The annual cash flow of HCO's investment of $2,000 in equipment is $600.
Data and Calculations:
Investment in equipment = $2,000
Annual reduction in labor costs = $550
Project duration = 5 years
Annual cash flow of the investment = $600 ($2,000 x 25% + $2,000 x 1/5 x 25%)
Thus, the annual cash flow of the investment is $600.
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3. Let : (0,1] → R be defined by 0 ifr> Let e > 0. Prove that there exists a partition, P. of (0,1) with S(f,P) -s(f,p)<€
Step-by-step explanation:
defined by 0 ifr> Let e > 0. Prove that there exists a partition, P. of (0,1) with ... - did not match any documents.
Suggestions:
Combine these radicals
3✓2 - 5 ✓2. BRAINLIEST
Answer: A, first one
Step-by-step explanation: screenshot
2. State two (2) values of θ (theta) to the nearest degree for
sin θ = − 0. 966
Using equivalent angles, the solutions to the equation are given as follows:
\(\theta = 255^\circ, \theta = 285^\circ\)
What are equivalent angles?Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
In this problem, the equation is:
\(\sin{\theta} = -0.966\)
Applying the inverse relation:
\(\theta = \arcsin{-0.966} = 255^\circ\)
Which is on the third quadrant. The equivalent angle on the fourth quadrant is given as follows:
\(270^\circ + (270^\circ - 255^\circ) = 285^\circ\)
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Find f. f ″(x) = x^−2, x > 0, f(1) = 0, f(6) = 0
If you do in fact mean \(f(1)=f(6)=0\) (as opposed to one of these being the derivative of \(f\) at some point), then integrating twice gives
\(f''(x) = -\dfrac1{x^2}\)
\(f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1\)
\(f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2\)
From the initial conditions, we find
\(f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0\)
\(f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)\)
Eliminating \(C_2\), we get
\((C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))\)
\(-5C_1 = \ln(6)\)
\(C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)\)
Then
\(\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}\)
What numbers are equivalent to 25%
Answer:
0.25 decimal
1/4 decimal
Step-by-step explanation:
There are 4 circles and 2 squares. What is the simplest ratio of squares to circles?
Hurry Answer very important
Answer:
1:2
Step-by-step explanation:
it asks for it in the order of squares to circles, and wants it in simplest form. 4 and 2 are both divisible by two, so its now 2 and 1. so now, you have to put the square number first, and the circle second. So, it is 1:2
If f(x)=6x-2, what is the value of f(4)?
Please explain I don’t understand these questions.
Answer:
I think it might be 16 or 24.
Step-by-step explanation:
Pardon if I'm wrong.
Consider the two-node circuit shown below:
The node voltages V₁ and V₂ (in volts) satisfy the following system of equations:
15V₁ = 7V₂ + 60
3V₂ + 10 = 3V₁
a) Write the system of equations in the matrix form AV-B, where V = [V1, V2]
b) Find V₁ and V₂ using the matrix algebra method. Perform all matrix computations and show all steps.
a) The system of equations can be written in the matrix form AV-B as: | -3 3 | | V2 | | -10 |
b) V1 = 369/22 volts and V2 = -51/22 volts.
What is matrix?A matrix is a rectangular array of numbers or symbols, arranged in rows and columns. Matrices are often used in mathematics, science, engineering, and other fields to represent and manipulate data, perform operations, and solve equations. The size of a matrix is determined by the number of rows and columns it contains, and is usually written in the form "m x n", where "m" is the number of rows and "n" is the number of columns. Matrices can be added, subtracted, multiplied, transposed, and inverted, and can be used to represent a wide range of mathematical objects, including systems of linear equations, transformations, and graphs.
a) The system of equations can be written in the matrix form AV-B as:
| 15 -7 | | V1 | | 60 |
| | x | | = | |
| -3 3 | | V2 | | -10 |
b) To solve for V1 and V2 using matrix algebra, we can use the inverse of matrix A as follows:
AV = B
V = A⁻¹B
First, let's find the inverse of matrix A:
A = | 15 -7 |
| -3 3 |
To find the inverse of A, we need to calculate the determinant of A:
det(A) = (15)(3) - (-7)(-3) = 66
Then, we can find the inverse of A as follows:
A⁻¹ = (1/det(A)) x | 3 7 |
| 3 15 |
Now, we can solve for V by multiplying A⁻¹ and B:
| V1 | | 3 7 | | 60 | | 369/22 |
| | = | | x | | = | |
| V2 | | 3 15 | |-10 | | -51/22 |
Therefore, V1 = 369/22 volts and V2 = -51/22 volts.
