Mr. Jones and Mr. Smith both plan to retire in 5 years. Mr. Jones has invested $250 per
month in a 401k retirement account for 20 years, and Mr. Smith has invested $500 a month
in a 401k retirement account for 10 years. Mr. Jones and Mr. Smith invested in the same
accounts yielding the same interest rate. Which statement about the retirement investments
of Mr. Jones and Mr. Smith is most likely to be true?
Mr.Smith will have more money saved because he invested more money each month.
Mr. Smith and Mr. Jones will have the same amount in their retirement funds.
Mr. Jones will have more money because he invested for a longer period of time.
cannot determine
Answers
Answer:
i don't know, i just want to know if you got it right
Step-by-step explanation:
The correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
Mr. Jones and Mr. Smith both plan to retire in 5 years.
From the formula:
The rate of interest is the same for both cases.
The duration for Mr. Jones is 20 years
The Initial investment amount for Mr. Jones = $250
The duration for Mr. Smith is 10 years
The initial investment amount for Mr. Smith = $500
Mr. Jones will have more money because he invested for a longer period of time.
Thus, the correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.
Learn more about compound interest here:
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Related Questions
hi how are you? I am a great listener let's make a conversation about ourselves.
Answers
Answer:
I'm doing a challenge where I have to answer questions and earn points so just finishing my challenge :)
Step-by-step explanation:
The model was shaded two different ways to show a product
Which product is shown by the model?
A-1/3 x 1/5
B-1/3 x 2/5
C-2/3 x 1/5
D-2/3 x 2/5
Answers
Answer:
Step-by-step explanation:
You kinda need to show the model for people to answer the question-
Simplify by dividing -5/8 divided by -3/4
Answers
Find the coordinates of the focus and equation of the directrix for the parabola given by y2 = −4x. The general formula for this parabola is y2 = 4px. Therefore, the value of p is . The coordinates of the focus are . The equation of the directrix is .
Answers
Answer:
The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.
Step-by-step explanation:
Let be [tex]y^{2} = -4\cdot x[/tex], which represents a parabola with a horizontal axis of symmetry. To find the location of the focus and to determine the equation of the directrix we must find the distance between focus and vertex ([tex]p[/tex]), dimensionless, a value than can be extracted from the following definition:
[tex](y-k)^{2} = 4\cdot p \cdot (x-h)[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.
By direct comparison, we get the following coincidences:
[tex]h = 0[/tex]
[tex]k = 0[/tex]
[tex]4\cdot p = -4[/tex] (Eq. 2)
From (Eq. 2) we get that distance between focus and vertex is:
[tex]p = -1[/tex]
Which is consistent with the fact parabola has an absolute maximum.
Now, the location of the focus is:
[tex]F(x,y) = (h+p, k)[/tex] (Eq. 3)
If know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]p = -1[/tex], coordinates of the focus is:
[tex]F(x, y) = (0-1, 0)[/tex]
[tex]F(x,y) = (-1,0)[/tex]
And the equation of the directrix is represented by:
[tex]x = -p[/tex] (Eq. 4)
([tex]p = -1[/tex])
[tex]x = 1[/tex]
The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.
Answer:
The general formula for this parabola is y2 = 4px.
Therefore, the value of p is
✔ –1
.
The coordinates of the focus are
✔ (–1,0)
.
The equation of the directrix is
✔ x = 1
.
Step-by-step explanation:
Geometry help! Due really soon
10 pts + brainliest
m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.
Angles 3 and 5 are
.
The equation
can be used to solve for x.
m∠5 =
°
Answers
Answer:
Angles 3 and 5 are Same side interior angles.
The equation (3x + 4) + (2x + 11) = 180 can be used to solve for X.
m<5 = 77 degrees
Step-by-step explanation:
Sorry if it's too late for you to finish your assignment on time :/
But I hope you have a good day :)
Answer:
Angles 3 and 5 are Same side interior angles.
Step-by-step explanation:
x + 9 – 0.8x = 5.2x + 17 – 8 pls help
Answers
Answer:
X = 6x
Step-by-step explanation:
Simplifying
X + 9 + -0.8x = 5.2x + 17 + -8
Reorder the terms:
9 + X + -0.8x = 5.2x + 17 + -8
Reorder the terms:
9 + X + -0.8x = 17 + -8 + 5.2x
Combine like terms: 17 + -8 = 9
9 + X + -0.8x = 9 + 5.2x
Add '-9' to each side of the equation.
9 + X + -9 + -0.8x = 9 + -9 + 5.2x
Reorder the terms:
9 + -9 + X + -0.8x = 9 + -9 + 5.2x
Combine like terms: 9 + -9 = 0
0 + X + -0.8x = 9 + -9 + 5.2x
X + -0.8x = 9 + -9 + 5.2x
Combine like terms: 9 + -9 = 0
X + -0.8x = 0 + 5.2x
X + -0.8x = 5.2x
Solving
X + -0.8x = 5.2x
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '0.8x' to each side of the equation.
X + -0.8x + 0.8x = 5.2x + 0.8x
Combine like terms: -0.8x + 0.8x = 0.0
X + 0.0 = 5.2x + 0.8x
X = 5.2x + 0.8x
Combine like terms: 5.2x + 0.8x = 6x
X = 6x
Simplifying
X = 6x
Answer:
X=6x
Step-by-step explanation:
46. Hannah walks dogs for four different families. She charges each family the same
amount of money per hour. The numbers of hours she worked last week walking
dogs for each of the families are shown.
14 hours, 2 hours, 13 hours
, 3 hours
Hannah earned $93 for the hours she worked last week walking dogs.
• Calculate the amount of money Hannah earns per hour for walking dogs
• Write an equation that can be used to determine the amount of money, m, in
dollars, Hannah earns when she works h hours walking dogs.
• Show your work or explain your answer.
Answers
Answer:
Hannah earns $2.9 per hour for walking dogsThe equation is m = $2.9hStep-by-step explanation:
From the question,
Hannah walks dogs for four different families and charges them the same amount of money per hour. Also, The numbers of hours she worked last week for each of the families are 14hours, 2 hours, 13 hours, and 3 hours.Hence, she worked for a total of (14 + 2 + 13 + 3) hours.
(14 + 2 + 13 + 3) hours = 32 hours
Hence, she worked for a total of 32 hours last week.
Also, she earned $93 for the hours she worked last weekTo calculate the amount of money Hannah earns per hour for walking dogs, that will be
$93 ÷ 32 hours = $2.9/hour
Hence, Hannah earns $2.9 per hour for walking dogs
For the equation that can be used to determine the amount of money, m, Hannah earns when she works h hours walking dogs,
If she works h hours for working dogs, then she will earn
$2.9 × h = $2.9h
Hence,
m = $2.9h
Where m is the amount of money Hannah earns in dollars
and h is the number of hours she spends walking dogs.
PLEASE HELP!! IF U GET IT RIGHT ILL GIVE U A BRAINLIEST :)
Answers
Answer:
1,4,5
Step-by-step explanation:
Ive done it myself
Answer:
1,2,4,5
Step-by-step explanation:
What is the result when x4 – 723 – 13x2 – 2x + 7 is divided by x + 1? If there is
r(2)
a remainder, express the result in the form q(x) +
b(a):
Answers
Rachel tutors English. for each hour that she tutors, she earns 50 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H. Then use this equation to find Rachel’s earnings after tutoring for 19 hours
Answers
Answer:
a. E = 50 H b. 950 dollars
Step-by-step explanation:
a. Since Rachel tutors English for 50 dollars for each hours, her rate is 50 dollar per hour. If she tutors for time, H hours, Her earning E = rate × time = 50 × H
E = 50H.
b. If Rachel's earnings after tutoring for 19 hours is gotten by substituting H = 19 into the equation for the earnings, E.
So, E = 50H
E = 50 × 19
E = 950 dollars.
So, Rachel's earnings after 19 hours is 950 dollars.
PLEASE ANSWER QUICKLY ITS TIMED
A sphere has a diameter of 10 in. What is the volume of the sphere?
A. V=125/3 in cubed
B. V=500/3 in cubed
C. V=500/3 pi cubed
D. V= 4000/3 pi cubed
Answers
Answer:
V≈523.6in³
d Diameter
Step-by-step explanation:
so its b
Find the missing endpoint if one endpoint is at (5.-7) and the midpoint is at (15.1).
Answers
Answer:
(25, 9)Step-by-step explanation:
Given Point (5, -7) and midpoint (15, 1)To findMissing endpointSolutionMidpoint formula:
x = (x1 + x2)/2, y = (y1 + y2)/2Substituting values:
15 = (5 + x2)/2 ⇒ 5 + x2 = 30 ⇒ x2 = 30 -5 ⇒ x2 = 251 = (-7 + y2)/2 ⇒ -7 + y2 = 2 ⇒ y2 = 2 - (-7) ⇒ y2 = 9Missing endpoint is:
(25, 9)
3 Timothy wants to rent a car for his trip. The cost, in dollars, of a n-day long rental can be represented by
the following sequence:
112, 162, 212, 262.....
Which statement is true?
A) The cost can be represented by the explicit formula
a = 112 + 50(n - 1).
B) The cost can be represented by the recursive formula
a = a,- 1 - 50
C) The cost can be represented by the explicit formula
an = 50 + 112(n - 1).
D) The cost can be represented by the recursive formula
ana-1 + 112
HELP!!!!
Answers
Step-by-step explanation:
D, because they didn't say 50 anywhere in the question that's what I think? i put D
What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 2 and one-half minus (negative 1 and three-fourths) A number line going from negative 3 to 0 in increments of One-fourth. a \large -4\frac{1}{4} b \large -\frac{3}{4} c -4 d \large -\frac{1}{2}
Answers
Answer:
B)[tex]\frac{-3}{4}[/tex]
Step-by-step explanation:
We are supposed to find the difference of the fractions
a) [tex]-2\frac{1}{2}-(-1\frac{3}{4})[/tex]
[tex]=\frac{-5}{2}+\frac{7}{4}[/tex]
Using equivalent fraction
[tex]-\frac{5}{2} \times \frac{2}{2} = \frac{-10}{4}\\\Rightarrow \frac{-10}{4}+\frac{7}{4}[/tex]
Plot both fractions on number lines
So Using number line
[tex]\frac{-10}{4}+\frac{7}{4}=\frac{-5}{2}+\frac{7}{4}=\frac{-3}{4}[/tex]
So, Option B is true
A contractor bought 6.4 ft2 of sheet metal. He has used 2.1 ft2 so far and has $77.40 worth of
sheet metal remaining. The equation 6.4x - 2.1x = 77.4 represents how much sheet metal is
remaining and the cost of the remaining amount. How much does sheet metal cost per square
foot?
