anybody know how to do this or what to do

Anybody Know How To Do This Or What To Do

Answers

Answer 1
Correct answer is 32
Answer 2

Answer:

we know that 25% of something is = to 1/4 of something and we know 1/4 of that number is 8 so we have to do 8 plus 8 plus 8 plus 8 to get the answer or 8 times 4 which = 32

Step-by-step explanation:


Related Questions

TRIG HELP NEED TO FIND C IS IT NOT ALT ANGLES?????

Answers

[tex]c+20=55\\c=55-20\\c=35[/tex]

2. One of the goals of this lab is to become familiar with different shapes of simple molecules. a. What is the name of the theory used to predict molecular geometries? b. Suppose a molecule consists of a central atom bonded to 2 outer atoms. There are two lone pairs on the central atom. What is the name of the molecular shape of this molecule? c. Suppose a molecule consists of a central atom bonded to 4 outer atoms. There are no lone pairs on the central atom. What is the name of the molecular shape of this molecule?

Answers

a. The name of the theory used to predict molecular geometries is the VSEPR (Valence Shell Electron Pair Repulsion) theory.

b. The name of the molecular shape for a molecule consisting of a central atom bonded to 2 outer atoms with two lone pairs on the central atom is "bent" or "angular." This molecular shape is also sometimes referred to as "V-shaped" due to its characteristic angular structure.

c. The name of the molecular shape for a molecule consisting of a central atom bonded to 4 outer atoms with no lone pairs on the central atom is "tetrahedral." This molecular shape is characterized by a central atom at the center with four symmetrically arranged outer atoms, forming a three-dimensional tetrahedron-like structure.

Learn more about VSEPR here: brainly.com/question/31129877

#SPJ11

The temperature at the point (x, y, z) in a substance with conductivity
K = 7.5 is u(x, y, z) = 3y² + 3z².
Find the rate of heat flow inward across the cylindrical surface
y² + z² = 6, 0 ≤ x ≤ 3

Answers

The integration is ∫∫(q · dS) = ∫[0 to √6] ∫[0 to √6] (-45y - 45z) dy dz.

The rate of heat flow inward across the cylindrical surface y² + z² = 6, 0 ≤ x ≤ 3 can be determined by calculating the flux of the heat vector field through the surface.

To find the rate of heat flow, we need to calculate the surface integral of the heat flux vector across the given cylindrical surface. The heat flux vector is given by q = -K∇u, where K is the conductivity and ∇u is the gradient of the temperature function u(x, y, z).

First, we find the gradient of u:

∇u = (∂u/∂x)i + (∂u/∂y)j + (∂u/∂z)k

= 0i + (6y)j + (6z)k

Then, we calculate the heat flux vector:

q = -K(∇u)

= -7.5(0i + (6y)j + (6z)k)

= -45yj - 45zk

Next, we calculate the surface area element vector, dS, of the cylindrical surface. Since the surface is defined by y² + z² = 6, we can parameterize it as r(y,z) = yi + zk. Taking the cross product of the partial derivatives, we obtain dS = (∂r/∂y) x (∂r/∂z) dy dz = (-j -k) dy dz.

Finally, we can calculate the surface integral by integrating the dot product of q and dS over the given cylindrical surface:

∫∫(q · dS) = ∫∫(-45yj - 45zk) · (-j -k) dy dz

To find the limits of integration, we note that the surface extends from y² + z² = 6 to the origin, which corresponds to 0 ≤ y² + z² ≤ 6. Since the surface is symmetric, we can integrate over a quarter of the surface, from y = 0 to y = √6 and z = 0 to z = √6.

Performing the integration, we get:

∫∫(q · dS) = ∫[0 to √6] ∫[0 to √6] (-45y - 45z) dy dz

Evaluating this double integral will give us the rate of heat flow inward across the cylindrical surface.

Learn more about integration here

https://brainly.com/question/988162

#SPJ11

The temperature at sunrise is 40°F. Each​ hour, the temperature rises 4°F. Write an equation that models the temperature​ y, in degrees​ Fahrenheit, after x hours. What is the graph of the​ equation?
Write an equation that models the temperature​ y, in degrees​ Fahrenheit, after x hours.

