SM Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $435,000 is estimated to result in $164,000 in annual pretax cost savings. The press is eligible for 100 percent bonus depreciation and it will have a salvage value at the end of the project of $65,000. The press also requires an initial investment in spare parts inventory of $17,000, along with an additional $4,000 in inventory for each succeeding year of the project. The shop’s tax rate is 25 percent and its discount rate is 12 percent.

Answer

z= 14

Step-by-step explanation:

4( 2z-3) -5(z-6) =3 *20

8z-12-5z+30=60

3z+18=60

3z=60-18

3z=42

z= 14

\( \frac{2z - 3}{5} - \frac{z - 6}{4} = 3 \\ = > \frac{4(2z - 3) - 5(z - 6)}{20} = 3 \\ = > \frac{8z - 12 - 5z + 30}{20} = 3 \\ = > \frac{3z + 18}{20} = 3 \\ = > 3z + 18 = 3 \times 20 \\ = > 3z + 18 = 60 \\ = > 3z = 60 - 18 \\ = > 3z = 42 \\ = > z = \frac{42}{3} \\ = > z = 14\)

Answer:

z = 14

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:

`y = a * b^(x - h) + k`

where:

- `y` is the quantity you're interested in (cell phone usage),

- `a` is the initial quantity (34 million in 1995),

- `b` is the growth factor (1.22, representing 22% growth per year),

- `x` is the time (the year),

- `h` is the time at which the initial quantity `a` is given (1995), and

- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).

So, our specific model becomes:

`y = 34 * 1.22^(x - 1995)`

To find the cellular usage in 2003, we plug 2003 in for x:

`y = 34 * 1.22^(2003 - 1995)`

Calculating this out will give us the cellular usage in 2003.

Let's calculate this:

`y = 34 * 1.22^(2003 - 1995)`

So,

`y = 34 * 1.22^8`

Calculating the above expression gives us:

`y ≈ 97.97` million.

So, the cellular phone usage in 2003, according to this model, is approximately 98 million.

Note:

Your questions sound a little unclear.

But, I am assuming your questions as:

''70% of x is 14 min. Find the value of x''.

So, I will solve assuming this statement which anyways would clear your concept.

Answer:

The value of x = 20.

Step-by-step explanation:

Given

''70% of x is 14 min. Find the value of x''.

Thus,

70% of x = 14

70/100 × x = 14

0.7x = 14

divide both sides by 0.7

0.7x/0.7 = 14/0.7

x = 20

Therefore, we conclude that the value of x = 20.

Answer:

After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected

As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that

H₀ > z

Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.

Step-by-step explanation:

critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;

reject H₀

There is sufficient evidence to reject the claim.

The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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Step-by-step explanation:

speed = distance/ time

=> (x+4)/(x²-16) => (x+4)/(x+4)(x-4) => 1/(x-4) km/h.

hope this helps you.

Answer:

Since the sum is 38, y must be 15. And indeed the difference between 23 and 15 is 8, so it's correct.

Answer:

15 & 23

Step-by-step explanation:

I used an insert and check kind of method. Basically you insert numbers and check if they work for both equations. the equations are as follow:

X + Y = 38

X - Y = 8

I inserted various combinations of numbers and we'll use one as reference.

I used 16 and 22. 16 and 22 correctly fits the requirements of the first equation but when we do 22 - 16 we see that it equals 6. this is 2 off from the second equation. Using this info I ask myself, was the answer close or far from the answer needed.

Hope this answered any questions. please comment on this if you need any othern have a nice day!

Answer:

486 feet will reached after 5.25 seconds, when rounded to nearest tenth would be 5.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 1/4

Answer:là

5

với số dư

1

.

5

1

4

Step-by-step explanation:

The estimate of the sum of the points is 47/45

From the question, we have the following parameters that can be used in our computation:

Points = 6/10 and 4/9

Using the given number line (see attachment), we have the sum expression to be

Sum = 6/10 + 4/9

Evaluate the sum

So, we have the following representation

Sum = 94/90

Simplify

Sum = 47/45

Hence, the sum of the points is 47/45

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A service call charge or fee is when you are charged a certain amount of money in order for a service technician to perform that specfic service.

Hi Student!

This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression.  So let's plug in the values and solve.

Plug in the values

Factor out the exponent

Combine

Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.

Answer:

y = (-1/3)x + 2

Step-by-step explanation:

Since points (3,1) and (-6,4) lie on y = (-1/3)x + c , it should satisfy the this equation. Thus, intercept is 2.

Answer:

m = -⅓

Step-by-step explanation:

m = (y2- y1)/(x2 - x1)

m = (4 -1)/(-6-3)

m = -⅓

Answer:

-13.5

Step-by-step explanation:

take number as x

3x-12=5x+15

-2x=27

x=27/-2

x=-13.5

Answer:

f (7x-6)=28x-29

Step-by-step explanation:

f (7x-6)=28x-29

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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In a casee whereby Annette bought 8 dozen eggs from Mr. Joseph's Farm Store for $2,800.00 the price per dozen is $350 per dozen

The concept that will be use here is division. Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.

The total  dozen = 8 dozen eggs

The total price of the 8 dozen eggs $2,800.00

The price per dozen = $2,800.00/ 8 dozen

=$350 per dozen

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Answer:

7

Step-by-step explanation:

(a^3 - b^3) / 5

Let a=2 and b = -3

Do the exponents inside the parentheses

(2^3 -  (-3)^3) / 5

Then add

(8 - (-27))/5

Subtracting a negative is like adding

(8+27)/5

( 35)/5

7

Answer: 7

Step-by-step explanation:

3 x 3 = 9 - 2(3)+4

9-6+4

=7

The numeric values for this problem are given as follows:

The function in this problem is a piecewise function, meaning that it has different definitions based on the input x of the function.

For x between -2 and 2, the function is defined as follows:

g(x) = -(x - 1)² + 2.

Hence the numeric value at x = -1 is given as follows:

g(-1) = -(-1 - 1)² + 2 = -4 + 2 = -2.

For x at x = 2 and greater, the function is given as follows:

g(x) = 0.5x - 1.

Hence the numeric values at x = 2 and x = 3 are given as follows:

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Answer:5SQRT61/

61

Step-by-step explanation:

Answer:

D. If I do not listen to this song, then it will not get stuck in my head.

Step-by-step explanation:

Answer:

"If I don't listen to this song, then it won't get stuck in my head."

Answer:

1

Step-by-step explanation:

48 / 48 = 1

The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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f'(x) = 0 * x^(-2) + (-2/x^3) = -2/x^3.

So, the derivative of f(x) = 2/x^2 is f'(x) = -2/x^3.

To find f'(x) for the function f(x) = x + 2, we can use the power rule for derivatives.

The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).

In this case, the function f(x) = x + 2 can be written as f(x) = x^1 + 2.

Applying the power rule, we differentiate each term separately:

f'(x) = d/dx (x^1) + d/dx (2)

The derivative of x^1 is 1x^(1-1) = 1x^0 = 1.

The derivative of a constant term like 2 is 0, as the derivative of a constant is always 0.

Therefore, f'(x) = 1 + 0 = 1.

So, the derivative of f(x) = x + 2 is f'(x) = 1.

To find f'(x) for the function f(x) = 2/x^2, we can use the power rule and the constant multiple rule.

The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).

The constant multiple rule states that if we have a function of the form f(x) = cg(x), where c is a constant, then the derivative is given by f'(x) = cg'(x), where g'(x) is the derivative of g(x).

In this case, the function f(x) = 2/x^2 can be written as f(x) = 2 * x^(-2).

Applying the power rule and the constant multiple rule, we differentiate each term separately:

f'(x) = d/dx (2 * x^(-2))

Applying the constant multiple rule, the derivative of 2 is 0, as it is a constant term.

Applying the power rule, the derivative of x^(-2) is (-2) * x^(-2-1) = (-2) * x^(-3) = -2/x^3.

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Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

The rate at which the depth of the liquid is increasing when it reaches one-third of the height of the bowl is (7/3)π cm³/s.

To ascertain the rate at which the liquid's depth rises, let's find the derivative of the depth function with respect to time.

Let;

The rate of change of the volume of the liquid with respect to time is constant and equal to 7π cm³/s.

To determine the height of the bowl, we can evaluate the curve y = [-4 / (8 - x)] - 1 when x = 4 and y = 7.6 and then find the absolute difference between the values.

h = |[-4 / (8 - 4)] - 1 - [-4 / (8 - 7.6)] - 1|

Let's calculate the rate at which the depth rises when it reaches one-third of the bowl's height.

D = depth of bowl

Using this relationship from the question given;

D = (1/3) * h

In order to determine the rate at which D will change with respect to time, let's differentiate both sides of the equation.

dD/dt = (1/3) * dh/dt

Since dh/dt is the rate at which the depth of the liquid is changing, which is constant and equal to 7π cm³/s, we can substitute it into the equation:

dD/dt = (1/3) * (7π)

Simplifying, we have:

dD/dt = (7/3)π cm³/s

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Answer:

Step-by-step explanation:

Diagonals of a parallelogram bisect each other.

Intersection point is the midpoint of either diagonal.

Let's take QS and calculate midpoint using midpoint formula:

Point (-0.5, 2) is the answer