Answer:
38 in
Step-by-step explanation:
114 yds divided by 3 = 38 in
Linkin Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company’s current truck (not the least of which is that it runs). The new truck would cost $55,440. Because of the increased capacity, reduced maintenance costs, and increased fuel economy, the new truck is expected to generate cost savings of $8,400. At the end of 8 years, the company will sell the truck for an estimated $27,700. Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset’s estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company’s cost of capital is 8%.
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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Which equation is an identity?
A)
3x + 4 = 5x - 1
B)
2x + 3 = 2x + 4 - 1
C)
5x = 10
D)
- 3x + 1 = -3x - 5
Answer:
B) 2x + 3 = 2x + 4 - 1
Step-by-step explanation:
A) 3x + 4 = 5x - 1
2x = 5
x = 2/5
B) 2x + 3 = 2x + 3
True
C) 5x = 10
x = 2
D) -3x + 1 = -3x - 5
False
I need help really bad! I have literally no clue what the answer is to this question
Answer: C is the answer
Answer:
The second answer: {(-1, 4),(2, 7),(3,7)} because every x value has one y value
Substitution method
-3x + 3y = 4
-x + y = 3
Children each received 1/8 of a chocolate bar. How many squares did each child receive if the chocolate had 16 squares? How many children were there?
Step-by-step explanation:
If the chocolated had 16 squares.
there we're only two children was there.
f(x)=(1/7)^x then what is f(-3)
Answer:
[tex]f(-3)=343[/tex]
Step-by-step explanation:
[tex]f(x)=(\frac{1}{7} )^x[/tex]
Plug -3 into x and solve using the negative power rule:
[tex]x^{-a}=\frac{1}{x^a}[/tex]
[tex]f(-3)=(\frac{1}{7} )^{-3} \\\\f(-3)=\frac{1}{\frac{1}{7}^3 } \\\\f(-3)=\frac{1}{\frac{1}{343} } \\\\f(-3)=343[/tex]
Sorry, those fractions got very small. Let me know if I need to clarify anything there
Use set builder notation to write the set E= {1, 3, 9, 27}
PLEASE NO SPAMMING I NEED AN ANSWER NOW
Answer:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Step-by-step explanation:
Given set:
E = {1, 3, 9, 27}We observe that:
1 = 3⁰, 3 = 3¹, 9 = 3², 27 = 3³Each term can be shown as 3ⁿ, where n is natural number between 0 and 3.
Set builder notation:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Here let's observe
1=3^03=3^19=3^227=3^3So set builder form:-
[tex]\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}[/tex]
Explain the meaning of 5?
a. 1 + 2 + 3 + 4 + 5
b. 5-4-3-2-1-0
c. 0 x 1 x 2 x 3 x 4 x 5
d. 5 ∙ 4 ∙ 3 ∙ 2 ∙ 1
Richard purchases a box of 12 cookies and Meghan purchases a bag of 10 cookies. Richard ate x amount of cookies from his box while Meagan ate half the number of cookies Richard ate. How many cookies did Richard eat if they had the same number of cookies left
Richard: 12 cookies
Meghan: 10 cookies
If Richard eats 4 cookies, then Meghan would eat half, or 2. So Richard would have 8 cookies, and Meghan would also have 8 cookies.
12 - x = 10 - x/2
If x = 4
12 - 4 = 10 - 4/2
8 = 8
Which confirms that Richard would have to eat 4 cookies for them to have the same amount.
I hope this helps! :)
What is the prime factorization of 270?
270 = 2 x 3 x 3 x 3 x 5 = 2 x 3^3 x 5
ok done. Thank to me :>
Answer:
2x3x3x3x5
Step-by-step explanation:
if your doing this on time4learning lesson type 5x2x3x3x3 to get it right it worked for me but it didnt work in any other order
What is the solution of this inequality?
r−10>−7
Drag and drop the choices to correctly complete the inequality.
r Response area Response area
Answer:
=r-10+10>-7+10
=r>3
first add +10 to the both sides so as to balance the inequality then do a simple calculation which results you to the final answer.