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A quadratic function has a vertex at (3, -10) and passes through the point (0, 8). Which of the following equations best represents the function? O y = 2(x+3)² +8 O y = 2(x+3)² – 10 Oy=(x-3)²-10 O y = 2(x-3)² – 10
\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)
what is volume and how is it measured?
Answer: Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. ... Volume is often quantified numerically using the SI derived unit, the cubic metre.
Step-by-step explanation:
SI unit: Cubic metre
Other units: Litre, fluid ounce, gallon, quart, pint, ...
In SI base units: 1 m3
Dimension: L3
Given g(x) = (x+2) f(x) = 3x+1. find (Fog)(x)
Answer:
they ask for composite functions better do online search
here you go
= 3(x+2)+1
The amount of a radioactive material changes with time. The table below shows the amount of radioactive material (t) left after time t: t(hours) 0 1 2 f(t) 100 50 25 Which exponential function best represents the relationship between f(t) and t?
The exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)
How to determine the exponential function that best represents the relationship between f(t) and t?From the question, we have the following parameters that can be used in our computation:
t f(t)
0 100
1 50
2 25
From the above, we have the following
Initial value, a = 100
Rate, b = 50/100
Evaluate
b = 0.5
The function is represented as
\(f(t) =ab^t\)
So, we have
\(f(t) =100(0.5)^t\)
Hence, the exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)
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Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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PLS HELP I WILL GIVE BRAINLYEST!!!
Explanation:
Make a graph with interval -2 ≤ x ≤ 2
Then graph the function: f(x) = x + 3
Table:
\(\begin{array}{| c | c | }\cline{1-2} \sf x & \sf y \\\cline{1-2} -2 & 1 \\\cline{1-2} -1 & 2 \\\cline{1-2} 0 & 3 \\\cline{1-2} 1 & 4 \\\cline{1-2} 2 & 5 \\\cline{1-2}\end{array}\)
Plot these coordinates and draw a smooth line through these coordinates.
i dont understand this
We can Add 7 black beads to make ratio 3 : 1.
Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.
There are three white beads in the picture.
Total beads we will have (b meaning black)b : 3
Ratio black : white beads 3 : 1
Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.
Find common ratio by dividing total by ratio white beads: 3/1 = 3
Multiply ratio black beads by common ratio. 3 X 3 = 9
We need 9 black beads in total.
Check answer
9 : 3
Both sides divisible by 3; reduce ratio
= 3 : 1
Which is Correct ratio
Hence, There will be a total of 9 black beads, but we already have 2 black beads:
(9 total) - (2 original) = (7 to add)
Therefore , we need to add 7 black beads.
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playstation or xbox be smart
Xbox and PlayStation both have their own good features but Xbox wins overall against PlayStation in specs, games, graphics, streaming, remote play, UI and basically everything.
I have played both btw
Any arguments in the comment section
Answer:
Depends
Step-by-step explanation:
If you want better exclusives get a playstation.
UI the playstation UI is better because it is simple.
Game subscriptions. xbox game pass subscription is better because it has more games and most games get released on game pass as soon as they release.
You are going to play mini golf. A ball machine that contains 23 green golf balls, 24 red golf balls, 17 blue golf balls, and 17 yellow golf balls, randomly gives you yourball. What is the probability that you end up with a blue golf ball? Express your answer as a simplified fraction or a decimal rounded to four decimal places.AnswerTablesKeypad
To answer this question we will use the following expression to compute the probability that an event occurs:
\(\frac{FavorableOutcomes}{TotalOutcomes}.\)Notice that there are a total of:
\(23+24+17+17=81\)golf balls in the ball machine, from which 17 are blue.
Therefore the probability that the machine give us a blue golf ball is:
\(\frac{17}{81}.\)Answer:
\(\frac{17}{81}.\)Online concerts tickets cost 37$ each, plus a service charge of 8.50$ per ticket. The web site also charges a transaction fee of 14.99$ for the purchase. You paid 242.49$. How many tickets did you buy?
Answer:
5 tickets
Step-by-step explanation:
45.50t + 14.99 = 242.49
-14.99 -14.99
45.50t = 227.5
t = 5
he Golfing Emporium had a set of 10 golf clubs that were marked on sale for $780. This was a discount of 30% off the original selling price.
Step 2 of 4 : If the golf clubs cost The Golfing Emporium $620, what was their profit? Follow the problem-solving process and round your answer to the nearest cent, if necessary.
The profit for the Golfing Emporium is $160.
How to get the profit?
We know that profit is defined as the difference between the revenue and the cost.
Here, we know that on the sale, the Golfing Emporium sells the set of clubs at $780 (this is the already discounted price).
While when they buy the set, the pay $620 for it.
Then the profit is given by:
P = $780 - $620 = $160
The profit for the Golfing Emporium is $160.
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Carly took a $7,000, 3-year loan with an APR of 3.15%.
