Given the function f(x) =3x^2-6x-9 is the point (1,-12) on the graph of f?

Given The Function F(x) =3x^2-6x-9 Is The Point (1,-12) On The Graph Of F?

Answers

Answer 1

Answer: Yes

Step-by-step explanation:

For questions like this, youve been given a value for x, and a value for y.

Plug in and see if it works out!

[tex]3x^2- 6x - 9 = y[/tex]

[tex]3(1)^2- 6(1) - 9 = -12[/tex]      ----- Plugging in for x and y

[tex]3 - 6 - 9 = -12[/tex]

[tex]-12 = -12[/tex]

Since -12 is indeed equal to -12, we conclude the statement is true;

In terms of the graph, this translates to, "Yes, the point (1, -12) is on the graph of [tex]y = 3x^2- 6x - 9[/tex]

So your answer is Yes


Related Questions

Verify the following identity. To transform the left side into the right side, should be changed to and the left side simplified.

Answers

To transform the left-hand side of the given identity "1 + cos(2x)" into the right-hand side "[tex]2cos^2(x)[/tex]", the expression "1" should be changed to "[tex]2sin^2(x)[/tex]" and the left-hand side should be simplified.

What is the meaning of trignometric identities?

Trigonometric identities are mathematical equations that may be used to express trigonometric functions. These identities, which are also used to solve trigonometric equations, can be utilised to simplify and manage trigonometric expressions.

Trigonometric identities, which are derived from the geometric properties of triangles and the unit circle, provide a way to describe trigonometric functions in terms of other trigonometric functions or constants. In many areas of mathematics, physics, engineering, and other fields where trigonometry is used, they are commonly used.

Replacing  "1" with "[tex]2sin^2(x)[/tex]".

[tex]1 + cos(2x) -- > 2sin^2(x) + cos(2x)[/tex]

Using the double angle formula for cosine

The double angle formula for cosine is: cos(2x) = [tex]2cos^2(x) - 1[/tex]

Substitute the double angle formula into the expression for cos(2x) on the left-hand side.

[tex]2sin^2(x) + cos(2x) -- > 2sin^2(x) + (2cos^2(x) - 1)[/tex]  [Substitute cos(2x) with [tex]2cos^2(x) - 1[/tex]]

Simplify the expression on the left-hand side.

[tex]2sin^2(x) + (2cos^2(x) - 1) -- > 2sin^2(x) + 2cos^2(x) - 1[/tex] [Simplify using distributive property]

[tex]2sin^2(x) + 2cos^2(x) - 1 -- > 2(sin^2(x) + cos^2(x)) - 1[/tex] [Apply trigonometric identity [tex]sin^2(x) + cos^2(x) = 1[/tex]]

[tex]2(sin^2(x) + cos^2(x)) - 1 -- > 2(1) - 1[/tex] [Substitute [tex]sin^2(x) + cos^2(x)[/tex]with 1]

[tex]2(1) - 1 -- > 2 - 1\\2 - 1 -- > 1[/tex]

So, following simplification, the left-hand side equation "1 + cos(2x)" may be changed into "1." As a result, "1" in the equation needs to be altered to "2sin(x)" and the left side should be simplified to "1".

Learn more about Trignometric identities here:

https://brainly.com/question/29024806

#SPJ1

Find the area. ( Hint: First find x . )

Answers

Answer:

Step-by-step explanation:

in question no. 17

base=x

perpendicular=9

hipotanus=15

by applying pythagorus

(x)² + (9)² = (15)²

x=√(15)²-(9)²

x= √225-81

x=√144 = 12

now area of triangle = 1/2 ×base×height

= 1/2 × 12 × 9 = 54

area of figure 17 = 54 × 2 = 108

Write the equation of the line that passes through the points (−9,1) and (−6,−1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answers

To find the equation of the line that passes through the points (-9, 1) and (-6, -1), we first need to find the slope of the line using the slope formula:

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

where (x1, y1) = (-9, 1) and (x2, y2) = (-6, -1)

slope = (-1 - 1) / (-6 - (-9))
slope = (-2) / 3
slope = -2/3

Now, we can use the point-slope form of the equation of a line to find the equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is one of the given points.

Using the point (-9, 1), we get:

y - 1 = (-2/3)(x - (-9))
y - 1 = (-2/3)(x + 9)

This is the equation of the line in point-slope form. We can simplify it further by distributing the -2/3:

y - 1 = (-2/3)x - 6
y = (-2/3)x - 5

So the equation of the line that passes through the points (-9, 1) and (-6, -1) is y = (-2/3)x - 5.

1. a || b
2. k || m
3. Not enough information

Answers

The correct answer is "not enough information to prove any parallel lines."

What is the special property of two parallel lines?

If two lines in a two-dimensional plane are parallel, then the corresponding angles formed by a transversal (a line that intersects both lines) are congruent (i.e., they have the same measure).

Additionally, the alternate interior angles (angles that are on opposite sides of the transversal and inside the pair of parallel lines), as well as the corresponding angles (angles that are in the same position relative to the transversal on the two parallel lines), are also congruent.

In the given diagram, line k is parallel to m, while line a is also parallel to line b but forming a transverse line to line k and line m. Also line k and line m form a transverse line to lines a and b.

So we can conclude that not enough information to prove any parallel lines.

Learn more about parallel lines here: https://brainly.com/question/16742265

#SPJ1

A right rectangular prism has a length of 15 cm width of 10 cm and a height of 5 cm savanna claims that doubling the length width and height of the prism will double its surface area is Savannah, correct?

Answers

No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

What is surface area?

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

To know more about surface area click-
http://brainly.com/question/16519513
#SPJ1

No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

What is surface area?

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

To know more about surface area click-
http://brainly.com/question/16519513
#SPJ1

Which is the Which is the completely factored form of 4x2 + 28x + 49?

(x + 7)(4x + 7)
4(x + 7)(x + 7)
(2x + 7)(2x + 7)
2(x + 7)(x + 7)
completely factored form of 4x2 + 28x + 49?

Answers

(2x+7)(2x+7) = 4x^2 + 28x + 49

PLS HELP I NEED ASAP PLS

Answers

The number of volumes of the encyclopedia on the bottom shelf is given as follows:

H) 19.

How to obtain the number of volumes of the encyclopedia?

The number of volumes of the encyclopedia on the bottom shelf obtained as the subtraction between the highest number and the lowest number identifying the numbers, adding one.

We add one as the amount of numbers between n and n + 1, inclusive, is of n + 2. For example, between 12 and 13, we have two numbers.

Then the number of volumes of the encyclopedia on the bottom shelf is given as follows:7

30 - 12 + 1 = 19.

More can be learned about the subtraction between two amounts at https://brainly.com/question/17301989

#SPJ1

The figure shows an isosceles right triangle. What is the length of the hypotenuse? Show your work.

Answers

The length of the hypotenuse is 4√2.

What is the Pythagoras theorem?

A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem or Pythagoras' theorem. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides.

Here, we have

Given: base = 4

perpendicular = 4

We have to find the length of the hypotenuse.

We apply here Pythagoras theorem and we get

b² + p² = h²

(4)² + (4)² = h²

16 + 16 =  h²

32 =  h²

h = 4√2

Hence, the length of the hypotenuse is 4√2.

To learn more about the Pythagoras theorem from the given link

https://brainly.com/question/31146786

#SPJ1

What is escape room answer for a high reward please

Answers

Answer:

840, 14

Step-by-step explanation:

(a.) In order to solve a, we first need to solve b since we're essentially dealing with proportions.

(b.) Our proportion to solve for miles per gallon is 350 miles / 25 gallons = x miles / 1 gallon where we solve for x:

[tex]\frac{350}{25}=\frac{x}{1}\\ \\ 25x=350\\\\x=14[/tex]

Thus, the gas mileage is 14 miles per gallon

(a.) Now, we can solve for part a. using the proportion x miles / 60 gallons = 14 miles / 1 gallon:

[tex]\frac{x}{60}=\frac{14}{1}\\ \\ x=840[/tex]

MEDICO Corporation makes several portable electronic devices used in hospitals. Some of these products require rechargeable batteries that MEDICO purchases from various suppliers. Although they try to find them at the best price, they must also consider the quality. In one case, two suppliers were being considered, and batteries were selected from various purchase dates. A test was run on the time the batteries would last in a certain device before it had to be recharged. The results are given in the table below.

Sample Statistics for Survey of Batteries
Supplier Number of Batteries Used in Test Mean Life Standard Deviation
Power+ 45 24 hours 5.1 hours
Electro 61 22 hours 2.6 hours
a) Set up the null and alternative hypotheses to see if the data supports the conclusion that the rechargeable batteries sold by Power+ last longer.
b) Check the conditions.
c) Calculate the test statistic.
d) Find the p-value.
e) Using α = 0.05, state your conclusion in the context of the problem.

