We have that for the Question, it can be said that
The amount of money Janine will have to accumulate in her company’s 401(k) plan over the next 40 years is
$ 766377.4
From the question we are told
Janine is 25 and has a good job at a biotechnology company.
Janine estimates that she will need $875,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $20,000 a year. (She expects that Social Security will pay her an additional $15,000 a year.) She currently has $5,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 8 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company’s 401(k) plan over the next 40 years in order to reach her retirement income goal? Use Exhibit 1-A.
IRA Sum = $ 5000 Growth ratio of IRA= 8%Growth period = 40 years
Generally the equation for the IRA Amount at Retirement is mathematically given as
IAR= 5000 * 1.08^(40)
= 108622.6
Since estimate is at
$875,000
Therefore
Accumulation in 401,000 = 875000 - 108622.6
Accumulation in 401,000 = 766377.4
Hence
The amount of money Janine will have to accumulate in her company’s 401(k) plan over the next 40 years is
$ 766377.4
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Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.
Leave your answer in the form y=mx+c
9514 1404 393
Answer:
y = 2x -5
Step-by-step explanation:
The parallel line will differ only in the value of c. That can be found using the given point.
y = mx +c
c = y -mx . . . . . . subtract mx to solve for c
c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)
The equation of the parallel line is ...
y = 2x -5
Does anyone know the answer to this? Please help
Find the slope of the line that passes through the following points E(4,1 2/3) and F (-2, 2/3)
Caroline opens a savings account at her local
bank. She plans to put of her net paycheck
10
in her savings account every week. In June, her
paychecks are $164.69, $177.86, $187.74,
and $163.04. How much money did Caroline
put in her savings account in June?
Answer:
So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account
Step-by-step explanation:
How do I do i’m not sure
[tex](a)\\\\m=6.1\times 10^{-5},~~ t=1.7 \times 10^{-6} \\G = \sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{6.1\times 10^{-5}}{\left(1.7 \times 10^{-6}\right)^2} } ~=4590\\\\\\(b)\\\\m=6.1\times 10^{-5}(1+ 8\%) = 6.1\times 10^{-5}(1+0.08) = 0.0000648\\\\t=1.7\times 10^{-6}(1+ 5\%)= 1.7\times 10^{-6}(1+0.05) =0.000001785\\\\\\G=\sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{0.0000648}{(0.000001785)^2}}=4510[/tex]
Pleaseeeeee helpppppppppppp
Solve the inequality for u 20>u+8
Answer:
u < 12
Step-by-step explanation:
20 > u + 8 ( subtract 8 from both sides )
12 > u , then
u < 12
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!
We can solve this equation in one step, which is Algebra, I'll start solving the problem now.
Algebra
We can start by simplifying the problem, [tex]20>u+8[/tex], we can subtract by 8 on each side to simplify the equation. I'll explain why afterwards.
[tex]20>u+8\\12>u[/tex]
As you can see we've subtracted by 8 on both sides, the reason this works is because when we do something to one side, we must do it to the other, which keeps the equation balanced.
We can prove this works by picking a random number for [tex]u[/tex] from our simplified version. For this case, lets pick 11.
We can see that if we plug it in to the first unsimplified equation, it works perfectly fine:
[tex]20>11+8?\\20>19[/tex]
We've proven that its correct.
So our final answer is [tex]u<12[/tex].
Cheers!
Pls help need asap thx!
Answer: C
Step-by-step explanation: it has to go like this a m
The circle below represents one whole . …. What percent is represented by the shaded area ?
Answer:
50%
Step-by-step explanation:
because the whole circle is 100% and half of it is shaded
so.... 50%
what is the correct order of reasons to complete the proof??
Answer: Choice B
I, I, V, II
======================================================
Explanation:
When doing any proofs, we always repeat what is given to us. In this case, the given statements are
QT = RSQS = RTIt seems weirdly redundant to repeat these statements back to the teacher, but this is how all proofs start off. You state what is given and the reason is simply "given". So far the answer is narrowed down to choice B or choice C, due to the "statement I" listed twice like that.
From those statements, we build toward what we want to prove. Those two given statements tell us we have two pairs of congruent sides. If we could prove a third pair of sides are congruent, then we can use SSS which stands for "side side side". It turns out that we are more or less automatically given the third pair of sides in the form QR = QR, which is true by the reflexive property. This property says that any segment is congruent to itself. So we'll have statement V listed after statement I twice. The sequence so far is I, I, V. At this point, we can conclude that choice B must be the final answer. Sure enough, statement II involves SSS just like mentioned earlier.
evaluate the expression 5+3
some one answer me with a question not a link
Answer:
8
Step-by-step explanation:
Add 5 and 3
-Lexi
consider the line y= -9x + 5
Answer:
x= 5/9
Step-by-step explanation:
y=-9x+5
0=-9x+5
9x=5
x=5/9
Which of the following Venn diagram represents two sets with no common elements?
The Venn Diagram B, C and D, all represents two sets with common elements.
In B, the circle F is inside the circle G, so F share all of its elements with G. It is like a baby inside the belly of her mother :)
In C, F and G circles intersect and the intersection is their common space, and
the D is like the B.
But A reprents two sets F and G with no common elements. So the answer is A.
Good Luck
What is the value for x if 2x+3=20 that makes the equation true
Answer:
x = 8.5
Step-by-step explanation:
2x+3=20
2x = 17...........subtract 3 from both sides
x = 8.5............divide both sides by 2
2. If (2, 3) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the inverse
of F(x)?
Answer Choices:
(3, 2)
(-2,-3)
(2,3)
(-3,-2)
Answer:
Inverse: (3, 2)
Step-by-step explanation:
Given the point, (2, 3), as an ordered pair of the function, f(x):
Since we know that for any functions, there is a one-to-one correspondence between each domain and range values. Conversely, each range value also corresponds to one domain value.
The inverse of a function, [tex]f^{-1}(x)[/tex], also has a one-to-one correspondence. Simply put, we are essentially switching the x and y values to determine the inverse of a function.
Therefore, given the ordered pair from f(x) = (2, 3), then the corresponding coordinates in the inverse function, [tex]f^{-1}(x)[/tex], must be (3, 2).
Roberto bikes for 5.2 hours and covers a distance of 49.4 miles. Eileen bikes for 2.5 hours and covers a distance of 20.5 miles.
Assuming both Roberto and Eileen bike at a constant speed, who was biking faster and by how much? Select from the drop down menus to correctly answer the question. Choose... bikes faster than Choose... by Choose... mi/h.
Answer:
Roberto bikes faster than Eileen by 1.3 mi/h
Step-by-step explanation:
Roberto bikes at 49.4/5.2=9.5 mi/h
Eileen bikes at 20.5/2.5=8.2 mi/h
9.5-8.2=1.3
So Roberto bikes faster than Eileen by 1.3 mi/h
4. When you _________ the problem, it makes it easier to understand how you solved it.
Answer:
When you explain the problem, it makes it easier to understand how you solved it.
I hope this helped at all.
The 95% confidence interval is from __ to __?
Answer:
The 95% confidence interval is from 0.5 to 0.027?
Step-by-step explanation: hope that helps :)
Answer:
The 95% confidence interval is from 00.19 to 0.6?
Please help do this
Answer:
1)m+5q=1+5x5 =262)(y-x^3)=3-1^3 =3-1 =23)q(p+2)=3(3+2) =3(5) =154)y+y-x=5+5-6 =10-6 =45)(z+y)÷6=6+6÷6 =26)h(j-h)=3(6-3) = 3x3=97)x+y+y = 5+2+2=98)z^2-y =9-4=59)b(4+a)=2(4+6) =2x10 =2010)m-n+m =5-1+5 = 4+5 =911)(h+j)÷6 = (2+4)÷6 = 1mark as brainliast plzSecondary succession occurs following triggers such as logging, mining, wildfires, or
drought. The presence of soil nutrients allows for a faster recovery.
Hardwood trees
Pine trees
Perennials
and
grasses
Shrubs
Answer:7777
Step-by-step explanation:
Express these ratios in their simplest form.
A class has 5 girls and 8 boys. What is the ratio of girls to the total number of students?
BRAINLIEST**
Answer:
5:13
Step-by-step explanation:
The total number of students = 5+8 = 13
A ___ is a way of expressing a number as a fraction of 100
grade 5
Answer:
Percentage is the answer
Solve this system using the substitution method: 9x – 2y = 4; 3x – 5 = y
Which value of x would make the following matrix singular?
5 x
3 6
Answer: 10
Explanation:
(30)-(30)= 0
Singular matrices must equal 0
(Correct on my quiz)
The value of x would make the following matrix singular is 10
Matrices of a functionFor a matrix to be singular, the determinant of the matrix must be zero.
For the given 2 by 2 matrix, for the matrix to be a singular matrix then, its determinant must be zero as shown;
(5* 6) - (3 * x) = 0
30 - 3x = 0
3x = 30
x = 10
Hence the value of x would make the following matrix singular is 10
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change the following numbers to decimals and round to the nearest hundredth 3÷4 and ✔10
Answer:
0.75 and 10.00
Step-by-step explanation:
domain and range of y = x/(x+4)
Answer:
Step-by-step explanation:
[tex]y=\frac{x}{x+4}[/tex]
for domain x+4≠0
x≠-4
domain={R-{-4}}
R=all real numbers.
y(x+4)=x
yx+4y=x
yx-x=-4y
x(y-1)=-4y
[tex]x=-\frac{4y}{y+1} \\y+1\neq 0\\y\neq -1\\[/tex]
so Range ={R-{-1}}
Help help help please 2 more questions please please
it is first dilated by 4 and then reflected across the y-axis
A large Internet provider conducted a survey of its customers. One question that it asked was how many e-mail messages the respondent had received the previous day. The mean number was 13.2. A. What is the research question of interest for this survey
Answer:
Glee
Step-by-step explanation:
Show all your working.
2
3
Income tax
Everyone can earn a certain amount of money without paying tax. This
is called a Personal Allowance. They must pay tax on any earnings
over this allowance.
4
5
6
£11 850
Income tax Personal Allowance, 2018/2019
7
8
This formula gives the amount of Income tax a person pays in a year
T = 0.2 (y-p)
9
10
where T = income tax for the year
y = money earned per year
p = Personal Allowance
11
12
13
14
15
A caterer earns £1375 per month.
Answer:
The gravitational force acting between the two bodies is given by:
F=G
r
2
m
1
m
2
G=
m
1
m
2
Fr
2
The dimension of the force is [MLT
−2
]
=
[M][M]
[MLT
−2
][L
2
]
=M
−1
L
3
T
−2
Leah can build a brick wall in 7 hours, while her apprentice can do the job in 10 hours. How long does it take for them to build a wall together
Answer:
70/17 hours or 4 2/17 hours
Step-by-step explanation:
The equation we use is 1/7 + 1/10 = 1/x, x being the time it took them together to build. x works out to 70/17 hours
Leah and her apprentice can build the wall together in 4 2/17 hours
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Hours required by Leah to build a wall = 7 hours
So , Leah builds ( 1/7 )th of the wall per hour
Hours required by apprentice to build a wall = 10 hours
So , Apprentice builds ( 1/10 )th of the wall per hour
When they are both building the wall together , they build
( 1/7 )th + ( 1/10 )th of the wall together per hour = 1 / x
Therefore , the equation will be
1/x = 1/7 + 1/10
1/x = 17 / 70
Taking reciprocal on both sides , we get
x = 70/17
x = 4 2/17 hours
Hence , Leah and her apprentice can build a wall together in 4 2/17 hours
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