out of the comments in case someone else needs this answer. Easier to see as an answer than as comments in the app)

Area 2 is easier, so we’ll start with that one. Area of a rectangle is length x width.

8 x 6 = 48 square cm

Area 1 is a triangle, so the formula is 1/2(base)(height). The height of the triangle is 8, because it’s the same as the base of the rectangle. The base of the triangle is 4, because we can subtract the 6 from the rectangle from the total side length of 10. Does that make sense?

So 1/2 (4)(8)= 1/2(32) = 16 square cm

Then we add 16 + 48 = 64 square cm

Find the measure of the exterior angle.

Answers

the sum of all interior angles must be 180, we know that angle t increases by 10 therefore t is equal to 50° and angle t + 20° is equal to 70°

next we can see that the two angles form a 180° angle meaning the measure of the exterior angle is 180° - 70° or 110°

Use the rule x + 9 to write a sequence. Start with x = 0.
Be sure to write a sequence of at least six numbers, each separated by commas:
0, ___, ___, ___, ___, ___

Answers

Answer:

9, 10, 11, 12, 13, 14, 15

Step-by-step explanation:

0 + 9 = 9

1 + 9 = 10

2 + 9 = 11

3 + 9 = 12

4 + 9 = 13

5 + 9 = 14

6 + 9 = 15

The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.

What is sequence?

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

x + 9

First sequence, Put x = 0

0 + 9 = 9

Second sequence, put x = 1

1 + 9 = 10

Second sequence, put x = 2

2 + 9 = 11

Second sequence, put x = 3

3 + 9 = 12

Second sequence, put x = 4

4 + 9 = 13

Second sequence, put x = 5

5 + 9 = 14

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I would just like some solving steps or the answers.

Answers

Ooooooooooooooooooooh

Prince Ivan rides Grey Wolf at a constant speed from King's Castle to the Magic Apple Garden in 5 hours. On their return trip to King's Castle, Grey Wolf runs at that original constant speed for the first 36 km. Then he runs the rest of the way 3 km/h faster. What was Grey Wolf's original speed if the return trip took 15 minutes less than the trip from King's Castle to the Magic Apple Garden?

Answers

Answer:

48 and 9

Step-by-step explanation:

36/x + 5x-36/x+3 = 5-0.25

Answer:

9 and 48 km/hr

Step-by-step explanation:

The Formula [tex]S=\frac{D}{T}[/tex] along with its variations are used

Let's say for the initial ride, the speed was x. Because the time was 5 hours, the distance was 5x km. Now for the return. For the first part, the speed remains x but our distance is 36km. So, our time is 36/x hours. For the second part, the speed is x+3 but our distance is 5x-36 (The total minus the distance of the first part.) So, our time is [tex]\frac{5x-36}{x+3}[/tex]. Now we have the equation [tex]\frac{36}{x} + \frac{5x-36}{x+3}=5-\frac{1}{4}[/tex] as our times add up to 5 hours minus 1/4 of and hour. Solving, we get x=9, x=48.

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