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
Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.
Answers
Answer:
[tex]\sqrt{\frac{9}{2} }[/tex]
Step-by-step explanation:
Given dimensions:
The right angle system is a 45 - 45 - 90
Hypotenuse = 3cm
Unknown:
Adjacent and opposite sides = ?
Solution:
In this triangle, the adjacent and opposite sides are equal to one another. So,
Let adjacent = y
opposite = y
For right angle triangles as this, using the Pythagoras theorem,
hypotenuse² = adjacent² + opposite²
Insert the parameters and solve;
3² = y² + y²
2y² = 9
y² = [tex]\frac{9}{2}[/tex]
y = [tex]\sqrt{\frac{9}{2} }[/tex]
Five more than a number g is six less than twice a number h. Solve for g.
Answers
Answer:
g=2h-11
Step-by-step explanation:
You need to make the two sides equal, so add 6 to the left side:
[tex](g+5)+6=2h[/tex]
Solve for g
[tex]g+5+6=2h\\\\g+11=2h[/tex]
Isolate g
[tex]g=2h-11[/tex]
larry gets a 5% wage rise. his new wage is £252 per week. what was larrys wage before his wage rise
Answers
The raise was 5% which is 0.05 as a decimal.
For his new rate his original rate was multiplied by 1.05 ( original + 5%)
To find original amount, divide new amount by 1.05:
252 / 1.05 = 240
His original pay was £240
You can check by multiplying the original pay by 5% and adding:
240 x 0.05 = 12
240 + 12 = 252
PLEASE HELP
-1 2/3 + (-2 1/6) A. Use the real number properties to write an equivalent expression for this sum.
B. Find the sum. Express your answer as a mixed number in lowest terms.
Answers
Answer:
-3 5/6
Here is what i did to solve it.:
-1 2/3 = -5/3, and -2 1/6 = -13/6. The LCD is 6.
We convert -5/3 to -10/6 and combine this result with -13/6:
-10/6 - 13/6 = -23/6
This last result can be rewritten as -3 5/6.
Hope this help, stay safe and have a nice day! :))))))
Answer:
-3 5/6
Here is what i did to solve it.:
-1 2/3 = -5/3, and -2 1/6 = -13/6. The LCD is 6.
We convert -5/3 to -10/6 and combine this result with -13/6:
-10/6 - 13/6 = -23
The graph of a linear function is shown.
Which word describes the slope of the line?
positive
negative
zero
undefined
Answers
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 Help Me!!!! ;)
Answers
Answer:
Value of x: 110
Step-by-step explanation:
5+5=10
120-10=110
Square root 2-x =x-2
Answers
Answer:
The square root of 2-x+x-2 is the square root of x (2-x)
Step-by-step explanation:
State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
HOUSING $1,386
FOOD $804
CHILD CARE $1,709
Transportation $1,235
HEALTH CARE $908
OTHER NECESSITIES $884
TAXES $1,483
Monthly Total $8,409
Annual Total $100,909
Answers
Answer:
these teachers b expectin u to do this bs
Step-by-step explanation:
I Need A Expert To Answer This! Find The Measure Of The indicated Angle In The Diagram.
Answers
Answer:
So,you're answer will be 21°{degree}..
Answer:
m∠YPQ = 159°
Step-by-step explanation:
m∠QRP = 107
m∠RQP = 52
m∠RPQ = x
m∠QRP + m∠RQP + m∠RPQ = 180°
107 + 52 + x = 180
159 + x = 180
x = 21°
m∠RPQ = x = 21°
m∠RPQ + m∠YPQ = 180°
21° + m∠YPQ = 180°
m∠YPQ = 159°
help help HELP!!! PLEASE
Answers
Slope 1/2
y intercept (0,1)
x y
-2 0
0. 1
write four integers between -10 and 3
Answers
Answer:
-4, -3, -2, -1
Step-by-step explanation:
all the integers between -10 and 3
-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2
Answer:
-9, -8, 2, 1
Step-by-step explanation:
Integers are whole number that can either be positive or negative.
Use the described technique to solve the equation describing the following problem:
A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?
Answers
Taxi Driver: 9+2x=
Uber Driver: 5x=
So we just gotta keep multiplying until we find where they’re equal. So let’s assume that when we can get the Taxi Drivers price to have a 5 in the tens place or a 0 in the tens place. By the looks of it, they will meet at 15$ for that to happen let x=3, which would make the taxi driver’s equation 9+2(3), 9+6=15$, and the uber driver’s equation would be 5(3)=15$. X=3 or X=distance in kilometers.
Round 463,751 to the nearest hundred.
Answers
Explanation:
Answer:
463,800
Step-by-step explanation:
:) watch this be wrong lol
PLEASE HELP MEEEEEEEEEEEEE
The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ:
Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively.
According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, angle VQT is congruent to angle WRS by the ________ Property.
Which property of equality accurately completes the proof?
А Reflexive
B Substitution
C Subtraction
D Transitive
Answers
Answer:
The correct answer is Transitive
PLEASE HELP YALL
simplify the expression:
-3 (4u -9)
Answers
Answer: (-12u+27)
Step-by-step explanation: I distributed the negative 3
What is the equation of the line?
Answers
Answer:
y = 2/3x + 4
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
are irrational numbers intergers
Answers
Answer:
No they are not intergers
Step-by-step explanation:
Hope this helps
5. Express 12⁄16 in quarters.
a. 1⁄4
b. 1⁄3
c. 2⁄4
d. 3⁄4
Answers
Answer:
D
Step-by-step explanation:
Divide 16 by 4 to get the denominator of 4. Then divide 12 by 4 to get three. Therefore your answer is D. 3/4
Answer:
3/4
Step-by-step explanation:
All I did was divide the top and bottom number by 4. 12/4= 3 and 16/4=4
Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.
Answers
[tex]2 {x}^{2} + x - 1 = 2 [/tex]
Subtract sides -2
[tex]2 {x}^{2} + x - 1 - 2 = 2 - 2 [/tex]
[tex]2 {x}^{2} + x - 3 = 0 [/tex]
[tex](x - 1)(2x + 3) = 0[/tex]
_________________________________
[tex]x - 1 = 0[/tex]
[tex]x = 1[/tex]
##############################
[tex]2x + 3 = 0[/tex]
[tex]x = - \frac{3}{2} \\ [/tex]
_________________________________
Done♥️♥️♥️♥️♥️
Answer: I think its C on edge
Please help! Due tonight
Answers
Answer:
what grade you in
this looks like 4th grade
What are the solutions to the quadratic equation 3(x − 4)2 = 75?
x = −9 and x = 1
x = −5 and x = 5
x = −4 and x = 4
x = −1 and x = 9
Answers
Answer:
x=-1 and x=9
Step-by-step explanation:
[tex]3(x-4)^{2} =75[/tex]
[tex](x-4)^{2} =\frac{75}{3}[/tex]
[tex](x-4)^{2}[/tex]=[tex]25[/tex]
[tex](x-4)(x-4)[/tex]=[tex]25[/tex]
[tex]x^{2} -4x-4x+16[/tex]=[tex]25[/tex]
[tex]x^{2} -8x+16[/tex]=[tex]25[/tex]
[tex]x^{2} -8x+16-25=0[/tex]
[tex]x^{2} -8x-9=0[/tex]
[tex](x-9)(x+1)=0[/tex]
[tex]x-9=0\\x=0+9\\x=9[/tex] [tex]x+1=0\\x=0-1\\x=-1[/tex]
therefore x=9 and x=-1
Answer:
the answer is d x = −1 and x = 9
Step-by-step explanation:
Please help!!! Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
I
Answers
Answer:
22 posts
Step-by-step explanation:
on the side of 20 feet you have 5 fence posts each in including one on each of the corners. On the 35 feet side you would have 8 including the corners, but since the corner posts are done its 6 on each 35 feet side. So you get 5+5+6+6=22
What is the value of 5(a-4b) when a= -7 and b= 0.25
Answers
Answer:
-40
Step-by-step explanation:
5(-7-4[0.25])
5(-7-1)
-35-5
-40
What is the slope of the line passing through (1, 2) and (3, 8)?
A. slope = 7
B. slope = 1/7
C. slope = 3
D. slope = 1/3
Answers
Answer:
slope is 3
Step-by-step explanation:
remember (y2-y1)/(x2-x1)? thats pretty easy bruh.
do i use mean and standard deviation or median and interquartile range?
Answers
Answer: median and interquartile range
Step-by-step explanation:
Simplify 1/4 (15-6) + 3^3 divided by 12
Answers
Answer:
Step-by-step explanation:
Use PEDMAS method
P - Parenthesis
E - Exponents
D - Division
M - Multiplication
A- Addition
S -Subtraction
[tex]\frac{1}{4}(15-6) + 3^{3}[/tex] ÷ 12 = [tex]\frac{1}{4}*9+3^{3}[/tex] ÷ 12 {Operation inside parenthesis}
[tex]= \frac{1}{4}*9+27[/tex]÷ 12 {Exponents}
[tex]= \frac{9}{4} + \frac{27}{12}\\\\\\= \frac{9*3}{4*3} + \frac{27}{12} \\\\\\= \frac{27}{12} + \frac{27}{12}\\\\\\=\frac{27+27}{12}\\\\\\=\frac{54}{12}\\\\=\frac{9}{2}\\\\= 4\frac{1}{2}[/tex]
Answer:
the answer is c. 4 1/2
Step-by-step explanation:
I guessed c got it right
Please help anyone
Linear function f is shown in the graph. Write the slope-intercept form of the equation representing this function.
Answers
The equation representing the function f(x) -
y = 4x - 8
We have a linear function f(x) as shown in the graph.
We have to determine the slope-intercept form of the equation representing this function.
What is the Slope - intercept form of the equation of a straight line ?The Slope - intercept form of the equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to the question, we have -
c = - 8 = intercept of line on y - axes.
Intercepting coordinates on y - axes = (0, -8).
Intercepting coordinates on x - axes = (2, 0).
Slope = m = [tex]\frac{-8-0}{-2 -0}[/tex] = 4
Therefore, the equation representing the function f(x) -
y = 4x - 8.
To solve more questions on Straight lines, visit the link below -
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2. Tina uSUally brings her children every Sunday afternoon at the children's park in their barangay. The park is 350m Iong and 200m wide complete with slides and
swings for children to play. If is surounded by a pathway of unifom width for children who loves biking and jogging. Suppose the total area of the park and the pathway is 74,464 m2.
a. How wide is the pathway of the park?
b. If you were Tina, woulad you like your children fo go biking and jogging in that park?
Answers
Answer: kindly check explanation
Step-by-step explanation:
Given the following :
Total area of parknand path way = 74,464 m2.
Dimension of park = 350m by 200m
Using the area of rectangle formula:
Area = Length * width
Area of park = 350m * 200m
Area of park = 70,000
Area of path = (74,464 - 70,000) = 4,464m2
Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m
2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path
f(x)= -3/4x+6
Find the inverse I need help pretty bad please help!!
Answers
Answer:
f⁻¹(x)= - 4x/3 +8
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation: