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.
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How to divide polynomials by long division.
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:
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?
Answer:
$125 per month
Step-by-step explanation:
Hey y’all I don’t understand, can you help me pls ASAP and show steps if u could
Answer:
(x, y) = (-2, -6)
Step-by-step explanation:
Learn more at https://brainly.com/question/15168004
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?
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
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.
Answer:
21
Step-by-step explanation:
21 plus 3 equals 24 divided by 2 equals 12
the equation of a function is y=25- 3x find the value of x when y=34
(03.01)
Is the following relation a function? (1 point)
O Yes
O No
Answer:
No
Step-by-step explanation:
That is not a function because it didn't pass the vertical line test
Solve for
x
x
−
6
9
=
−
5
- BRAINLIEST answerer
Answer:
64
Step-by-step explanation:
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
Answer:
5.63 x 9 = 50.67
Mrs. Reyes has spent $50.67 on books.
this is the very last question I swear :-)
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:
suppose another tire is rolled 100 revolutions and travels about 5027 inches what is the radius of this tire NEED THIS ANSWERED
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:
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4x2 + 5x - 3x2 + 2y - 3x + 2y?
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
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
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}
Answer:
the answer is 5,746 = c
Step-by-step explanation:
Subtract 6 1/3 - 2 1/5
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.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Answer: D (n> 8/ 3 )
HELP ASAP ILL GIVE BRAINLIST
Solve for the measure of ∠PMR. Show your work and explain how you got your answer.
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°
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
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).
100 IF U GET THIS RIGHT!
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:
x²+5x+6, x²+x-6 and x²-9 find hcf
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]
Rewrite the 4cm: 8km as a ratio in the form 1: n
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 :-)
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
Answer:
B 2x+2 I don't know whether is correct or not
Help me out I need it
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!
Select all ratios equivalent to 1:2.
8:16
9:18
4:6
Submit
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.
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?
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.
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?
Answer:
17 feet tall
Step-by-step explanation:
0.17 x 100 is 17
An item is regularly priced at $27. It is on sale for 35% off the regular price. What would be the sale price?
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
Help plzz
How does robby respond to keith confessing his fear of chickens
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
In an orchestra, the ratio of trombones to violas is 1 to 3. There are 9 violas. How many trombones are in the orchestra?
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
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
17 percent because the answer is 16.72 percent but when you round it up you get 17.