Answers

The null hypothesis states that there is no distinction between the mean shelf life of the rechargeable batteries marketed by Power+ and Electro. Whereas, the alternative suggestion maintains that the mean duration of the batteries sold by Power+ stands greater than that of Electro.

The test statistic is 2.24

How to explain the statistics

Utilizing a t-distribution with degrees of freedom akin to the entire sample size minus two (df = n1 + n2 - 2 = 104) alongside the derived test statistic, the p-value can be accessed via calculator or software as 0.014.

As the figure procured from the p-value is lower than the significance level α = 0.05, we invalidate the null positing. The evidence warrants corroborating the allegation that the rechargeable batteries proffered by Power+ remain usable for longer than those provided by Electro.

Learn more about statistic on

https://brainly.com/question/15525560

#SPJ1

reflect the figure over the line y= -2x - 1

Answers

The reflection of the figure over y = -2x - 1 is attached accordingly.

What is reflection in math?

A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a fixed point set; this set is known as the axis or plane of reflection.

Because the line of reflection has a slope of -1/2, each image point will be on a line with a slope of 2 that passes through the associated pre-image point.

It might be simplest to count the grid squares between the pre-image point and the line, then from the line to the image point's location. Those measurements will be the same.

The second attachment shows the mirrored image.

Learn more about reflection:
https://brainly.com/question/30270479
#SPJ1

a local team has 25 players, 30% of them are left handed. how many playrs are left handed

Answers

Step-by-step explanation:

30 % of 25 is

                 .30  *  25 = ~ 8 left handed   ( rounded)

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Answers

Answer:

  see attached

Step-by-step explanation:

You want the 2-way table filled based on the descriptions of its contents.

Total

The total number of students surveyed (240) goes in blank 9, where row and column headings are both "Total".

35%

The number 35% × 240 = 84 goes in blank 7, the total number interested in athletics.

3/5

The number 3/5 × 240 = 144 goes in blank 3, the total number interested in academic clubs.

26

The number 26 goes in blank 1, which is in row 1 (interested in academic clubs) and in column 1 (interested in athletics). It is the number interested in both.

Differences

Blank 2 is the difference between blank 3 and blank 1. It makes the total for the line be correct.

Blank 4 is the difference between blank 7 and blank 1. It makes the total for the column be correct.

Similarly, blanks 8 and 6 are differences that make the row and column totals (respectively) be correct.

Finally, blank 5 is the value that makes its row and column totals be correct. The fact that the one number makes two correct totals gives you a check on that number.

The filled table is shown in the first attachment. The calculations are shown in the second attachment.

What are the values of s and t?

Answers

S-62 degrees

T-76 degrees

Step-by-step explanation:

IJ and KJ are congruent, so s would have the same measurement as I.

You would simply subtract from both s and i to get t.

-12x to the power of 3 y to the power of 8

Answers

The mathematical expression is -12x³[tex]y^8[/tex].

We have,

-12x to the power of 3 y to the power of 8

Now, writing the mathematical expression

-12x to the power of 3  = -12x³

and, y to the power of 8 = [tex]y^8[/tex]

So, the expression can be written as

= -12x³[tex]y^8[/tex]

Learn more about Exponents and power here:

https://brainly.com/question/15722035

#SPJ1

collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community​

Answers

The observation table in Annexure A records the minimum and maximum temperature in a community for 30 days.

To collect data on the observation table in Annexure A for 30 days of minimum and maximum temperature in your community, follow these steps:
Obtain a reliable source for temperature data: You can use local weather stations, online weather platforms, or mobile apps that provide accurate and up-to-date temperature information for your community.
Prepare the observation table:

Create a table in Annexure A with columns for Date, Minimum Temperature, and Maximum Temperature.

Make sure there are 30 rows for each day of observation.
Record daily temperatures:

For each day, note down the date and the minimum and maximum temperatures in their respective columns.

Be consistent with the time of day you record these temperatures, ideally early morning for the minimum and late afternoon for the maximum.

Repeat the process:

Continue recording daily temperatures for a total of 30 days.
Review and analyze the data:

Once the 30-day period is complete, you can analyze the data to observe trends or patterns in temperature variation.
Remember to be consistent in your data collection to ensure accurate and reliable results.

