Answers
Answer:
A. 20
Step-by-step explanation:
1. To solve this problem, instead of doing 80/100 times 16, we can do 100/80 times 16 (inverse of percentage, basically).
[tex]\frac{100}{80} *16[/tex] [tex]\frac{5}{4} *16[/tex] [tex]\frac{80}{4}[/tex] [tex]20[/tex]Therefore, the answer is A. 20.
Related Questions
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.
Answers
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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Hai has 1 gallon jug of water. He drinks 1/8 gallons of water before lunch and 2/3 gallons of water after lunch. How much water did Hai drink all day?
Answers
Hai drink 11/24 gallons of water in all day
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Hai has 1 gallon jug of water.
Drinks 1/8 gallons of water before lunch
2/3 gallons of water after lunch.
We need to find how much water did Hai drink all day.
Now we have to add the water he drink.
1/8+2/3
LCM of 8 and 3
3+8/24
11/24
Hence, he drink 11/24 gallons of water in all day.
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Given: f(x)= 3x-7 for x>0
f(x)=-2x+3 for x<0
Find: f(6)
Answers:
11
-9
-3
-18
Answers
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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the book is sold for 5.4 dollars at a profit of 8% on the cost price what was the cost price
please help
Answers
Answer:
5.4*0.08=0.432 or
43 cents
Hope This Helps!!!
whats the answer can someone answer please
Answers
Answer:
Step-by-step explanation:
21.
4(x + 7) - 2x
4x + 28 - 2x
2x + 28
answer: 2x + 28
22.
8(a + b) + 5(2a - 5b)
8a + 8b + 10a - 25b
18a - 17b
answer: 18a - 17b
-------------------------------------
Jhon's solution is wrong
1. first mistake
when you see this
10^5/10^4
the right solution is 10^(5 - 4) = 10^1 or just 10
2. second mistake
6.4/7.2 he inverted the fraction which is wrong
you can only invert the fraction when the power is negative
----------------------------------------------------------
now the correct answer is 6.4/7.2 x 10^5/10^4 = 0.88888888888888888888888888888889 x 10
or 0.9 x 10^1
or 8.9
Show all work to identify the asymptotes and zero of the function f of x equals 3 x over quantity x squared minus 9.
Answers
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
Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.
Answers
4. EA ≅ MA
In ΔTAE and ΔTAM,
TE = TM (Given)
∠ETA = ∠MTA (Given)
TA = TA (Common)
∴ ΔTAE ≅ ΔTAM
∴ EA = MA
Hope it helps you....
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If an amount of $25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $28,500? The function describing your balance is M(n) =25,000(1+0.04/2)^2n, where n is time in years. 20 points and WILL GIVE BRAINLIEST!
Answers
It will take 3.3 years to accumulate $28,500 on this account
According to the compound amount formula expressed as:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P is the principal = $25,000
A is the amount = $28,500
r is the rate in decimal = 4% = 0.04
n = 2 (semi annualy)
Substitute the given parameters into the formula as shown:
[tex]28,500=25,000(1+\frac{0.04}{2} )^{2t}\\1.14=(1+0.02)^{2t}\\1.14 = (1.02)^{2t}\\ln1.14 = 2tln1.02\\2t=\frac{ln1.14}{ln1.02}\\2t= \frac{0.13103}{0.01980}\\2t= 6.6177\\t = 3.30yrs[/tex]
Hence it will take 3.3 years to accumulate $28,500 on this account
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What would be the next number in this series? 135 45 180 60 240 80
Answers
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
Which of the following is not one of Garner’s Theory of Multiple Intelligences?
Question 4 options:
Linguistic intelligence
Interpersonal intelligence
Muscular intelligence
Answers
Answer:
I would say muscular
Step-by-step explanation:
none of these are really wrong, but muscular intelligence should be bodily intelligence
Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs
Answers
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
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 ]
Answers
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
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.
Answers
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.
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why is upendrakishore roy chouwdhury remembered
Answers
Answer:
Upendrakishore Roy Chowdhury; 12 May 1863 – 20 December 1915) was a Bengali writer and painter. He was the first person who introduced the colour printing in bangal. He started the first color children's magazine Sandesh in 1913.
Step-by-step explanation:
history ig
What is the polar form of -9-9i sq root 3
Answers
Answer:
The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.
The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.
The polar form of Complex NumbersThe polar form of a complex number is a different way to represent a complex number apart from the rectangular form. Usually, we represent the complex numbers, in the form of z = x+iy where 'i' is the imaginary number.
But in polar form, the complex numbers are represented as the combination of modulus and argument.
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A candle factory makes colored candles to sell in packages. Which of the following situations best represents a proportional relationship?
Answers
Answer:
D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.
Step-by-step explanation:
8/1 is proportional to 144/18
In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.
Given that, a candle factory makes colored candles to sell in packages.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
A) Does not a represents a proportional relationship
B) Does not a represents a proportional relationship
C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.
Here, the number of packages increases, the cost also increases. So, it is direct proportion.
D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.
Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.
In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.
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what is the slope of the line on the graph
Answers
Answer:
(6,0) (-6,0)
Step-by-step explanation:
sorry kung mali pero sana makahelp
What single transformation was applied to quadrilateral A to get quadrilateral B?
A) translation
B) Rotation
C) Reflection
D) Dilation
Answers
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.
Solve
-12 + 23
A. -35
B. -11
C. 11
D. 35
Answers
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
A circular garden has a diameter of 10 feet approximately how much edging trim is needed to surround the garden by placing the trim all along the gardens circumference
Answers
The amount of edging trim needed will be equal to the circumference of the given circle, so it will be 31.4ft
We know that the circumference of a circle of diameter D is given by:
C = 3.14*D
Here, we have a circular garden with a diameter of 10ft, and we want to place edging trim along its circumference, so the amount of edging trim that we need is given by:
C = 3.14*10ft = 31.4 ft
You need 31.4ft of edging trim to surround the garden by placing the trim all along the garden's circumference.
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Faktor dari bilangan 18 adalah....
Answers
Step-by-step explanation:
1 x 18, 2 x 9, dan 3 x 6. Jadi, faktor dari 18 adalah 1, 2, 3, 6, 9, dan 18.
find the value of (-7/10)(2/5)
Answers
Answer:
the answer to (-7/10)(2/5) is -7/25.
or if you need decimal form it is -0.28
Step-by-step explanation:
An Olympic-size swimming pool is 50 meters long. How many yards long is
the pool, to the nearest tenth of a yard?
Answers
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
3) 21а⁹ - ба⁴
Factor by GCF
Answers
[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]
Simplify the expression. w+w+5w
Answers
Answer:
w+w+5w = 7w
Step-by-step explanation:
Answer:
7w
Step-by-step explanation:
In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the estimated standard
error.
Answers
From the information given, and applying the formula, it is found that the standard error of the difference in proportion of smokers by sex is 0.0558.
The proportion and the standard error for each sample are given by:
[tex]p_W = 0.25, s_W = \sqrt{\frac{0.25(0.75)}{120}} = 0.0395[/tex]
[tex]p_M = 0.37, s_M = \sqrt{\frac{0.37(0.63)}{150}} = 0.0394[/tex]
The standard error of the difference in proportions is the square root of the sum of the standard error for each sample squared, hence:
[tex]s = \sqrt{s_W^2 + s_M^2} = \sqrt{0.0395^2 + 0.0394^2} = 0.0558[/tex]
Hence, the standard error is of 0.0558.
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If a ≠ 0 and b ≠ 0 which of the following is equivalent to 2/3a 1/b?
Answers
Answer:
58
Step-by-step explanation:
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.
Answers
Answer:
90081???
Step-by-step explanation:
How many odd numbers from 2000 and 6666 (including 2000 and 6666 itself) that all the numbers are different?
Answers
Answer:
That's is not Different
Step-by-step explanation:
Including to 2000 and 6666 itself is not Different
That is not different
**PLEASE HELP OMG**
The square below is dilated by a scale factor of 3/2. Find the perimeter of the dilated square.
Answers
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