Answers
Answer:
$18
Step-by-step explanation:
Given:
6.4x - 2.1x = 77.4
Where,
x = cost of sheet metal per square foot
How much does sheet metal cost per square foot?
6.4x - 2.1x = 77.4
4.3x = 77.4
Divide both sides by 4.3
x = 77.4 / 4.3
= 18
x = $18
Sheet metal per square foot cost $18
Which step can you use to solve the equation first -5+p=4?
Answers
Answer:
Step-by-step explanation:
You have to do the opposite of the firs t one. You are going to add 5 to the four to get
p = 9. There is your answer! Add on both sides!
Answer:
add 5 to both sides of the equal sign
Step-by-step explanation:
the answer will be p=9
Find the sum.
6(2k – 2) + (7k + 5)
Answers
Answer:
Your answer is: 19k - 7
Simplify the expression.
Step-by-step explanation:
Hope this helped : )
6(2k-2) + (7k+5)
12k-12+7k+5
19kx12+5
19k-7
Please explain The Four Color Theorem and list 1 example
Answers
Answer:
The Four Color Theorem, or the Four Color Map Theorem, in its simplest form, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. As promised, that's a theorem any elementary-level student can grasp.
Step-by-step explanation:
Writewrite an equation of the line passing through the point p (-2, 6) that is parallel to the line x= -5.
Answers
Answer:
Since the slope of the line x= - 5 is infinite
The line will be parallel to y axis.
And the line passes through - 2, so the equation will become x= -2
The highest point on Earth is Mount Everest with a height of 8,848 meters. The lowest point on Earth is the Mariana Trench, with a height of -11,034 meters. A height of 0 corresponds to sea level (the height of the world's oceans). What is the vertical distance between Mount Everest and Mariana Trench? Write the expression then solve it.
Answers
Answer:
The vertical distance between Mount Everest and Mariana Trench will be 19,882 ft
Step-by-step explanation:
Here, we want to get the vertical distance between the highest point on the Earth and the lowest point on the Earth
To find the vertical distance, we simply subtract the height of the lowest point from the height of the highest point
Mathematically, that would be;
8848 - ( 11, 034) = 19,882 ft
A student rewrote 4(3x+10) as 12x+10 what’s the erro
Need help plz
Answers
Answer
12x+40
Step-by-step explanation:
when distributing, you have to multiply all numbers in the parentheses by the variable outside the parentheses
Answer:
he distributed incorrectly. the correct answer is 12x + 40
Step-by-step explanation:
so you have to multiply 4×3x and 4×10
4×3x=12x
4×10=40
so 12x + 40
Need help WITH THE QUESTION HELP ME PLZZZZZZZZZ
Answers
Answer:i think its 3 packages of plates and 2 packages of cups
Step-by-step explanation:
beacause 8 times 3 is 24 and 12 times 2 is 24
Answer:
A
Step-by-step explanation:
I cant find the words to explain. They both meet at 24. 8 x 3 = 24 and 12 x 2 = 24. So 3 packages of 8 and 2 packages of 12.
Which of the following is a way to find the value of −4 + (−6)?
Answers
theres no options to choose from, but in order to solve any equation like that, heres a tip!!
if youre adding a negative number, all youre really doing is subtracting a number. if you're subtracting a negative, you're just adding the number!!
let me know if you have any other questions!! hope this helps you!! <3
Solve for indicated variable 4y + 3x= 5 for x
Answers
Answer:
4y + 15
Step-by-step explanation:
the value of (-1)^500
Answers
Answer:
1!!!
Step-by-step explanation:
I need help with these two question .-. / also happy Halloween :)
Answers
Answer:
7) 308 square yards
8) approx. 7.03 square inches
Step-by-step explanation:
7) length times width: 20 * 15 2/5 = 308
8) base times half height: (3 3/4 * 3 3/4) / 2 = 7 1/32 ≈ 7.03
Solve for y When x = -2
Answers
Solve for m. 4+ |7 _ m |=5
Answers
Hope that helpssssss have a nice dayyyyyy:)
Find the GCF of the terms of the polynomial.
35Z^4 - 70z3 + 14z2
Answers
Answer:
7z^2
Step-by-step explanation:
7Z^2
Answers are 1.–70 2.–12 3.–74 4.–36
Answers
Answer:
3. -74
Step-by-step explanation:
[tex]12 = \frac{2 + z}{-6} \\-72 = 2+ z\\z = -74[/tex]
