Answer:
The correct option is a. Amy’s balance would be greater than Hank’s in the end.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?
a. Amy’s balance would be greater than Hank’s in the end.
b. Amy’s balance is $5,142 and Hank’s balance is $3,207.
c. Hank’s balance would be greater than Amy’s in the end.
d. The investment and balance would be the same.
e. None of these are true
The explanation to the answer is now given as follows:
The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (1)
Where;
For Amy:
FV = Future value or balance in the end = ?
M = Monthly investment = $500
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 40 years * 12 months = 480
Substituting the values into equation (1), we have:
FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)
FV = $500 * 1,991.49
FV = $995,745.37
Therefore, Amy’s balance would be $995,745.37 in the end.
For Hank:
FV = Future value or balance in the end = ?
M = Monthly investment = $1,000
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 20 years * 12 months = 240
Substituting the values into equation (1), we have:
FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)
FV = $1,000 * 462.04
FV = $462,040.90
Therefore, Hank’s balance would be $462,040.90 in the end.
Conclusion
Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.
WILL MARK AS BRAINLIEST!!!!!
Let a=(-7,3) and b=(-2,-12), and c=a+b. What is the magnitude and direction angle of c?
A. |c|=18; theta=135°
B. |c|=18; theta=225°
C. |c|=9sqrt2; theta=135°
D. |c|=9sqrt2; theta=225°
Answer:
D is correct
Step-by-step explanation:
I got it right on my edge math unit test review.
The value of |c| = 9√2 and θ = 225⁰
What is Magnitude?The magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind.
Here, given values;
a = (-7, 3) and b = (-2, -12)
Now, c = a + b
c = (-7, 3) + (-2, -12)
c = (-9, -9)
Now, |c| = √(9²+9²)
|c| = 9√2
Now, tan θ = |y/x|
tan θ = |-9/-9|
tan θ = 1
tan θ = tan 225⁰
θ = 225⁰
Thus, the value of |c| = 9√2 and θ = 225⁰
Learn more about Magnitude from:
https://brainly.com/question/15681399
#SPJ2
Raju bought a book for Rs.35.65. He gave Rs.50 to the shopkeeper. How much money did he get back from the shopkeeper?
I Hope this helps u out
Which statement correctly describes the relationship represented by the graph?
A.
The relationship is linear and proportional.
B.
The relationship is linear and non-proportional.
C.
The relationship is non-linear and proportional.
D.
The relationship is non-linear and non-proportional.
Answer: A
Step-by-step explanation: The line is linear as it changes at a constant rate which means it’s also proportional as proportional means as x changed so does y.
Which dot plot represents the data in the table?
Answer:
picturr is not visible to me
Whoever does will get brainiest. And extra points
A person can walk at a rate of 2 ½ miles per hour. How long would it take the person to walk 10 miles? *
1 point
15 minutes
4 hours
10 hours
25 hours
2. A certain map uses a scale of 1 inch equals 25 miles. How many miles are represented by 5 inches on this map? *
1 point
5
25
50
125
3. A company makes 5 blue cars for every 3 white cars it makes. If the company makes 15 white cars in one day, how many blue cars will it make? *
1 point
9
13
17
25
4. Miranda enlarged a picture proportionally. Her original picture is 4cm wide and 6 cm long. If the new, larger picture is 10 cm wide, what is its length? *
1 point
8 cm
12 cm
15 cm
20 cm
5. The practice range at a golf course charges $4.00 for a bucket of 40 golf balls. At this rate, how much will a bucket of 100 golf balls cost? *
1 point
$10.00
$10.50
$13.50
$16.00
6. A model of a park was built on a scale of 1.5 cm to 50 m. If the distance between two trees in the park is 150m, what is this distance on the model? *
1 point
0.5 cm
4.5 cm
75 cm
225 cm
7. Jerry read a 200 page book in 10 hours. At that rate, how long will it take him to read a 320 page book? *
1 point
16 hours
18 hours
24 hours
32 hours
What is 5/8 divided by 4/3
Answer:
15/32
Step-by-step explanation:
Victor wants to conduct a survey to find how much time the students of his school spent playing football. Which of the following is an appropriate statistical question for this survey? Who plays football on weekends? Who plays football the most on Mondays? How many hours per week do you play football? How many students play football for one hour every day?
Answer:
The question "How many hours per week do you play football" is most appropriate.
Step-by-step explanation:
He is trying to find how much time students play football so this question will help him get the data of how many hours they play.
Answer:
The answer is "How many hours per week do you play football?"Step-by-step explanation:
We can figure out that "How many hours per week do you play football?" is the answer because the question is asking of you "Which of the following is an appropriate statistical question for this survey?" the key words in question is "statistical, and appropriate". For the first half of the question it's telling you "Victor wants to conduct a survey to find how much time the students of his school spent playing football." The key words in this first half of the question is "how, much, time, and spent" the answer that says "How many hours per week do you play football?" Has the key words "how, many, hours, per week" these key words it's equal to the key words in the second half of the question "How=How, Many=Many, Hours=Time Per Week=The Time Spent".
So the answer would be "How many hours per week do you play football?".On a field trip, there are 2 girls for every 3 boys.
If there are 20 kids total, how many girls are there?
6^3x=14 Show your work
Answer:
Is 3x supposed to be an exponent?
Step-by-step explanation:
Both possible answer are provided
3x as an exponent and as 6 times 3x
Hardest question ever what is 2 + fish =
Simplify the expression using the order of operations.
(8+62)11+7×2
Answer: 784
Step-by-step explanation:
Answer:
the answer is equal to 2,520
For Normal distribution with mean u 400
and standard deviation o = 100 find probability
that x is less than 535: P(x < 535)
Answer:
Step-by-step explanation:
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or exce:
answer
are there sample worksheets for accounting
The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2629 raffle tickets at $5 per ticket. (a) Kevin bought forty-one tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean
Answer: the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
Step-by-step explanation:
Given that;
the total number of raffle ticket sold by the student is 2629
Kevin bought 41 tickets
the probability that Kevin will win the spring break cruise to the Caribbean?
The required probability will be:
Probability
=(Number of favorable outcomes for an Event) / (Total Number of outcome)
so
probability = 41 / 2629
= 0.01559
Therefore the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
Identify the following numerical values:
The average height of 10 plants grown with rain water in a study of the effects of all
plants grown with rain water.
Answer:
THE CORRECT ANSWER IS STATISTIC
Step-by-step explananation:
I TRUSTED THE DUDE WHO SAID PARAMETER AND I GOT THE QUESTION WRONG
edit: im pretty sure the answer that said parameter was deleted. Nice!
Write an equation in slope-intercept form of the line perpendicular to the given line that contains D
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 1600 miles. What warranty should the company use if they want 94% of the tires to outlast the warranty?
Answer:
The warranty the company should use is of 57,520 mile.
Step-by-step explanation:
Let X denote the tread life of a particular brand of tire.
It is provided that, [tex]X\sim N(60,000, 1600^{2})[/tex].
Also provided that the company wants 94% of the tires to outlast the warranty.
Let x denote the warranty .
That is, P (X > x) = 0.94.
⇒ P (X < x) = 0.06
⇒ P (Z < z) = 0.06
The corresponding value of z is -1.55.
*Use a z-table.
Compute the value of x as follows:
[tex]z=\frac{X-\mu}{\sigma}\\\\-1.55=\frac{x-60000}{1600}\\\\x=60000-(1.55\times 1600)\\\\x=57520[/tex]
Thus, the warranty the company should use is of 57,520 mile.
Factor 15x-10x^3
PLEASE ASNWER ASAP
Answer:
[tex]\huge\boxed{\sf 5x(3-2x^2)}[/tex]
Step-by-step explanation:
[tex]\sf 15x-10x^3\\\\Greatest Common Factor = 5x\\\\So, We'll \ take \ 5x \ common\\\\= 5x ( 3-2x^2)\\\\Thus, this \ is \ the \ factorized\ form\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807A sample of 5 months of sales data provided the following information:
Month 1 2 3 4 5
Units Sold 97 120 88 97 93
Required:
a. Develop a point estimate of the population mean number of units sold per month (to 1 decimal).
b. Develop a point estimate of the population standard deviation (to 2 decimals).
Answer:
a. 99
b. 12.31
Step-by-step explanation:
a. Estimate of the population mean number of units sold per month
n = Number of Data Values = 5
Sum of Data Values = Σxi =97 + 120 + 88 + 97 + 93 = 495
Sample Mean = X = Σxi/n = 495 / 5 = 99
The population mean number of units sold per month is 99
b. Estimate of the population standard deviation
Month Data (x) X x - X (x - X)^2
1 97 99 -2 4
2 120 99 21 441
3 88 99 -11 121
4 97 99 -2 4
5 93 99 6 36
Sum of deviation squared 606
s^2 = Sample Variance = Σ(xi - X)2/(n - 1)
Sample Variance = 606/4 = 151.5
Sample Standard Deviation = √Sample Variance
Sample Standard Deviation = √151.5
Sample Standard Deviation = 12.30853362509117
Sample Standard Deviation = 12.31
The point estimate of the population standard deviation is 12.31
Can someone help answer this
Answer:
968 - 744 = 224
Step-by-step explanation:
if Fatima's lettuce broccoli and peas all weigh 968 grams when weighed together and her lettuce and broccoli way 744 grams, as shown in the photo, when weighed together you would subtract the weight of the lettuce and broccoli from the weight of the peas, lettuce, and broccoli together.
you would then get 224 as your answer. your number sentence then should be:
968 - 744 = 224
Step-by-step explanation: 968-744=224 is the answer
Answer subtract 744 and 968 and you will get the answer
f (x) = (x + 1)(x - 3)(x - 4)
Answer:
f(x) = [tex]x^3-6x^{2} +5x+12[/tex]
zeros : -1,3,4
Step-by-step explanation:
Answer:
I solved for the function operation and got 4.53407019
Step-by-step explanation:
Hope this helps!! :)
You start at (5, -1). You move up 5 units. Where do you end? On a coordinate plane
Answer:
0,-1
Step-by-step explanation:
Then I will end at (5,4)
Which graph shows a function whose inverse is also a function?
Answer:
the one that i take a screen shot
Answer:
the right answer is C
Step-by-step explanation:
edge2020
Help me on this Algebra 2
how to get beter at maths
Answer: to get better in math:-
i) listen to the math class properly
ii) practice the math works thoroughly
iii) do homeworks on time
iv) if there is any doubt still feel free to ask to the teacher
v) do revision of the taken chapters once in month
vi) If u can attend tuition classes then attend them
doing these steps I'm sure u can be better in math.
Hope it helped u, pls mark this as brainliest and put thanks for the ans
what is 1000+500+98+9876+14568=
Answer:
26042
Step-by-step explanation:
i just know
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
Answer:
The ratio is 15:5 or 3:1. If Marianne is 3 years old, her brother is 1. And it is proportional...
Step-by-step explanation:
I need to know for you to Awnser my question
Points and brainlest !!!
Answer:
id c hot hf hdjhdw fhwjfehf v;e
Step-by-step explanation:
id c h
Answer:
2/3
Step-by-step explanation:
theres only 4 less than 5 out of 6 so the fractio is 4/6. 4/6 simplified is 2/3
what is 10-9x24÷8x6
Answer:-152
Step-by-step explanation:
