Can someone please help me on this one ?

You are considering different investment strategies to save for your retirement.
Option 1: You invest $50/ month at a rate of 3.5% APR compounded monthly for 35 years.
Option 2: You invest $150/ quarter at a rate of 4.15% APR compounded monthly for 35 years.
Option 3: You invest $4,000 at a rate of 5.5% APR compounded monthly for 35 years.
Complete the table below and answer the questions below it.
You may use this calculator http://www.mycalculators.com/ca/savecalcm.html to help you.
(Hint: The “Present Value” for options 1 and 2 is 0 while for option 3 it is $4,000.00. Also, the
top radio button in the Contributions box should be selected so that contributions are made at the beginning of the period.)

Table:
Option # | Contributions | Final Balance | Total Interest Earned
1
2
3

1) How did you calculate the contribution for each option? In which option would you
contribute the least?

2) Which option yielded the highest amount at the end of the 35 years and what was the basis of the plan?

3) What is the difference in the principal invested for the highest and lowest final
balances? What is the difference in the interest earned?

4) What plan would you recommend for the largest return on investment? (This means
the most interest for the least amount invested)

5) How does the differing interest rates in each option play into your recommendation?

I would appreciate full feedback! Thank you :)

Answers

Answer 1

Return on investment increases as the interest rate applied, the duration of investment, and the principal invested increases.

The responses are as follows;

1) Total contribution = Single contribution Value × Number of contributions2) Option 23) $-4,0004) Option 35) The higher interest rate increases the return on investment

Reasons:

Option 1: Investment

The present value = 0

The contributions made = $50 monthly

APR of investment = 3.5%

Number of years of investment = 35 years

The contribution = $50 × 12 × 35 = $21,000

Future value (final balance) = $41,230.22

Interest Earned = $41,230.22 - $21,000 = $20,230.22

Option 2: Investment

The present value = 0

The contributions made = $150 per quarter

APR on investment = 4.15%

Number of years of investment = 35 years

The contribution = $150 × 4 × 35 = $21,000

Future value = $47,503.88

Interest Earned = $47,503.88 - $21,100

Option 3: Investment

Present value = $4,000

APR on investment = 5.5%

Number of years of investment = 35 years

The contribution = $4,000

Future value = $27,300.26

Interest Earned = $27,300.26 - $4,000 = $23,300.26

[tex]\begin{array}{|c|c|c|c|}Option \ number&Contributions&Total \ Interest \ Earned&Final \ Balance\\1&\$50&\$20,230.22&\$41,230.22\\2&\$150&\$26,403.88&\$47,503.88\\3& \$4,000 &\$23,300.26 &\$27,300.26 \end{array}\right][/tex]

1) The total contribution is given by the product of the monthly contribution and the number of timer units.

2) The option that yielded the highest amount at the end of 35 years is the option 2.

The basis of the plan is quarterly investment of $150 and an annual interest rate of 4.15% compounded monthly.

3) The principal with the highest final balance is the principal for Option 2. which is 0

The principal that has the lowest final balance is the principal for option 3 which is $4,000

The difference in the principal for the highest and lowest final balances is  

$0 - $4,000  = $-4,000

4) The plan recommended for the largest return on investment is option 2, in which the amount invested increased by more than 600%

5) The higher the interest rate, the higher the return on the amount invested.

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Related Questions

PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!

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Answer: (5,1)

Step-by-step explanation:

Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x

on 13, 1.7.21
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A bank loaned out $18,000, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received in one year totaled $2000, how much was loaned
at 7%?
How

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Answer:

??????

Step-by-step explanation:

Saan po jan sasagutan

What is the slope of the line created by this equation?
Round your answer out to two decimal places.
8x+2y = 4
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Answer:

I think the answer will be:- m = -4 but I'm not sure.

Sarah is making scarves. She has 10 1/2 yards of fabric to make the scarves. If each scarf requires 4 yards of fabric, how many scarves can Sarah make? PLEASE HELP ​

Answers

Answer:

2

Step-by-step explanation:

We know 10 1/2 is basically 10.5 or 21/2

To find the max amount of scarves she can make, simply divide the number of yards she has by 4. This will get you the number of scarves she can create.

[tex]\frac{21/2}{4} = \frac{21}{2} * \frac{1}{4} = 21/8 = 2.625[/tex]

Well.. we don't want to make .625 of a scarf since that would be ridiculous, so we will round it down to 2 since we can't make 3 either.

The max amount of scarves she can make is 2.

[Intergers]
During football game the ball advanced 4yd, retreated 10 yd, and then advanced 2yd. Where did the ball finish in relation to it’s starting point?

Please explain step by step to get marked!

Answers

It moved forward 4 yards, then back 10 yards:

4-10 = -6

It is now -6 yards from where it started.

It then moved 2 yards forward from there:

4-6 + 2 = -4

The ball finished -4 yards from the original location.

what is the simplest from of the ratio 40:16 ?