A)What is the monthly payment? B)What is the total amount of the monthly payments? C)What is the finance charge?
Answer:
A: 219.84
B: 219.84 x 36 = 7914.21
C: 7914.21 - 7000 = 914.24
Step-by-step explanation:
When Carly took a $7,000, 3-year loan with an APR of 3.15%, then
The monthly payment for the same will be $213.40The total amount of monthly payments will be $7,682.55; and The amount of finance charge for the same will be $682.55. What is the significance of monthly payments?Monthly payments can be referred to or considered as the monthly amount paid towards the partial repayment of a loan or an advance taken at a predetermined interest rate and time period.
Compounded Annuity = 7000(1+0.0315)^3
Compounded Annuity = $7,682.55.
Now, the amount of monthly payments for 3 years, or 36 months will be
Monthly payments = 7682.55 / 36
Monthly payments = $213.40
Finance Charge = Annuity – Principal
Finance Charge = 7682.55-7000
Finance Charge = $682.55
Therefore, the significance regarding monthly payments and the amounts of finance charge for the given condition has been aforementioned.
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(Write a sentence equation ) There are 3 lambs .Each lamb has 4 legs. How many legs are there on 3 Lambs?
Answer:
Well its basically 3 x 4 = 12, so for every lamb add four legs until you get to three
Step-by-step explanation:
Two angles of a triangle measure 12º and 40°.
What is the measure of the third angle of the triangle?
A. 38°
B. 48°
C. 128°
D. 308
Answer:
12+40= 52
180-52=128
Step-by-step explanation:
Angles in a triangle add up to 180
so if two sides are given , they must be added and subtracted from 180.
which gives us 180-52=128
Answer:
the angle is 128°
the right answer is C
Step-by-step explanation:
the angles of a triangle are always 180°
thus
the angle of the the triangle = 180° - (12°+40°)
= 180- 52° = 128°
It is reported that the wild tiger population has declined by 97%
over the last 20 years.
There are now 3200 tigers left in the wild.
To the nearest thousand, how many wild tigers were there 20 years ago?
The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.
Determine Percentage decrease theory.The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.
This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.
For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.
This question is using the percentage decrease theory. According to this theory,
you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.
Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).
Original - Current = Change
120,000 - 3200 = 116,800
Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)
Change / Original = Percentage Change
116,800 / 120,000 = 97%
Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)
Percentage Change x Original = Estimated Original
97% x 120,000 = 116,400
Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.
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g bar graphs (aka. column charts) with error bars are used to show the comparison between two variables, not the relationship.truefalse
True. bar graphs (aka. column charts) with error bars are used to show the comparison between two variables, not the relationship.
What are error bars?A confidence intervals bar chart (shown as red lines)
In graphs, error bars are used to graphically show data variability and to denote error or uncertainty in reported measurements. They provide a basic indication of a measurement's accuracy or, alternatively, how far the true (error-free) value may deviate from the reported value. The standard deviation of uncertainty, the standard error, or a specific confidence range (such a 95% interval) are frequently represented as error bars. Due to the fact that these values are not the same, the measure chosen needs to be specified clearly in the graph or supporting text.
According to the definition the statement is true.
True. bar graphs (aka. column charts) with error bars are used to show the comparison between two variables, not the relationship.
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What ratio is equivalent to 8/6
Answer:
3rd option: 32/24
Step-by-step explanation:
8/6 = 4/3
1st option: Now let's change the denominator to 24:
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
2nd option: Now let's change the numerator to 24:
4/3 ==> 24/?
4/3 =
4*6 / 3*6 = 24/18, not 24/32
24/32 = 3/4, not 4/3 ==> don't get confused by this
3rd option: 32/24 is correct [Look at the explanation for 1st option]
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
Hence, the 3rd option is correct.
Help me pleaseee
The bottom number is a 4 btw it’s 20 points ❤️
Answer: It is 20 m, multiply each number by 1.25
The test score for the math class are shown below 83,85, 82,93, 83,84, 95,87, 86,94 what are the mean median and mode of the data set
Answer:
Mode is 83
Median is 85
Step-by-step explanation:
To find the median: Arrange the data points from smallest to largest.
To find the mode: Place all numbers in a given set in order; this can be from lowest to highest or highest to lowest, and then count how many times each number appears in the set
Please help brainlist. <3
Answer:The graph line has to go through the origin in order for it to be proportional .In a proportional relationship, one variable is always a constant value. Only have 2
Step-by-step explanation:
A circle has a radius of 6 meters. What is the circumference of the circle?
OA) 12 m
OB) 9 m
OC) 6am
OD) 37 m
The seating for outdoor stage is arranged such 11 seat in the first row each addition seat row after first row there are 3 more seats than there in previous if there are 30 rows altogether how many seats in all