For r > 3, the inequality r - 10 > -7 is satisfied.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is inequality?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An inequality is a relation comparing two expressions. For example -
3x + 4 > 5
ax + b < c
We have the following inequality -
r - 10 > -7
We can write -
r - 10 > -7
r - 10 + 10 > - 7 + 10
r > 3
Therefore, for r > 3, the inequality r - 10 > -7 is satisfied.
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The figure below is a square with an area of 625 square centimeters. The length of a rectangle is 40% more than the length of the square. Find the length of the rectangle.
For a square:
A = s2, where s = side (the length and the width are the same)
625 = s2
±25 = s
length of rectangle = 1.4 · length of square
length of rectangle = 1.4(25)
length of rectangle = 35
Faktor dari bilangan 18 adalah....
Step-by-step explanation:
1 x 18, 2 x 9, dan 3 x 6. Jadi, faktor dari 18 adalah 1, 2, 3, 6, 9, dan 18.
can someone pls help me with dis ill give brainliest
9514 1404 393
Answer:
a) 9×10⁶ +1×10³ +1×10²
b) 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰
Step-by-step explanation:
The place value of each digit is 10 to a power equal to the number of places the digit is to the left of the units (ones) place. That is, the exponent of 10 is the number of zeros in the multiplier for place value.
a)9,001,100 = 9×1,000,000 +1×1,000 +1×100 = 9×10⁶ +1×10³ +1×10²
__
b)87,096,142 = 80,000,000 +7,000,000 +90,000 +6,000 +100 +40 +2
= 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰
_____
Additional comment
It is useful to learn to think of place value in this way, because it helps immensely when you convert numbers to or from scientific notation.
You may notice the powers of ten count up for places to the left of the decimal point. They count down for places to the right. That is, the tenths place has a place value that is the inverse of the tens place: 1/10 = 10⁻¹.
what are the solutions to the equation (x-2)(x-4)=8?
Answer:
=
6
=
0
Step-by-step explanation:
The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A quadratic equation (x - 2)(x - 4) = 8.
∴ x² - 4x - 2x + 8 = 8.
x² - 6x = 0.
x(x - 6) = 0.
So, x = 0 Or x - 6 = 0 ⇒ x = 6.
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You want to buy some noodles. A 7-ounce package costs $2.24. A 12-ounce package costs $4.08.
An 18-ounce package costs $5.58. Which package is the best buy?
At a coffee shop, a latte costs $5.50 and
hot tea costs $1.75. Each day, Parker
buys 2 hot teas and several lattes for
his office staff. Which equation can be
used to find y, Parker's total cost, if x
represents the number of lattes? (7.1A,
7.1B, 7.1D, 7.1F)
A y = 5.50x + 3.50
BY 5.50x + 1.75
C y = 1.75x + 5.50
Dy = 3.50x + 5.50
Answer:
A) y = 5.50x + 3.50
Step-by-step explanation:
2 x 1.75 = 3.50 + x number of lattes $5.50 each.
if someone helps me with dis ill give u brainliest
Answer:
4 different answers
Step-by-step explanation:
1.
[(24/3) + (5*2^2)] = 28
2.
[(3 + 5) * 2^2 )]/24 = 32/24 = 4/3
3.
[(24/3 + 5)*2^2] = 52
4.
[(3 + 5*2^2)/24] = 23/24
Answer:
Step-by-step explanation:
1 - 2 + 10 o lw. First find a common denominator. 3 * 5 ... Divide the fraction to get a decimal answer. 21 into a an. Jinit. 5 = 1.25. Find a common.
Plz solve. The question is in the picture. 100 points and brainliest.
Answer:
A
Step-by-step explanation:
Consider the following equation.
x+2y=4
Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.
solve the following pair of equations graphically and verify them: 3x+y=7 x≃2y please help me
Answer:
(2, 1)
Step-by-step explanation:
graph 3x+y=7 and x=2y
make both slope intercept form for easier graphing
y=-3x+7
2y=x, y=1/2x
(2, 1)
check
3*2+1=7
6+1=7
7=7
1=1/2*2
1=1
Executives for a company that prints logos on products are expanding the company's services to include souvenirs such as hats, shirts, and foam fingers for sports teams. The data they collected from a sample of 300 adults about their favorite sport to watch and their favorite souvenir to buy are shown in the table.
