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 investmentReasons:
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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Solve for x
-(-2 - 5x) +(-2) = 18
X= -90
X= -18/5
X= 18/5
X= 90
Answer:
18/5
Step-by-step explanation:
determine an expression to represent both the perimeter and area of the following 2D shape
Answer: i think its y=2x+22
Step-by-step explanation:
on 13, 1.7.21
Points: 0 of 1
Save
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
Answer:
??????
Step-by-step explanation:
Saan po jan sasagutan
HELPPPP THSI IS THE ONEEE HELP HELP
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]
PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!
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
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.
[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!
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.
Write an equation for the graph shown in the form of y =
What value of x satisfies the equation 1/2 x-5(x-1/3)=5/4 x+3
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
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)
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+5Slope=m=1/2
Y intercect=5
Now.
for g(10)
The coordinate is (10,8)
So
g(10)=8
what is 159 divided by 3?
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
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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
What is the coefficient of the first term in this expression?
4r+q3r2+8q2r
Answer:
4
Step-by-step explanation:
Use the given conditions to write an equation for the line in slope-intercept form.
Passing through (5, 3) and (4, 6)
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
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?
Can someone please help, I will give brainiest. If possible explain please.
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]
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
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
What is the slope of the line created by this equation?
Round your answer out to two decimal places.
8x+2y = 4
Help
Answer:
I think the answer will be:- m = -4 but I'm not sure.
blank% of 50 shirts is 35 shirts
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
%
Evaluate 3m + p if m = 2 and p = 4.
_________
[tex] \: [/tex]
3m + pm = 2
3m + 4m = 2
(3 + 4)m = 2
7m = 2
m = 2/7
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).
Answer:
999.9
Step-by-step explanation:
hjvjg
Can please help me simplify this please
3/8
6/15
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
what is the simplest from of the ratio 40:16 ?
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
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.
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.
2x + 3x/4 = 11
Please solve I am doing it for homework :)
Answer:
x = 4
Step-by-step explanation:
Which is the quotient of 43.5÷3 ?
Which is the quotient of 24.6÷5 ?
1) Quotient of 43.5÷3 :-
→ 14.5
2) Quotient of 24.6÷5 :-
→ 4.92
IMAGE ATTACHED. PLEASE CHECK.
--------------★---------------
Answered by Benjemin ✍️
i didn't mean to choose an answer
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
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
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.
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
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.
please solve thank you
Answer: probably A
Step-by-step explanation:
