9514 1404 393
Answer:
1 solution (x = -36 2/3)
Step-by-step explanation:
6 + x/5 = x/5 - 5 - 3x/10 . . . . . . . given
60 +2x = 2x -50 -3x . . . . . . . . . multiply by 10
3x = -110 . . . . . . . . . . . . . . . . add x-60 to both sides
x = -110/3 = -36 2/3 . . . . . .divide by the coefficient of x
There is one solution to the equation.
_____
Additional comment
The coefficient of x on the left side of the equation is not equal to the coefficient of x on the right side. When that is the case, the equation will have one solution.
When the coefficients are equal, there will be no solutions if the constants are different, and there will be infinite solutions if the constants are the same.
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.
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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Help help math math help help
Answer:no they are not
Step-by-step explanation:
As all angles are 60∘ each and given all sides are equal then it can be said as congruent.
Answer:
no
Step-by-step explanation:
URGENT, WILL GIVE BIG BRAIN OR WHATEVER ITS CALLED LOL
For every 1000 hits a YouTub channel gets it makes £2 from ad revenue. a How many hits are required to make £21?
Answer: 10,500 hits
Step-by-step explanation:
I WANT BIG BRAIN! I WANT BIG BRAIN AHAHHHHHHH!!!!!!!
ok there are a number of ways to go about this
it is unclear whether or not the YT content creator will get one pound for 500 hits
i honestly dont know but i am going to assume it will
1000 times 20 (we are plugging in a test variable, 20, here)
so lets say we have 20,000 hits
lets divide that by 1000 and we get 20. 20 times 2 is 40 pounds so obviously thats too much
lets try 1000 times 10
so we have 10 times 2 and thats 20 pounds. we are closer
10,500 hits
(i put in 500 because half of 1000 is 500 and that will give you one pound instead of two)
Which expression is equivalent to (1/square root y)^-1/5
Answer:
y^(1/10).
Step-by-step explanation:
(1/√y)^-1/5
= (y ^-1/2)^-1/5
= y^(-1/2 * -1/5)
= y^(1/10)
Answer:
Step-by-step explanation:
(1/sqrt(y) )^-1/5 To get rid of the minus, turn the sqrt(y) over.
(sqrt(y))^1/5 Represent the square root of y as y^(1/2)
(y^(1/2))^(1/5) Multiply the powers
y ^ 1/10
Suppose a population is of size N is 1,000,000. Compute the correction factor for the SE of the sample mean, when the sample size, n, is equal to 1,000; 10,000; and 100,000.
Answer:
90081???
Step-by-step explanation:
In the xy-plane, a line crosses the y-axis at the point (2, 2) and passes through
the paint (-3, -13). Which of the following is an equation of the line?
A man is 32 years older than his son ten year ago he was three times as old as his son was then find the present age of each?
What single transformation was applied to quadrilateral A to get quadrilateral B?
A) translation
B) Rotation
C) Reflection
D) Dilation
Answer:
A) Translation
Step-by-step explanation:
Since the triangle didn't turn at all it isn't rotation.
Since the triangle wasn't flipped over a line it isn't reflection.
Since the size of the triangle wasn't changed it isn't dilation.
That leaves translation.
Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.
4. EA ≅ MA
In ΔTAE and ΔTAM,
TE = TM (Given)
∠ETA = ∠MTA (Given)
TA = TA (Common)
∴ ΔTAE ≅ ΔTAM
∴ EA = MA
Hope it helps you....
Please mark as brainlliest
Can someone please help me with this? I will give brainlist :(
Answer:
2nd
Step-by-step explanation:
The second one
3) 21а⁹ - ба⁴
Factor by GCF
[tex] \: \: \: \: \: \: [/tex]
[tex] = 3a ^{4} \times (7 {a}^{5} - 2)[/tex]
Step-by-step explanation:
[tex]21 {a}^{9} - 6 {a}^{4} [/tex]
factor out 3 a⁴ from the expression[tex] = 3 {a}^{4} \times (7 {a}^{5} - 2)[/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
A spherical tank has a circular orifice in its bottom through which the liquid flows out. The following data is collected for the flow rate through the orifice as a function of time:
Hi small cats and cats and dogs have a great experience with the evening of the evening of 6th century the morning of this
Solve
-12 + 23
A. -35
B. -11
C. 11
D. 35
Answer:
C. 11
Step-by-step explanation:
This can be rewritten as
23 - 12
This is equal to 11.
Answer:
11
Step-by-step explanation:
-12 + 23 = 11
since the 12 is negative subtract it from 23 and you get 11 as your answer
What is the remainder of 2021^2022 divided by 337? 30 POINTS PLS HELP!!!!!!!!!!!!!!
Answer:
The remander is 1 hope that helps
Step-by-step explanation:
The remainder is 1 when the expression (2021)²⁰²² is divided by 337.
What is remainder?The amount that remains after division is known as the Remainder. The result of division is a value if a number (dividend) cannot be divided entirely by another number (divisor). The remainder is what is known as this amount.
The given term is,
(2021)²⁰²²
To find the remainder when (2021)²⁰²² is divided by 337,
Firstly, divide 2021 from 337.
The remainder of 2021/337 is 336.
Or the remainder can be written in negative as -1.
So the remainder of (2021)²⁰²² when divided by 337,
(2021)²⁰²²/337 = (-1)²⁰²² = 1
The required remainder of (2021)²⁰²² when divided by 337 is 1.
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what is the slope of the line on the graph
Answer:
(6,0) (-6,0)
Step-by-step explanation:
sorry kung mali pero sana makahelp
Show all work to identify the asymptotes and zero of the function f of x equals 3 x over quantity x squared minus 9.
Answer:
Asymptotes: x = -3, x = 3, y = 0Step-by-step explanation:
Given function:
f(x) = 3x / (x² - 9)Zero of the function:
f(x) = 03x / (x² - 9) = 0x = 0, x ≠ -3; 3Vertical asymptotes:
x² - 9 = 0x² = 9x = √9x = -3; x = 3Horizontal asymptotes:
The horizontal asymptote is y = 0, since the degree of the numerator is 1, while the degree of the denominator is 2.The graph with asymptotes and zero is attached
**PLEASE HELP OMG**
The square below is dilated by a scale factor of 3/2. Find the perimeter of the dilated square.
Answer:
W4 is our new scaled side
Step-by-step explanation:
Look at scale factor like this and it helps everytime so if it doesn’t help you there different methods.
3/2 has a larger number as a numerator so that means that the shape being scaled will get larger and if the number is smaller than denominator then the scaled figure will get smaller :3
In our case it gets bigger
do 16 divided by 2 which gives us 8 then times that by 3 to get 24
now thats how I solved this problem but if that not how you did it then you can do it your way :3
HOOE THIS HEEELPPED :DDD
i dont know this question i will give you brainly
Answer:
11z/4+3/10
Step-by-step explanation:
Distribute first then combine like terms.
nesesito ayuda ..........4c`````````````````````````````````````````````````````z#DRsw
Answer: ???
Step-by-step explanation:
Determine whether each sequence is an arithmetic sequence.
a. 3, 6, 12, 24 … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
b. 1.5, 4.5, 7.5, 10.5, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
c. 8, 10, 12, 14, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
d. 9, 5, 1, –3 … [ A. Arithmetic Sequence, B. Not an Arithmetic Sequence ]
e. –2, 8, –18, 28, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
Answer:
a) A. Arithmetic Sequence
b) A. Arithmetic Sequence
c) A. Arithmetic Sequence
d) A. Arithmetic Sequence
e) B. Not an arithmetic Sequence
Step-by-step explanation:
if there is a common difference it is arithmetic, if there not then it is not arithmetic.
a) d= 3
b)d=3
c)d=2
d)d=-4
e)not arithmetic
the book is sold for 5.4 dollars at a profit of 8% on the cost price what was the cost price
please help
Answer:
5.4*0.08=0.432 or
43 cents
Hope This Helps!!!
Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs
Answer:
Step-by-step explanation:
a maximum or minimum occurs where the derivative equals zero
f(x) = -2x² + 14x - 10
f'(x) = -4x + 14
0 = -4x + 14
4x = 14
x = 3.5
f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5
An Olympic-size swimming pool is 50 meters long. How many yards long is
the pool, to the nearest tenth of a yard?
Answer:
10.9
Step-by-step explanation:
Answer:
54.7 yards
Step-by-step explanation:
1 meter = 1.094 yards
50 meters = 54.7 yards
Given: f(x)= 3x-7 for x>0
f(x)=-2x+3 for x<0
Find: f(6)
Answers:
11
-9
-3
-18
Given :
f(x) = 3x-7 , when x>0
and f(x) = -2x+3 x<0
as 6 is greater than 0, we get that :
f(6) = 3(6)-7
=> f(6) = 18-7
=> f(6) = 11
hence, option a) is correct
The value of f(6) is 11 using the equation f(x)= 3x-7.
To find the value of f(6), we need to determine which condition applies to x = 6. Since x = 6 is greater than 0, we will use the equation f(x) = 3x - 7.
Substituting x = 6 into the equation:
f(6) = 3(6) - 7
f(6) = 18 - 7
f(6) = 11
Therefore, the value of f(6) is 11.
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sets if 98% of households have at least one television set and 4 households are selected, find the probability that at least one household has a television set.
Using the binomial distribution, it is found that there is a 0.99999984 = 99.999984% probability that at least one household has a television set.
For each household, there are only two possible outcomes, either it has at least one television set, or it does not. The probability of a household having at least one television set is independent of any other household, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
4 households are selected, hence [tex]n = 4[/tex].98% have at least one television set, hence [tex]p = 0.98[/tex]The probability that at least one household has a television set is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.98)^{0}.(0.02)^{4} = 0.00000016[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.00000016 = 0.99999984 [/tex]
0.99999984 = 99.999984% probability that at least one household has a television set.
A similar problem is given at https://brainly.com/question/24863377
if k=6 what is the value of 7k-2
Answer:
7x6-2=40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
7k -2 =
7(6) - 2
42 -2
40
You are welcome!
Kayden Kohl
8th Grade Student
Which of the following is not one of Garner’s Theory of Multiple Intelligences?
Question 4 options:
Linguistic intelligence
Interpersonal intelligence
Muscular intelligence
Answer:
I would say muscular
Step-by-step explanation:
none of these are really wrong, but muscular intelligence should be bodily intelligence
What is 50% of 35 like simplified
Answer:
It can't get more simple than that (*nose growing*)
Step-by-step explanation:
50% of 35 means 35 is 100% right? 50 is half of 100. So 50% of 35 will be half of 35, agree? So you multiply by crossing
35 = 100%
x = 50%
100 * x = 35 * 50 (do this math, you can multiply 35 by 5 then add 0)
100x = 1750
x = 1750 / 100
x = 17,5
Is 17,5 half of 35? You could have also done 35 / 2. It would be the same result because 50% is an easy percentage to work with.
What is the cardinal number of the set S={all letters contained within the word BALLADEER}?
Answer:
6
Step-by-step explanation:
sets cannot have repeated elements. So this set only has the letters B, A, L, D, E, R which means the cardinality is 6
What would be the next number in this series? 135 45 180 60 240 80
Answer:
135/45 =3
180=45 multiple by 4
180/60=3
240=60 multiple by 4
It is divide.by 3 and multiply by 4
hence =80 multiply 4= 320