For similar question on maximum temperature.

https://brainly.com/question/31561714

#SPJ11

which is not a function and what is a function

Answers

Answers

1. No
2. No
3. Yes
4. No
5. Yes
6. Yes

Explanation - I used the vertical line test to prove if these were a function or not. If the line connects to 2 or more dots then there are 2 or more outputs for every input, so not a function. Note that number 3 has open circles which means the line is more than or less than but not equal to, so that open dot is not a dot so it still passes the vertical line test.

Rick has earned a total of 581 points on all of his science test. His overall test average mean is 83. How many tests has Rick taken? PLEASE I NEED URGENT HELP

Answers

The number of tests Rick has taken are 7.

What is average?

The average of given numbers is equal to the sum of all the values divided by the total number of values. It  generally refers to a measure of central tendency or the typical value within a set of data points.

Define mean?

The mean, or arithmetic mean, is the most commonly used type of average. It is calculated by adding up all the values in a data set and dividing by the total number of data points. Mathematically, the mean is represented as:

Mean = (Sum of all values) / (Total number of data points)

Based on the given conditions, formulate:

581/83 =7

Learn more about central tendency here:

https://brainly.com/question/30218735

#SPJ1

Help me with this math if you can.

Answers

The actual distance between the two cities is equal to 288 miles.

What is a scale factor?

In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

In Geometry, the scale factor of a geometric figure can be calculated by dividing the side lengths of the image by the side lengths of the pre-image:

Scale factor = length of image (new figure)/length of pre-image (actual figure).

Scale:

0.25 inch = 24 miles

0.25/24 = New distance/Actual distance

0.25/24 = 3/Actual distance

Actual distance = (24 × 3)/0.25

Actual distance = 288 miles.

Read more on scale factor here: brainly.com/question/29967135

#SPJ1


Consider a football team with a 13
-game schedule. Each game ends with a win (W), a loss (L), or a tie (T). Once the schedule is set, how many ways can the schedule end with 9
wins, 3
losses, and 1
ties?

Answers

Answer:

Step-by-step explanation:

To find the answer, we can use the formula for combinations:

nCr = n! / r!(n-r)!

where n is the total number of games, r is the number of losses, and n-r-1 is the number of ties (since we already know there are 9 wins).

Substituting the values, we get:

13C3 * 10C1

= (13! / 3!10!) * (10! / 1!9!)

= (13*12*11 / 3*2*1) * 10

= 2860

Therefore, there are 2860 ways the schedule can end with 9 wins, 3 losses, and 1 tie.

simplify into one fraction

Answers

Answer:

Step-by-step explanation:

All four of these inequalities are true. Use them to find the single whole-number value of g. Use that whole number to unlock the door. Your answer g>0 g≤100 4 5.5 is greater than g?​

Answers

Yes, 5.5 is greater than g.

To find the value of g, we need to use the inequalities given. Since g>0 and g≤100, we know that g must be a whole number between 1 and 100.

The other two inequalities are not useful for finding g, so we can ignore them.

We don't know what value of g is, but we do know that 5.5 is greater than g. This means that g must be less than 5.5.

The only whole number between 1 and 100 that is less than 5.5 is 5.

So the value of g is 5, and that is the whole number you can use to unlock the door.

The answer is not all true. Thank you for the help!

Answers

Answer:

false ,true ,true

Step-by-step explanation:

What are all of the solutions to the trigonometric equation 2 cos²0-2sin²0= √3?

Answers

The solutions to the trigonometric equation 2 cos²0-2sin²0= √3 is option C.

What is a trigonometric equation?

It should be noted that a trigonometric equation is one that contains a trigonometric function with a variable. For example, sin x + 2 = 1 is an example of a trigonometric equation.

The equations can be something as simple as this or more complex like sin2 x – 2 cos x – 2 = 0.

In this case, solutions to the trigonometric equation 2 cos²0-2sin²0= √3 is π/12 + πn and 11x/12 + πn

The correct option is C.

Learn more about trigonometry on

https://brainly.com/question/24349828

#SPJ1

evaluate cos(sin^-1 x0)

Answers

Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

Some sources report that the weights of​ full-term newborn babies in a certain town have a mean of pounds and a standard deviation of pounds and are Normally distributed.

a. What is the probability that one newborn baby will have a weight within pounds of the meanthat ​is, between and ​pounds, or within one standard deviation of the​ mean?

b. What is the probability that the average of ​babies' weights will be within pounds of the​ mean; will be between and ​pounds?

c. Explain the difference between​ (a) and​ (b).


the screenshot is below

Answers

Answer:

Step-by-step explanation:

A

75 minutes after 8:15

Answers

75 minutes after 8:15 would be 9:30.

Here's how I got that answer:

- Add 60 minutes to 8:15 to get 9:15.
- Add another 15 minutes to 9:15 to get 9:30.

So, 75 minutes after 8:15 is 9:30.

an industrial comp machine has the ability to reduce image dimensions by a certain percentage each time it copies. A design began with a length of 16 inches, represented by the point (0,16). after going through the comp machine once, the length is 12, represented by the point (1,12). Enter the correct answer in the box by replacing the values of a and b. f(x)=a(b)^x

Answers

Answer:

f(x) = 16*0.75^x

Step-by-step explanation:

first off let's use this coordinate (the one given) :

(0,16)

let's substitute this into the equation with x being 0 and f(x) being 16

16 = a*b^0

*anything to the power of 0 is 1*

so:

a = 16

now use the second coordinate :

(1,12)

and do the same by substituting 1 for x and 12 for f(x), we also know what 'a' is:

12 = 16*b^1

12 = 16 * b

b = 3/4

so :

f(x) = 16*0.75^x

1. Determine the slope of a line given the table.
X
y
1
3
56
6
9
9
13
12

Answers

The slope of a line given the table is equal to 0.

How to calculate or determine the slope of a line?

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the slope formula, we have the following;

Slope (m) = (9 - 9)/(3 - 1)

Slope (m) = 0/2

Slope (m) = 0.

Based on the table, the slope is the change in y-axis with respect to the x-axis and it is equal to 0.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Assume a corporation has earnings before depreciation and taxes of $110,000, deprecation of $48,000, and that is has a 30 percent tax bracket.

A. Compute it's cash flow using the following format.
Earnings before depreciation and taxes?
Depreciation?
Earnings before taxes?
Taxes?
Earnings after taxes?
Depreciation?
Cash flow?

B. How much would cash flow be if there were only $16,000 in depreciation? All other factors are the same.

Cash flow?

C. How much cash flow is lost due to the reduced depreciation from $48,000 to $16,000?

Cash flow lost?

Answers

A. The cash flow would be $91,400 if the depreciation were $48,000.

B. The cash flow would be $81,800 if the depreciation were $16,000.

C. The lost cash flow due to the reduced depreciation from $48,000 to $16,000 is $9,600.

How cash flow interacts with depreciation:

A) Depreciation of $48,000:

Earnings before depreciation and taxes = $110,000

Depreciation = $48,000

Earnings before taxes = $62,000 ($110,000 - $48,000)

Taxes (30%) = $18,600 ($62,000 x 30%)

Earnings after taxes =  $43,400 ($62,000 - $18,600)

Depreciation $48,000

Cash flow = $91,400 ($43,400 + $48,000)

B) Depreciation of $16,000:

Earnings before depreciation and taxes = $110,000

Depreciation = $16,000

Earnings before taxes = $94,000 ($110,000 - $16,000)

Taxes (30%) = $28,200 ($94,000 x 30%)

Earnings after taxes =  $65,800 ($94,000 - $28,200)

Depreciation $16,000

Cash flow = $81,800 ($65,800 + $16,000)

C) Lost Cash Flow:

Cash flow at $48,000 depreciation = $91,400

Cash flow at $16,000 depreciation = $81,800

Lost cash flow = $9,600 ($91,400 - $81,800)

Thus, we can learn that reduced depreciation increases the tax liability, thereby reducing the cash flow.

Learn more about cash flow and depreciation at https://brainly.com/question/30479366.

#SPJ1

A. The cash flow would be $91,400 if the depreciation were $48,000.

B. The cash flow would be $81,800 if the depreciation were $16,000.

C. The lost cash flow due to the reduced depreciation from $48,000 to $16,000 is $9,600.

How cash flow interacts with depreciation:

A) Depreciation of $48,000:

Earnings before depreciation and taxes = $110,000

Depreciation = $48,000

Earnings before taxes = $62,000 ($110,000 - $48,000)

Taxes (30%) = $18,600 ($62,000 x 30%)

Earnings after taxes =  $43,400 ($62,000 - $18,600)

Depreciation $48,000

Cash flow = $91,400 ($43,400 + $48,000)

