The payback period of the investment is 6.6 years.
The net present value is $7,797.22.
The payback period calculates the amount of time it takes to recover the amount invested from the cumulative cashflows.
Payback period = Amount invested / cost saving
$55,440 / $8,400 = 6.6 years
Net present value is the present value of after-tax cash flows from an investment less the amount invested.
NPV can be determined using a financial calculator
Cash flow in year 0 = $-55440
Cash flow in year 1 to 7 = $8,400
Cash flow in year 8 = $8400 + $27,700
I = 8%
NPV = $7,797.22
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Problem 1
Each scholar in fifth grade participates in one of the three extracurricular activities: sports,
chess, or art.
2/5 of the fifth grade scholars participate in sports
1/4 of the fifth grade scholars participate in chess
What fraction of the fifth grade scholars participate in art?
Answer:
7/20 participate in art.
Answer:
7/20 hcjauwauhfehhfieafuewaueiwavibiurbviubwibvebaiubj
ratio 2.5 meters to 60 centimeters can be written jn the form 1:n
Answer:
1:24/100
Step-by-step explanation:
you divide both side
Eduardo's teacher made the table shown here His teacher asked him to identify the missing value in the table Eduardo's answer was correct Which statement describes Eduardo's answer? A Eduardo s answer as 8. He added 6-2 Eduardo s answer was 12 He subtracted 2 from 14 Eduardo's answer was 10 He multiplied the number of cats by 2 Eduardo's answer was 15. He multiplied the number of cats by 3. USATestprep, LLC 2021, All Rights Reserved. Read Our Blog Privacy Policy PHONE 1 - 877 - 377- 9537 I FA
Answer:
Your Answer is C!
Step-by-step explanation:
2x2 = 4
3x2 = 6
5x2 = 10
7x2 = 14
Sandy planted a tree and wanted to record its growth. The graph shows growth of the
tree over time.
1
The equation for the tree's growth is y =
+ 20.
2x
Select the meaning of the slope and y-intercept from the drop-down menus.
The given equation of the height of the tree is the equation of a straight line.
The slope is the number of units of growth each time period.The y-intercept is the initial height of the tree.Reasons:
1. The equation of the tree's growth is presented as follows;
y = 20 + 2·x
The equation of the tree is in the form of the equation of a straight line,
which is, y = m·x + c
Where, by comparison, we have;
m = The slope = 2
c = The y-intercept = 20
y = The height of the tree
x = The time of measurement of the growth of the tree
Therefore;
The slope = The height to which the tree grows within each time period.Therefore, the tree grows by 2 units of the height each time period of measurement
The y-intercept = The height of the tree at the start of the measurement.Therefore, the tree was 20 units of the length measurement at the start of the record.
Learn more about the equation of a straight line here:
https://brainly.com/question/20898425
Answer:
Step-by-step explanation:
First Box: In the scenario, the slope represents
the growth rate of the tree per year.
Second Box: In the scenario, the y-intercept represents
the tree's initial height.
Bryce has $16 more than Corey. Both have a combined total of $50. How much money does Bryce have.
Answer:
$33
Step-by-step explanation:
Let the amount of money Corey has be $x.
Amount of money Bryce have= $(x +16)
Total amount= $50
$x +$(x +16)= $50
2x +16= 50
2x= 50 -16
2x= 34
Divide both sides by 2:
x= 34 ÷2
x= 17
Amount of money Bryce have
= $(17 +16)
= $33
1/2x - 1 = 4 whats the solution?
Answer:
To solve for x, isolate it from the other terms.
Add 1 to both sides.
1/2x - 1 + 1 = 4 + 1
Combine like terms.
1/2x = 5
Multiply both sides 2.
x = 5(2)
x = 10
The solution is 10.
Hope this helps! :)
what number is its own opposite?
Answer:
0Step-by-step explanation:
what number is its own oppositie?
The number 0 is the only number that is its own opposite.
Oliver and Eva are reading the same book. At the beginning of the month, Oliver was on page 43 and Eva was on page 21. Oliver will read 3 pages per day and Eva will read 5 pages per day. Let O represent the page of the book that Oliver is on at the end of tt days into the month, and let E represent the page of the book that Eva is on at the end of tt days into the month. Write an equation for each situation, in terms of t, and determine after how many days, t, Oliver and Eva will be on the same page of the book.
