Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.a.Ron will meet his monthly goal of exactly $4,123 for retirement.b.Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.c.Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.d.Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.

Answers

Answer 1

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

What is Compound interest?

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given monthly income of Ron is $3,142.23

Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) = 0.055/12

time period = 40 years = 480 months

Principal amount = $314.223

Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]

Substitute, we get,

= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

P = (A.i/2)/(1-(1+i/12)⁻ⁿ)

Putting values, we get,

P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰

P = $3763.25

He will receive a monthly income of $3763.25.

But  given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.

So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

For more references on Compound interest, click;

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Related Questions

Subtract 6 1/3 - 2 1/5

Answers

Answer:

4 2/15

Step-by-step explanation:

Convert both fractions to have the same denominator. Find the LCM of 3 and 5 and multiply by what you need to get there. 1x5=5, 3x5=15, so 1/3 becomes 5/15, and 1x3=3, 5x3=15, so 1/5 becomes 3/15. Finally, do normal subtraction, to get 4 2/15.

Select all ratios equivalent to 1:2.
8:16
9:18
4:6
Submit

Answers

Answer:

8:16 and 9:18

Step-by-step explanation:

When looking at 1:2 you can see that 1 + 1 = 2 from this we can easily tell that the answer will be like this. 8 + 8 = 16 and 9 + 9 = 18 but 4 + 4 = 8 and not 6.

In an orchestra, the ratio of trombones to violas is 1 to 3. There are 9 violas. How many trombones are in the orchestra?

Answers

Answer:

3

Step-by-step explanation:

since the ratio is one to 3 there is one trombone for every 3 violas. you can find the answer by doing 9/3=3. so if there are 9 violas there are 3 trombones

Rewrite the 4cm: 8km as a ratio in the form 1: n

Answers

Answer:

1 : 200000

Step-by-step explanation:

4 cm ⇒ 8 km

4 cm ⇒ 8 × 1000m

4cm ⇒ 8000m

4 cm ⇒ 8000 × 100 cm

4 cm ⇒ 800000cm

4 : 800000

[tex]\frac{ 4 \:\::\:\ 800000}{4}[/tex]

1 : 200000

Therefore,

1 : n

1 : 200000

Hope this helps you.

Let me know if you have any other questions :-)

1:2000000000 there



From my calculations that’s the last one

A recipe calls for 15 cup of milk for every 28 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?

Answers

Answer:

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

well if the recipe is 28 cups of flower, and he wants to double it, Then its 56, the milk is extrenuis info.

Hey y’all I don’t understand, can you help me pls ASAP and show steps if u could

Answers

Answer:

(x, y) = (-2, -6)

Step-by-step explanation:

Learn more at https://brainly.com/question/15168004

100 IF U GET THIS RIGHT!

Answers

Answer:

Feeling like an addict that ain't had it, up and at it in a minute

If it hadn't been invented, my limit wouldn't be infinite

I'm feeling like an infant in a womb

I'ma be here 'til the tomb

Lately I've been in my room

Lookin' and lookin' at records on the wall

Hold up

Answer:

Slope:  

7

y-intercept:  

(0,2/5)

Step-by-step explanation:

HELP ASAP ILL GIVE BRAINLIST




Solve for the measure of ∠PMR. Show your work and explain how you got your answer.

Answers

Answer:

  61°

Step-by-step explanation:

We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.

  ∠PMR = 90° -29° = 61°

Solve for
x
x

6
9
=

5

Answers

[tex]x - 69 = - 5 \\ x = - 5 + 69 \\ x = 64[/tex]

- BRAINLIEST answerer

Answer:

64

Step-by-step explanation:

Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?

Answers

Answer:

$125 per month

Step-by-step explanation:

(03.01)
Is the following relation a function? (1 point)
O Yes
O No

Answers

Answer:

No

Step-by-step explanation:

That is not a function because it didn't pass the vertical line test

the equation of a function is y=25- 3x find the value of x when y=34

Answers

y=25-3x
34=25-3x
3x=25-24
3x=1
X=1/3
-3

4x2 + 5x - 3x2 + 2y - 3x + 2y?

Answers

Answer is 2+2x+4y
Have a great day/night

Answer:

2+2=5

Step-by-step explanation:

Suppose that a box contains one fair coin (Heads and Tails are equally likely) and one coin with Heads on each side. Suppose further that someone else selects one of the two coins at random, tosses it three times, and gets the outcome {Heads, Heads, Heads}. In this problem, you will answer the following question in several parts: What is the probability that the chosen coin was the fair coin

Answers

Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Three heads.Event B: Fair coin.

The probability associated with 3 heads are:

[tex]0.5^3 = 0.125[/tex] out of 0.5(fair coin).1 out of 0.5(biased).

Hence:

[tex]P(A) = 0.125 + 0.5 = 0.625[/tex]

The probability of 3 heads and the fair coin is:

[tex]P(A \cap B) = 0.5(0.125) = 0.0625[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0625}{0.625} = 0.1[/tex]

0.1 = 10% probability that the chosen coin was the fair coin.

A similar problem is given at https://brainly.com/question/14398287

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST

Answers

Answer: D (n> 8/ 3 )

I think of a number. I add 3 then divide it by 2. My answer is 12. Form an equation and solve it to find my number.

Answers

Answer:

21

Step-by-step explanation:

21 plus 3 equals 24 divided by 2 equals 12

An item is regularly priced at $27. It is on sale for 35% off the regular price. What would be the sale price?​

Answers

Answer:

$17.55

Step-by-step explanation:

Answer:

17.55

Step-by-step explanation:

You will pay $17.55 for a item with original price of $27 when discounted 35%. In this example, if you buy an item at $27 with 35% discount, you will pay 27 - 9.45 = 17.55 dollars

If C = C(q) is a firm's total cost function, the quantity epsilon_{c} = q/C * (dC)/(dq) is called the elasticity of cost at the output q . Discuss the relationship between marginal cost and average cost for the intervals of being higher and lower than 1 (15 points). epsilon_{c}​

Answers

Answer:

the answer is 5,746 = c

Step-by-step explanation:

uppose a normal distribution has a mean of 16 and a standard deviation of 4. A value of 26 is how many standard deviations away from the mean

Answers

Answer:

2.5 s. d.

Step-by-step explanation:

Use the formula for calculating z scores:

      26 - 16

z = ------------- = 10/4 = 2.5

           4

Here the value 26 is 2.5 standard deviations above the mean (16).

Help plzz
How does robby respond to keith confessing his fear of chickens

Answers

The way that Robby responds to Keith confessing his fear of Chickens is;  by sharing that makes robby uneasy.

What is the message in the text?

From the given text, we see that an aggressive chicken charged towards keith which made him scared that he ran to the gate.

Now, Robby noticed what happened and ran to keith but because he knew he was scared and wasn't easily going to open up his fears to him, he shared with him how he too can't swim in ponds as they make him nervous. He did that to show Keith that everyone has one fear or the other so that he does't feel bad.

Thus, we can say that the way that robby respond to keith confessing his fear of chickens is by sharing with him that also makes him uneasy.

Read more about message in text at; https://brainly.com/question/25904079

suppose another tire is rolled 100 revolutions and travels about 5027 inches what is the radius of this tire NEED THIS ANSWERED

Answers

Answer:

8 in

Step-by-step explanation:

The radius of the tire is 8.00 inches

How to determine the radius?

The given parameters are:

Revolution, r = 100

Distance, d = 5027

Start by calculating the circumference of the tire using:

C = d/r

This gives

C = 5027/100

Evaluate

C = 50.27

The circumerence of a circle is:

C = 2pi r

This gives

2pi r = 50.27

Make r th subject

r = 50.27/2pi

Evaluate the quotient

r = 8.00

Hence, the radius of the tire is 8.00 inches

Read more about circumference at:

https://brainly.com/question/14283575

Help me out I need it

Answers

Answer:

27 Chairs (See below)

Step-by-step explanation:

A: You will put 9 chairs in each row, and have 3 rows.

For a visual example I will use the symbol "O" for the number of chairs.

OOOOOOOOO

OOOOOOOOO

OOOOOOOOO

B: The multiplication problem, using the information 3 Rows, and 9 Chairs in each row, is 9x3

C: The factors are the numbers you are multiplying with, and the product, is your outcome when you multiply the two factors, 9, and 3.

So your answer is 27.

Hope this helps!

10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function? Show your work for full credit!

a.2x
b.2x+2
c.x^2
d.2x^2

Answers

Answer:

B 2x+2 I don't know whether is correct or not

Tim planted a tree that was 0.17 feet tall. After 6 years, the tree was 100 times as tall as when he planted it. what is the height of the tree after 6 years?

Answers

Answer:

17 feet tall

Step-by-step explanation:

0.17 x 100 is 17

there is a sale on a gallon of milk at the grocery store. The original price was $2.99 and the new sale price is $2.49. what is the percentage of decrease on the gallon of milk?round the anwser to the nearest whole percent



pls help

Answers

17 percent because the answer is 16.72 percent but when you round it up you get 17.

How to divide polynomials by long division.

Answers

Answer:

To divide two polynomials, here are the procedures: Arrange both the divisor and dividend in descending order of their degrees. Divide the 1st term of the dividend by the 1 st term of the divisor to obtain the 1st term of the quotient. Find the product of all the terms of the divisor and the 1st term quotient and subtract the dividend's answer. More items...

Step-by-step explanation:


2. Ms.A buys 7 boxes of snacks. Each box has 12 packets of fruit snacks and 18 packets of cashews.
How many snack packets does she buy altogether?

Answers

Answer:  210

Explanation:

Each box has 12 packets of fruit snacks and 18 packets of cashews. That gives 12+18 = 30 packets overall per box. Since we have 7 boxes, that tells us the total count is 7*30 = 210

210
7 times 12 equals 84
7 times 18 equals 126
126 Plus 85 equals 210

Mrs. Reyes purchased nine books for her classroom that each cost $5.63. Using complete sentences, explain how to find the total cost of the books. Make sure your answer includes the steps of the algorithm you would use, as well as the product. HELP PLEASE i'm stuck

Answers

Answer:

5.63 x 9 = 50.67

Mrs. Reyes has spent $50.67 on books.

x²+5x+6, x²+x-6 and x²-9 find hcf​

Answers

Answer:

[tex]x {}^{2} + 5x + 6 \\ {x}^{2} + 3x + 2x + 6 \\ x(x + 3) + 2(x + 3) \\ (x + 3) (x + 2)\\ \\ ( {x}^{2} + x - 6) \\ {x}^{2} + 3x - 2x - 6 \\ x(x + 3) - 2(x + 3) \\ (x - 2)(x + 3) \\ \\ {x}^{2} - 9 \\ (x - 3)(x + 3) \\ \\ the \: hcf \: = (x + 3)[/tex]

this is the very last question I swear :-)

Answers

Answer:

x= (p+10)/5

Step-by-step explanation:

first you take the peaches and add 10, p+10, and then divide by 5

Answer:

(p + 10)/5

Step-by-step explanation:

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