B) Depreciation of $16,000:

Earnings before depreciation and taxes = $110,000

Depreciation = $16,000

Earnings before taxes = $94,000 ($110,000 - $16,000)

Taxes (30%) = $28,200 ($94,000 x 30%)

Earnings after taxes =  $65,800 ($94,000 - $28,200)

Depreciation $16,000

Cash flow = $81,800 ($65,800 + $16,000)

C) Lost Cash Flow:

Cash flow at $48,000 depreciation = $91,400

Cash flow at $16,000 depreciation = $81,800

Lost cash flow = $9,600 ($91,400 - $81,800)

Thus, we can learn that reduced depreciation increases the tax liability, thereby reducing the cash flow.

Learn more about cash flow and depreciation at https://brainly.com/question/30479366.

#SPJ1

Other Questions
Consider The Following Function. G(V) = V^3 - 75v + 6 Find The Derivative Of The Function. G'(V) = Find The Values Of V Such That G'(V) If Nominal GDP is $22,000 billion and the GDP deflator is 110, then Real GDP is ________.A) $24,200 billionB) $11,000 billionC) $20,000 billion 2 + 3 + ? = ?( fill in the question mark with explanations ) Which of the following is a way to find 2/7 of a number?Group of answer choicesDivide by 2 and divide by 7Divide by 2 and multiply by 7Divide by 7 and multiply by 2Multiply by 7/2 An industrial customer with a three-phase, 480 V service entrance is running the following set of loads: Two 15 HP, 89% efficient lathes, 0.79 lagging power factor One 7 ton heat pump' with a COP of 1.9 and a 0.95 lagging power factor Two electric autoclaves, 30 BTU/h, 98% efficient, 0.97 lagging PF One 25 kW high-intensity discharge (HID) lighting system, unity PF If the lighting system is replaced with a T8 fluorescent system with magnetic ballast that consumes 25% less than the previous system, but introduces a 0.91 leading power factor, by how much does the service entrance current change? Which statement is true about the given expression? 3 x 2 11 ( 2 y + 1 ) + 4 A. The "4" in the third term is a factor. B. The "11" in the second term is a constant. C. The "3" in the first term is an exponent. D. The "2" in the second term is a coefficient. For 90 bending of sheet metal, which operation is preferred? a. V-die bending b. Wiping-die bending List and explain 3 of the causes of World War II. In Excel, if a code for a book is in cell C5 and we want to find that code and display the title of the book from column B of the data set (BookData), the following VLOOKUP could be used:=VLOOKUP(C5, BookData, B, True)Group of answer choicesA.TrueB.False Principle of management on mindtapWhat concept, term, principle, illustration has struck you as the most interesting at this part of the course?You must start a thread before you can read and reply to other threads Define dirty data, and identify some of its sources. Data which is corrupted, inaccurate, inconsistent, incomplete and flawed but yet stored in the database is called dirty data. The outdated or duplicate data is also termed as dirty data.Dirty data is not required for anything but still it takes the space in memory or database so the data must be analyzed after type of changes in data stored in the database.For example An employee changes his residence and his old address is still stored in the employee directory or register of his company which is of no use so its the representing the dirty data. Vanessa's business plan discusses her strategy for distributing and promoting her products. This information is most likely found in which section of her plan? Select one: O a. product description and market analysis O b. marketing plan O c. operations plan O d. executive summary apply the concept phylogeny can be reconstructed from traits of organism suppose that det(a)=abcdefghi=3and find the determinant of the given matrixabc-2d-2e-2fa+gb+hc+i The process of boiling syringes and needles to keep the germ free is called please list and describe four criteria you would use to evaluate business ideas what is the protein amdr for jake expressed in calories from protein, and grams of protein? (note: this will be a range, not an absolute number.) Which statement best summarizes the authors' ideas?O The differences between men and women allow themto balance one another, and they should beconsidered as equal as they are in nature.O There are differences between men and women thatshould be more considered when determining whatboys and girls learn in school.O Men and women are different, and they performdifferent duties throughout history, school, and nature.O Men and women have served different roles ingovernment and society, but women will soon provetheir superiority when they have rights What is the best way to prepare for a persuasive speech on the topicof abortion?How is this different from how to prepare for an informative speechon the topic of abortion?Which of the four delivery types tends to be the most effective? Why?Why should you avoid reading when giving a speech? HELP ME PLS EXPLAIN I DONT KNOW HOW TO DO THIS