O=
E=
Answer: ____ days per page
days
pages
pages per day
when you answer the question plz put it how i seated put with the answer next to them with the answer just put one of them
The number of days that it will take Oliver and Eva to be on the same page of the book is 11 days.
Oliver's equation = 43 + 3tEva's equation = 21 + 5tBased on the information given, the equation to solve the question will be:
43 + 3t = 21 + 5t
Collect like terms
5t - 3t = 43 - 21
2t = 22
t = 22/2
t = 11
Therefore, it'll take them 11 days.
Read related link on:
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Need help quickly
(Finding angle measures using triangles)
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
What's the constant in 12n + 7 +13k⁴ + 4+ 39z
Answer:
7, 4 or 11
Step-by-step explanation:
No matter what n, k, or z is, 7 + 4 will always be constant. If you need to go farther, 7 + 4 is 11.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
WHAT IS THE INVERSE FUNCTION ANSWER USING STEPS: y=-3/4x-15
Answer:
What is the inverse of f(x)=−3x+5 ?
f ^−1(x)=−3x+5
f ^−1(x)=1/3x−53
f ^−1(x)=−1/3x+53
f ^−1(x)=3x−5
Second question
What is the inverse of the function?
g(x)=−4/3x+2
g−1(x)=4/3x−2
g−1(x)=−4/3x−2
g−1(x)=−3/4x+32
g−1(x)=3/4x+23
Pls help me pls dont answer if you dont know
Answer:
the answer is 147
Step-by-step explanation:
first you do 3.5cm times 84cm which is 294cm
then you do 294cm divided by 2 which is 147cm
the reason why you divide by 2 is because parallelograms like the triangle can be also halved into 2 separate triangles!!
hope this helped <3
Maria, Trey, and David sent a total of 65 text messages over their cell phones during the weekend. David sent 2 times as many messages as María, Maria sent 5
fewer messages than Trey. How many messages did they each send?
Answer:
David= 30
Maria= 15
Trey= 20
Step-by-step explanation:
If David sent 30 messages, then half as as many as that would be 15, the amount that Maria sent. 5 more than what Maria would be what Trey sent, 20.
Pls help meeee the question is in the photo pls no links or fake answers pls answer both questions
Answer:
Step-by-step explanation:
First one is TRUE...you'd multiply by negative one third
Second is FALSE...no multiplication needed to get x as a positive.
Prove that y = arcsinx on the root of 1 x squared satisfies the equality (1 - x squared)y' - xy = 1
Answer:
Step-by-step explanation:
The first part is a computation, combining the chain and quotient rules. We know that the derivative of f(x)=arcsin(x) is 1/sqrt(1-x2), and we need to differentiate the denominator. We use the chain rule: let u=1-x^2, and v=sqrt(u). Then du/dx=-2x, and dv/du = 1/(2 sqrt(u)). Combining, dv/dx=-x/sqrt(1-x2). Now, we put everything together using the quotient rules: y' = (f'v-v'f)/v2. Multiplying by (1-x2)=v2, we obtain (1-x2)y'= sqrt(1-x2)/sqrt(1-x2) +xarcsin(x)/sqrt(1-x2), which we can rewrite as 1+xy, as desired. Let's call this equation ().
We prove the second part by induction on n. To do this, we need two things: a base case, that is, proving the case n=0, and an inductive step, where we prove case n+1 from case n. To do the base case, we differentiate both sides of equation (*) that we proved above: d/dx ((1-x2 )y') = d/dx (xy+1 ). On the left-hand side, we get -2xy'+(1-x2 )y'', using the product rule, and on the right-hand side, we get xy'+y, similarly. Rearranging, we've proven the case n=0 of the desired statement. The inductive step is similar: we differentiate the equation from case n using the chain rule. Each of the first two terms splits into two: respectively, -2xy(n+2)+(1-x2)y(n+3), and (2n+3)y(n+1)+(2n+3)xy(n+2). If we combine the terms with the same numbers of derivatives on y, we get (1-x2)y(n+3)-(2n+5)xy(n+2)-((n+1)2+2n+3)y(n+1)=0 -which is what we wanted to prove, since ((n+1)2+2n+3) simplifies to (n+2)2.
please help me
this question is too much hard
I think that my brain stopped working
Please help please help please help please help
Answer:
2 , 3
Step-by-step explanation:
Does anyone know this?
Answer:
i think c or b I D K
Step-by-step explanation:
The length of a flat-screen tv is 5 inches less than 3 times its width if the perimeter of the tv is 150 inches find the demensions
Answer:
Length(L) is 55
Width(W) is 20
Step-by-step explanation:
At the beginning of a basketball season, the Panthers won 30 games out of 100 games. At this rate, how many games will they win in a normal 120-game season?
Answer:40
Step-by-step explanation: 12 divided by 3
Factor -4 out of -8k - 12
Answer:
-4(2k + 3)
Step-by-step explanation:
Factoring is just dividing the whole thing by that
So -8k - 12 becomes -4(2k + 3)
measurement 6 is 126
find measurement 1 and 4
Step-by-step explanation:
just stop wasting ur pionts
Each week, Christian earns $x fixing bicycles and receives $10 as his allowance.
To find how much he will earn in total over 2 weeks, Christian calculates the following:
x + 10 + x + 10
What is another way Christian can calculate how much he will earn in total over the 2 weeks?
Drag and drop the equivalent expression in the box.
Answer:
2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)
-Chetan K
Answer: 2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)
help me with math and ill mark brainliest
Answer:
I and II
Step-by-step explanation:
All trapezoids have a midsegment. The base angles of isosceles trapezoids are always congruent. Because the top and bottom side are parallel, the same side interior angles are supplementary not complementary.
How do I point 11,7 on the coordinate plane
Answer: Plot a point on a coordinate plane just remember that the coordinate given is of the form . Follow this simple steps
Step-by-step explanation: Identity the variable range .
Determine the scale of the graph.
Number and label each axis and title of the graph.
Show the positive and negative x-axis and y-axis
First , find the value of x on the x-axis . give x = 11 .
Find the value of y on the y-axis . given y = 7.
Mark the point x=11 in the positive x - axis
Mark the point y=7 in the positive y - axis,.
After this meet the points by the help of scale and write the co-ordinates.
For more details about graph plot click the link given below.
https://brainly.in/question/10164601
When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form .
So, first, we need to plot 11 on the -axis (the line going left to right, horizontal) then plot 7 on the -axis (the vertical line)
So we first go 11 units to the right along the -axis then go up 7 units along the -axis.
Hope this helped.
How many hours in a day?
Answer:24 hours are in a day
During second period, Janet completed a grammar worksheet.
She got 14 questions correct and 42 questions incorrect. What percentage did Janet get correct?
Answer: 50%
Step-by-step explanation:
1. “Zoe and Toria are going into business. They need 80,000 to start the business. Their investment is 3:5, respectively.
a. What's Zoe & Ares individual investment amounts?
b. What percent did each person invest?
9514 1404 393
Answer:
a. Z: 30,000; T: 50,000
b. Z: 37.5%; T: 62.5%
Step-by-step explanation:
a. The "ratio units" add up to 3+5 = 8, so we can find the investment amounts by multiplying the ratio by 10,000
Z : T = 3 : 5 = 30,000 : 50,000
Zoe invested 30,000Toria invested 50,000__
b. Zoe's investment amount is 3/8 of the total, or ...
3/8 × 100% = 37.5%
Toria's percentage is the rest of it:
100% -37.5% = 62.5%
Zoe invested 37.5% of the total; Toria invested 62.5% of the total.
Jay buys 60 square feet of tile for $324. Later, he buys another 20 square feet of tile. How much does the extra tile cost?
please answer it fast .......^-^......
Answer:
990- YES, YES, NO,YES, YES, NO, YES, YES, YES
1586- YES, NO, NO, NO, NO, NO, NO, NO, NO
275- NO, NO, NO, YES, NO, NO, NO, NO, YES
6686- YES, NO, NO, NO, NO, NO, NO, NO, NO
639210- YES, YES, NO, YES, YES, NO, NO, YES,YES
429714- YES, YES, NO, NO, YES, NO, YES, NO, NO
2856- YES, YES, YES, NO, YES, YES, NO, NO, NO
3060- YES, YES, YES, YES, YES, NO, YES, YES, NO
406839- NO, YES, NO, NO, NO, NO, NO, NO, NO
Step-by-step explanation:
hope this helped<3