Answer:
0.01
Step-by-step explanation:
the number of participants that prefer a t-shirt and prefer soccer is 3, since this is out of 300 we have 3/300 or 0.01
The points (-1, 4) and (2, 9) lie on a line.
What is the slope of the line?
Answer:
[tex]\displaystyle m = \frac{5}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-1, 4)
Point (2, 9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{9 - 4}{2 + 1}[/tex][Order of Operations] Simplify: [tex]\displaystyle m = \frac{5}{3}[/tex]Ignore the numbers
Help me how do I do this question
Answer:
He will not have enough money
Step-by-step explanation:
you were able to identify the total area
which is 72+42 = 114 m^2
each tin covers 12 m^2,
114/12 = 9.5, so will need 10 tins (can't buy half a tin)
each tin cost 19£, so 10 will cost
10*19=190£
Caretaker will not have enough money
he is 60£ short
What is the solution to
4
+ 5 = 2 ?
X-3
Answer:
what you men
Step-by-step explanation:
Answer:
This may not be right, but I tried! I believe its 6.
Step-by-step explanation:
solve for x, x-c=r+d/y
Answer:
D
Step-by-step explanation:
x - c = (r + d)/y for x
x = (r +d)/y + c common denominator : (c/1) (y/1) = yc
x = (r + d)/y + yc
x = (yc + r + d)/ y
Scores in the first and final round for a sample of 8 golfers who completed golf tournament as shown below. Golfer First Round Final Round 1 73 78 2 68 75 3 70 66 4 67 71 5 71 73 6 70 68 7 68 65 8 73 72 a. State any appropriate hypothesis that can be tested for the above data. Use 2% level of significance to test the stated hypothesis. Use p-value approach
Answer:
golfing is fun but not to fun
Step-by-step explanation:
3. Marilyn hit a golf ball on the ground with her driver. Use
the general function for a projectile to write a function
that shows the height in feet of her golf ball as a function
of time. The ball was hit with an initial vertical velocity of
130 feet per second.
h(t) = -16t2 + 130t
a) How long will Marilyn's ball stay in the air?
b) What was the maximum height of the ball?
It will take the ball 4.0625secs to stay in the air
The maximum height of the ball is 264.0625m
Given the function representing the height reached by the golf expressed as;
h(t) = -16t^2 + 130t
The velocity function is expressed as:
v(t) = -32t + 130
At maximum height, the velocity of the ball will be zero, i.e v(t) = 0
0 = -32t + 130
32t = 130
t = 130/32
t = 4.0625
Hence it will take the ball 4.0625secs to stay in the air
b) Substitute t = 4.0625 into the height function to have:
h(t) = -16t^2 + 130t
h(t) = -16(4.0625)^2 + 130(4.0625)
h(4.0625) = -264.0625 + 528.125
h(t) = 264.0625m
Hence the maximum height of the ball is 264.0625m
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Roberto bikes for 5.2 hours and covers a distance of 49.4 miles. Eileen bikes for 2.5 hours and covers a distance of 20.5 miles.
Assuming both Roberto and Eileen bike at a constant speed, who was biking faster and by how much? Select from the drop down menus to correctly answer the question. Choose... bikes faster than Choose... by Choose... mi/h.
Answer:
Roberto bikes faster than Eileen by 1.3 mi/h
Step-by-step explanation:
Roberto bikes at 49.4/5.2=9.5 mi/h
Eileen bikes at 20.5/2.5=8.2 mi/h
9.5-8.2=1.3
So Roberto bikes faster than Eileen by 1.3 mi/h
What is the gradient of the graph shown ? Give your answer in its simplest form
Answer:
-2
Step-by-step explanation:
choose any point on the graph
Answer:
Step-by-step explanation:
Yo you man its 3