Answers

Answer:

5 : 2

Step-by-step explanation:

40:16

Divide each side by 8

40/8:16/8

5 : 2

Answer:

5 :2

Step-by-step explanation:

40 : 16

= 40/16

= 4*10 / 4*4

= 10/4

= 5*2 / 2*2

=5/2

Can please help me simplify this please


3/8

6/15

Answers

3/8 -> 3/8 (it is fully simplified)

6/15 -> 2/5 (dividing the top and the bottom by 3)

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

2x + 3x/4 = 11
Please solve I am doing it for homework :)

Answers

Answer:

x = 4

Step-by-step explanation:

2x + 3x/4 = 11
x4 x4. = x4
8x + 12x =44
20x = 44
/20 =/20
x = 44/20 = 22/10

blank% of 50 shirts is 35 shirts

Answers

Answer: 70%

Step-by-step explanation:

A percentage is a way of writing a fraction, but with a denominator of  

100

Asking the question a different way makes it easier to understand.

What percent is  

35

shirts out of  

50

?

This indicates that there is a fraction.

35

50

Make the denominator  

100

35

50

×

2

2

=

70

100

=

70

%

Or to make a percent:

fraction

×

100

%

35

50

×

100

2

%

=

35

×

2

=

70

%

Write an equation for the graph shown in the form of y =

Answers

Y= 1/5x+1

Because your line crosses the Y-axis at point (0,1), your y-intercept is 1. Your slope is over 5, up one. So 1/5 X is a constant linear slope, and your line starts at y=1

i didn't mean to choose an answer

Answers

Answer:

50

Step-by-step explanation:

Volume of rectangular pyramid=(l*w*h)/3, so 150/3=50

Answer:

V=1/3 * L *W *H

V= 1/3 *5* 3 *10

V=1/3 *150

V= 50 m2

Step-by-step explanation:

your answer

what is 159 divided by 3?

Answers

Answer:

53

Step-by-step explanation:

The solution of expression 159 divided by 3 is, 53

The given numbers to divide are,

⇒ 159 divided by 3

Let us assume that, a is divided by b,

Then, it ca be written as,

⇒ a / b

Hence, We can write as,

⇒ 159 / 3

3 ) 159 ( 53

  - 15

------------

      09

     - 09

     ---------

        00

Therefore, The solution of expression 159 divided by 3 is, 53

Learn more about the divide visit:

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#SPJ6

In a horse​ race, how many different finishes among the first 3 places are possible if 7 horses are​ running? (Exclude​ ties)

There are a possible___different finishes.

Answers

Answer:

7 x 6 x 5 = 210

Step-by-step explanation:

its a combination's problem.

7 horses are eligible for first place.

6 of those are eligible for 2nd given that one of the 7 finished first.

similarly 5 of the remaining are eligible for 3rd place given 2 horses have taken the first 2 spots.

therefore 7 x 6 x 5 possible combinations = 210 combinations.

Fifteen girls left a mixed group of boys and girls. There remained two boys for each girl. After this, 45 boys leave the group, and there were 5 girls for each boy. Determine the number of girls in the
original group.

Answers

Sorry i cant answer this way too hard for me

What value of x satisfies the equation 1/2 x-5(x-1/3)=5/4 x+3

Answers

Answer:

this is the answer....

Answer:

x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   = = x - -4.3016389  and x - 4.3016389

Step-by-step explanation:

1/2 x-5(x-1/3)=5/4 x+3 = ( 1/2x^2-5x -1/6x -5/3)  = (5/4x+3)  = ( 1/2x^2-6 5/6)  = (5/4x+3)  convert 5/4 to  12ths = *3 =  15/12  and 5/6 * 2 = 10/12 =  ( 1/2x^2-6 10/12)  = (15/12x+3)  = 1/2 x^2 - 15/12x -6 10/12 - 3 = 0   = 1/2 x^2 - 15/12x -3 10/12 = 0 then multiply by 2 to make 1/2 whole 1/2 x^2  (2)- 15/12x (2) -3 10/12 (2) = 0 =  x^2 - 30 /12x -6 20/12 (2) = 0  simplify irregular fraction  x^2 - 2 2/4x  -7 3/4  = 0  then do the abc quadratic formula = x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   =  x-  -17.2065556/4   = x - -4.3016389    and 17.2065556/4 =x - 4.3016389

please solve thank you​

Answers

Answer: probably A

Step-by-step explanation:

Can someone please help, I will give brainiest. If possible explain please.

Answers

Step-by-step explanation:

The angles (8x + 28) and (4x - 7) are supplementary to each other so we can write

[tex](8x + 28) + (4x - 7) = 180 \Rightarrow 12x + 21 = 180[/tex]

or

[tex]x = 13.25[/tex]

Also, note that the angle (4x - 7) and [tex]\angle{TQS}[/tex] are vertical angles, which means that they are equal to each other. Therefore,

[tex]\angle{TQS} = 4x - 7 = 4(13.25) - 7 = 46°[/tex]

HELPPPP THSI IS THE ONEEE HELP HELP

Answers

Answer:

the answer is 9 b 3 1 5 ghhj

Answer:

Step-by-step explanation:

Volume of a cube =side³

                        [tex]=(\dfrac{1}{5}b^{3})^{3}\\\\\\=(\dfrac{1}{5})^{3}*b^{3*3}\\\\ = \dfrac{1}{125}b^{9}[/tex]

                         

Find the total future amount for $500 invested at 3.99% for 8 years compounded
monthly
State your answer in terms of dollars rounded to the nearest cent (hundredth).

Answers

Answer:

999.9

Step-by-step explanation:

hjvjg

There are 25,883 LPN in indiana. Assume that indians population is approximately 6.6 mollion. Which of yhe following statement best represents the ratii of LPN's to residents in indiana?

Answers

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

Solve for x
-(-2 - 5x) +(-2) = 18


X= -90

X= -18/5

X= 18/5

X= 90

Answers

Answer:

18/5

Step-by-step explanation:

Evaluate 3m + p if m = 2 and p = 4.

Answers

>> Answer

_________

[tex] \: [/tex]

3m + pm = 2

3m + 4m = 2

(3 + 4)m = 2

7m = 2

m = 2/7

Money that is collecting interest in a bank account doubles in value every 20
years.
When the account was opened, it contained 64 dollars, or 26 dollars. In 40
years, the account balance has doubled 2 times, increasing by a factor of 22.
It now has a balance of 26 - 22. Expressed as a power, how much money, in
dollars, is in the account now?
A. 212
O B. 28
C. 48
O D. 412

Answers

The answer is going to be B

Use the given conditions to write an equation for the line in slope-intercept form.



Passing through (5, 3) and (4, 6)

Answers

Answer:

y=-3x+18

Step-by-step explanation:

since they gave us two points, we can find the slope: (y_2 - y_1)/(x_2 - x_1) -> (6-3)/(4-5)=(3)/(-1)=-3 so the slope is -3. now we have [tex]y=-3x+b[/tex]. next we have to find b. to do this just plug a point into the equation: 3= -3*5 +b, 3=-15+b, b=18. so now we have y=-3x+18

Which is the quotient of 43.5÷3 ?

Which is the quotient of 24.6÷5 ?

Answers

1) Quotient of 43.5÷3 :-

→ 14.5

2) Quotient of 24.6÷5 :-

→ 4.92

IMAGE ATTACHED. PLEASE CHECK.

-----------------------------

Answered by Benjemin ✍️

What is the coefficient of the first term in this expression?
4r+q3r2+8q2r

Answers

Answer:

4

Step-by-step explanation:

For the function: f(x) = 3x^2 +5x – 8, find and simplify

A. f(x) - f(a) divided by x-a

b.f(x +h) - f(x) all divided by h

Answers

Answer:

[tex]f(x) = 3 {x}^{2} + 5x - 8[/tex]

[tex]f(x + h) = 3 ({x + h})^{2} + 5(x + h) \\ = {3x}^{2} + {3h}^{2} + 6xh + 5x + 5h - 8 \\ [/tex]

answer will be 6x+5

18. You and your friend are selling your old CDs. Your friend sells 14 the first
day and x the next day. You sell y the first day and 6 the next day. Write an
expression that shows that the total number of CDs sold both ddays. Rewrite
your answer using the Commutative Property of Addition

Answers

9514 1404 393

Answer:

  = x + y + 20

Step-by-step explanation:

There are a couple of ways you could write this.

  friend sales + your sales

  = (14 +x) +(y +6)

  = (x +14) +(6 +y) . . . . commutative property used twice

  = x +14 +6 +y = x +20 +y

  = x + y + 20 . . . . . . . commutative property used again

__

  first-day sales + second-day sales

  = (14 +y) + (x +6)

  = (y +14) +(6 +x) . . . . commutative property used twice

  = y +14 +6 +x = y +20 +x

  = y +x +20 . . . . . . . . commutative property used again

  = x + y + 20 . . . . . . . and again

_____

Additional comment

We also used the associative property (to move parentheses) and the properties of addition of integers to simplify the sum. We have chosen to put the variables in lexicographical order, a sort of standard.

determine an expression to represent both the perimeter and area of the following 2D shape

Answers

Answer: i think its y=2x+22

Step-by-step explanation:

Hi! Can anyone help please, I have been trying this problem for the past hour and I got slope-intercept equation like this but I don't know what to do y=1/2x+5

The graph of a function g is shown below. Find the following:

g(10)

Answers

Answer: 8

Step-by-step explanation:

A really simple way to solve these problems is to think of g(whatever number) as the y coordinate on your graph. Therefore the question is basically asking you if x is 10, what is y. If we find 10 on the x axis, we can count up the y axis until we reach the line. So, the answer is 8

Yes you found it correct as per slope intercect form y=mx+b

Here

y=1/2x+5

Slope=m=1/2

Y intercect=5

Now.

for g(10)

The coordinate is (10,8)

So

g(10)=8

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