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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What is the value of this expression?
1.5(−2.4+(−5.3))
−11.55
−4.35
4.35
11.55
Answer:
the answer is negative 11.55
Step-by-step explanation:
-2.4+-5.3=-7.7.
7.7(1.5)=-11.55
What would be the dimesions of the pool if the length is 15 feet longer then the width and they put up an 110 feet of fence around the pool
Help ASAP ill give Brainly
PlS HELP ME
NO BOTS PLS
Answer: Use Gauth Math. What is the topic about?
Step-by-step explanation:
Figure out 26 and 27 and get 100 points and I will mark as brainliest
Answer:
Triangle
Area-9 units
Perimeter-9 units
Rectangle
Area- 18
Perimeter- 18
Step-by-step explanation
For the triangle, you first plot the points. Then you find two of the side lengths and multiply them together. After that you divide the result by two. You get the area. You add the sides together for the perimeter. For the rectangle, you have 3 and 6. Multiply to get 18. 3+3+6+6 is also 18.
URGENT HELPP
I need to:
think the difference between what occurred and what you would expect by chance is statistically significant. Explain
Of the 40 students in your mathematics class 35 have the same last name.
Answer:sadddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-step explanation:
ddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
How to reduce decimals to fractions.
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
without looking delores took a handful of multi colored candies from a bag and found that 40% of the candies were yellow. suppose that there are 375 candies in the bag. How many can she expect to be yellow?
Answer:
150
Step-by-step explanation:
Ivan put 500 000ISK (Icelandic Krona) and Blake put 700 000ISK into savings accounts
at different banks.
After 8 years, Ivan and Blake have the same amount of money in their accounts.
They both receive interest compounded quarterly and Blake has an annual interest rate
that is half of Ivan's annual interest rate.
Work out the annual interest rate that Blake receives.
Using compound interest, it is found that Blake receives an annual rate of 4.27%.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.Ivan's parameters are given by:
Put 500 000 ISK, hence [tex]P = 500000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate of r.Hence:
[tex]A_i(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_i(t) = 500000\left(1 + \frac{r}{4}\right)^{32}[/tex]
[tex]A_i(t) = 500000(1 + 0.25r)^{32}[/tex]
Blake's parameters are given by:
Put 700 000 ISK, hence [tex]P = 700000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate that is half of Ivan's, hence [tex]\frac{r}{2}[/tex]Thus:
[tex]A_b(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_b(t) = 700000(1 + 0.125r)^{32}[/tex]
These amounts are equal, hence:
[tex]A_i(t) = A_b(t)[/tex]
[tex]500000(1 + 0.25r)^{32} = 700000(1 + 0.125r)^{32}[/tex]
[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{700000}{500000}[/tex]
[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{7}{5}[/tex]
[tex]\sqrt[32]{\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32}} = \sqrt[32]{\frac{7}{5}}[/tex]
[tex]\frac{1 + 0.25r}{1 + 0.125r} = \left(\frac{7}{5}\right)^{\frac{1}{32}}[/tex]
[tex]\frac{1 + 0.25r}{1 + 0.125r} = 1.01057023172 [/tex]
[tex]1 + 0.25r = 1.01057023172 + 0.12632127896r[/tex]
[tex]0.12367872103r = 0.01057023172 [/tex]
[tex]r = \frac{0.01057023172}{0.12367872103}[/tex]
[tex]r = 0.0854[/tex]
Blake's rate is:
[tex]\frac{r}{2} = \frac{0.0855}{2} = 0.0427[/tex]
Blake receives an annual rate of 4.27%.
A similar problem is given at https://brainly.com/question/24507395
Mika is making a beaded necklace. Each bead is a14inch cube.If the necklace is 18 inches long, how many beads will Mika need?
Answer: The answer is 4
Step-by-step explanation: 2 ( g + 5 ) − 2 ( g + 3 ) = 2 ( g + 5 ) − 2 ( g + 3 )
= 2g + 10 - 2g - 6
= 2g -2g + 10 - 6
= 0 + 4
= 4
Hope this helps!
in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.
Answer:
0
Step-by-step explanation:
if x is 3 then;
3(3-1)=2×3+c
c=0
so if c=0 then
x=3
Find the measure of the indicated angle.
Answer:
11) x = 21
12) x = 110
13) x = 85
14) x = 137
Step-by-step explanation:
Hope it helped <3
A color printer prints 23 pages in 10 minutes. How many minutes does it take per page?
Can someone help:(( graph y=2x
Answer:
Look at the attached screenshot
Step-by-step explanation:
Slope is 2.
Since y-intercept is not given, we can assume that it is 0.
Answer:
Step-by-step explanation:
Make a table of points for y = 2x, and then plot these points, and finallyl draw a line through the points:
x y
0 0
2 4
3 6 (and so on).
Plot this (0, 0) (it's the origin). Next plot either (2, 4) or (3, 6) (or both). Then draw a line through these points.
What is the slope of the line that passes through the points (-6, -8)and (-14, 4) ? Write your answer in simplest form.
Answer:
Slope = -3/2
Step-by-step explanation:
[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]
[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]
-Chetan K
100 POINT!!!!! NEED HELP ASAP
Show that (a + bi)^2 = (a + b)(a − b) + 2abi
Answer:
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
Answer: This is what I turned in and it was right :)
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
Oliver is 6 more than twice as old as Sam. If Oliver is 21 how old is Sam?
Write an equation to represent the situation.
Answer:
7.5
Step-by-step explanation:
Lets give Oliver "O", and Sam "S".
O is 6 more than twice as old as Sam
O = 2S + 6
Since Oliver is 21, we can substitute it in
21 = 2S + 6
2S = 15
S = 7.5
write 3 example of quantities or things you know, or you have experienced within your community that show different types of variation.
Answer:
Type of variation
1) Direct variation
Simple equation y=Kx
Y varies directly with x
Practical example-
Radius of the circle lit by a car's
Light decreases (y) as the distance away from the garage decreases (c)
2) Inverse variation
Simple equation y=k/x
Y inversely with c
Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)
3) Joint variation
Simple equation y=kxz
Y varies jointly with x and z
Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside
Step-by-step explanation:
A seafood restaurant daims an increase of $2,450 over its average profit during a weer where it introduced a special of baked class.
Answer:
Step-by-step explanation:
COPY PASTE I WROTE THE ANSWER ON THERE!!! :)))
find the length of x in the figure below. round your answer to 3 significant figure
Answer:
where is the figure? or tell us the area and width of the figure
Which of the binomials below is a factor of this trinomial?
x² + x -20
O A. X+ 2
O B. X+4
O C. X-4
O D. X-2
Answer:
C. X-4
Step-by-step explanation:
x^2+x-20
=(x-4)(x+5)
Answer:
C.
Step-by-step explanation:
Sorry I Can't explain because I'm busy right now
grace was born in 1995. how old will she be in 2027
Answer:
12
Step-by-step explanation:
2007 - 1995
There were 3 full pizzas sitting on a counter. If Joe ate ¼ of a pie, Rhonda ate ⅜ of a pie, and Chris ate 4 slices, how many slices of pizza were left? (Assume each pie is cut into 8 slices.)
Answer:
15 slices
Step-by-step explanation:
Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.
2+3+4= 9.
there are 3 pizzas divided into 8 slices per pizza.
3 x 8 = 24 ; 24 slices total
subtract 9 (that’s what was consumed) from 24.
24-9 = 15
I hope it helps.
What is the 37th term of the arithmetic sequence with the first term -39 and the common difference of 8.
Answer:
[tex]a_{37}=249[/tex]
Step-by-step explanation:
A sequence that has a common difference is an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, n is the index, and d is the common difference.
In your question:
n = 37a₁ = -39d = 8Plug those into the formula:
[tex]a_{37}=-39+(37-1)8[/tex]
Then solve:
[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]
Find the perimeter. Simplify the answer.
Answer:
34p-16
Step-by-step explanation:
Perimeter of parallelogram
= 2(9p-10)+2(8p+2)
= 18p-20+16p+4
= 34p-16
The seventh grade class is raising money to have a class trip at the end of the year. They began the year with $2,500. Now they have 54.750 in the account. What is the percent increase for the money the
dass has raised? The dass figured out that if there is a percent increase of 99% from the beginning of the year, they will have enough to pay for every student. How much money wil they need to pay for every student?
The percent increase is
They will need to pay for every student?
Answer:
21.6%
Step-by-step explanation:
SOMEONE PLEASE HELP‼️‼️‼️ILL MARK BRAINLYEST ‼️‼️PLEASE ‼️‼️
How is a trapezoid different from a rectangle?
A. It’s is not a closed polygon
B. It has five legs and a diagonal
C. It has one pair of parallel sides
D. It has all pairs of parallel sides
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A can't be right because rectangles and trapezoids are both closed polygons.
B can't be right because both shapes can't even have 5 legs.
C is right because triangles only have one pair of parallel sides and rectangles have two pairs.
D trapezoids don't have two pairs of parallel sides because two sides intersect eventually.
Solve for bb.
42=42+9b
Answer:
0
Step-by-step explanation:
42=42+9b
We move all terms to the left:
42-(42+9b)=0
We add all the numbers together, and all the variables
-(9b+42)+42=0
We get rid of parentheses
-9b-42+42=0
We add all the numbers together, and all the variables
-9b=0
b=0/-9
b=0
The mean age of 5 people in a room is 39 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room?
Answer:
21
Step-by-step explanation:
Mean is the average of the objects
With five people, the mean is the average age of these people so what did you divide 5 into to get 39.
5 × 39 = 195
After a person enter the room, total 6 in the room with a mean of 36.
6 × 36 = 216
Now the age of the person who entered the room 216 - 195 = 21
Please answer this. I need and will give
8i
−8
8i2
−8i
NO LINKS
Answer:
Step-by-step explanation:
x² = -64
= -1 · 64
Using -1 = i²:
x² = 64 · i²
Using 64 = 8²:
x² = 8² · i²
= (8·i)²
Taking the square root of both sides:
x = 8i
The sum of two consecutive even numbers is 54 find the answer
Answer:
26, 28
Step-by-step explanation:
2n , 2n + 2
2n + 2n + 2 = 54
4n + 2 = 54
4n = 52
n = 13
2n = 26
2n + 2 = 28
Answer:
26 and 28Step-by-step explanation:
The sum of two consecutive even numbers is 54 find the answer
(54 - 2) : 2 = 26
26 + 2 = 28
----------------------
check
26 + 28 = 54