Answers

Answer:

y = 4x + 40

Step-by-step explanation:

At sunrise, 0 hours have passed, meaning x = 0.

When x = 0, the temperature is 40, meaning that 40 is the y-intercept.

And every x hours the temperature rises by 4 degrees F

what is the approximate area of the hexagon? 224 cm2 336 cm2 448 cm2 672 cm2

Answers

The value of area of hexagon is,

A = 672 cm²

Given that;

In a hexagon;

Apothem of the hexagon = 14 cm

And, perimeter of the hexagon: 96 cm

Since, We know that,

Area of the hexagon = [(3√3) / 2] a²    

where, a is the measure of the side

Since, hexagon has 6 sides.

Perimeter = 6a

96 cm = 6a

96 cm / 6 = a

16 = a

We can also use the area of a triangle to approximate the area of the hexagon. There are 6 triangles in the hexagon .

Area of a triangle = (height x base) / 2

A = (14 cm x 16 cm) / 2

A = 224 / 2

A = 112 cm²

So, Area of hexagon is,

A = 112 cm²  x  6 triangles

A = 672 cm²

To learn more about hexagon, follow the link.

brainly.com/question/15424654

#SPJ1

Complete question is,

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.

What is the approximate area of the hexagon?

224 cm2

336 cm2

448 cm2

672 cm2

Please help me I know it's A but I don't know why.​

Answers

Answer:

Maybe try explaining that if you narrow it down and simplify the numbers by dividing them by 8 or somewhere around there.

determine whether the following equations are second-order linear differential equations.(a)y'' = −3x(y')2

Answers

To determine whether the equation y'' = −3x([tex]y')^2[/tex]is a second-order linear differential equation, we need to examine its form.

A second-order linear differential equation has the general form:

[tex]y'' + p(x)y' + q(x)y = r(x)[/tex]

where y is the dependent variable, x is the independent variable, and p(x), q(x), and r(x) are functions of x.

In the given equation, [tex]y'' = -3x(y')^2,[/tex]we can observe that the dependent variable y only appears in the squared term [tex](y')^2.[/tex]This indicates that the equation is not linear in y or its derivatives. It contains a non-linear term [tex](y')^2[/tex]multiplied by the function -3x.

Therefore, the equation [tex]y'' = -3x(y')^2 i[/tex] is not a second-order linear differential equation.

Learn more about second-order linear differential equations here:

https://brainly.com/question/1164377

#SPJ11

Solve 3(2x - 7)<4x - 8

Answers

Simplify to 6x - 21 < 4x - 8. Add 21 to both sides and subtract 4x from both sides. You will get 2x < 13. Divide both sides by two and you get x < 6.5

Answer:

x < 6.5

Step-by-step explanation:

3(2x - 7) < 4x - 8

6x - 21 < 4x - 8

6x - 4x < -8 + 21

2x < 13

x < 6.5

If the data point is at (3, 10.5) and the prediction equation is y = -6.1x + 12.5, what is the value of the residual for this data point?

Answers

Given:

The data point is (3,10.5).

The prediction equation is [tex]y=-6.1x+12.5[/tex].

To find:

The value of the residual for this data point.

Step-by-step explanation:

The data point is (3,10.5). So, the actual value is 10.5 at [tex]x=3[/tex].

Prediction equation is

[tex]y=-6.1x+12.5[/tex]

Putting [tex]x=3[/tex], we get

[tex]y=-6.1(3)+12.5[/tex]

[tex]y=-18.3+12.5[/tex]

[tex]y=-5.8[/tex]

The formula for residual is:

Residual = Actual value - Expected value

[tex]Residual=10.5-(-5.8)[/tex]

[tex]Residual=10.5+5.8[/tex]

[tex]Residual=16.3[/tex]

Therefore, the residual for the given data point is 16.3.

The following estimated regression equation is based on 10 observations was presented. ŷ 29.1270 +0.5906x1 + 0.4980x2 = Here SST = 6,589.125, SSR = 6,282.500, sb₁ = 0.0808, and $₂ = 0.0603. a. Compute MSR and MSE (to 3 decimals). MSR = MSE = b. Compute F and perform the appropriate F test (to 2 decimals). Use a = 0.05. Use the F table. F = The p-value is Select your answer At a = 0.05, the overall model is - Select your answer c. Perform a t test for the significance of B₁ (to 2 decimals). Use a = 0.05. Use the t table. tB₁ = The p-value is - Select your answer - At a = 0.05, there is - Select your answer ✓ relationship between y and 1. d. Perform a t test for the significance of B₂ (to 2 decimals). Use a = 0.05. Use the t table. tB₂ = d. Perform a t test for the significance of B₂ (to 2 decimals). Use a = 0.05. Use the t table. tB₂ = The p-value is - Select your answer At a = 0.05, there is - Select your answer - ✓relationship between y and X2.

Answers

There is a significant relationship between y and both x1 and x2.

MSR = 306.625, MSE = 30.844b. F = 9.939 and p-value = 0.007. At a = 0.05, the overall model is significant.

tB₁ = 7.301 and p-value = 0.0009. At a = 0.05, there is a significant relationship between y and x1. d. tB₂ = 4.771 and p-value = 0.0008. At a = 0.05, there is a significant relationship between y and x2.

In a regression model, the F-test is used to determine whether the regression coefficient as a whole is statistically significant or not.

The p-value of the F-test is compared to the significance level (α) to determine statistical significance.

If the p-value is less than α, the regression coefficient as a whole is considered statistically significant. If it is greater than α, then it is not statistically significant.

t-test is used to determine whether each individual regression coefficient is statistically significant or not.

The p-value of the t-test is compared to the significance level (α) to determine statistical significance.

If the p-value is less than α, the regression coefficient is considered statistically significant.

If it is greater than α, then it is not statistically significant.

In this question, the F-test is significant at a = 0.05, and the t-test for both x1 and x2 is significant at a = 0.05.

Therefore, there is a significant relationship between y and both x1 and x2.

Know more about t-test here:

https://brainly.com/question/1189751

#SPJ11

20 points helppppppppppppppppppppppppppppp

PLZZ anyone solve this ASAP​

Answers

Answer:

[tex] cos^{-1}(cos\frac{ 7π}{6})=cos^{-1}(cos\frac{7*180}{6})[/tex]

[tex] cos^{-1}(cos{210})[/tex]

[tex] cos^{-}(cos(180+30))[/tex]

[since in third quadrant cos 30=-[tex] \frac{\sqrt{3}}{2}][/tex]

[tex] cos^{-}(- \frac{\sqrt{3}}{2})[/tex]

:150°or [tex] \frac{5π}{6}[/tex]

150°or [tex] \frac{5π}{6}[/tex]is a required answer.

Jessie needs to earn more than $160 every month.
B. Enter the minimum number of hours, to the nearest whole, Jessie would have to work to earn $160 in a month.

Answers

Answer:

divide 460/60

Step-by-step explanation:  

60 rep one hour and you will find your answer

Help with these will give brainliest

Answers

Answer:

$ 45,600

Step-by-step explanation:

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

i think the answer would be A

Two number cubes are rolled.
What is the probability that the first lands on an odd number and the second lands
on an even number?
Simplify your fraction.
O / 을
0 O
3

Answers

Answer:

cubes have 6 numbers

3 odd, 3 even

Step-by-step explanation:

probablity=desiredoutcome/totalpossibleoutcomes

there are 6 total desired outcomes (3 on each cube)

total possible, there are 6*6 or 36 total possible outcomes

so 6/36 or 1/6 chance

Find the deflection u (x, y, t) satisfying the wave equation utt = 4 (uxx + Uyy) for a rect- = angular plate with fixed ends and dimensions: horizontal a = 2pi and vertical b initial velocity is g(x, y) = 0 The initial displacement is f(x, y) = - 3sin(5x) * sin(6y) + 11sin(6x) * sin(9y)

Answers

TheThe general solution to the wave equation utt = 4 (uxx + Uyy) is given by the D’Alembert’s formula. Therefore, the solution to the given problem is obtained by finding the specific form of the initial conditions u (x, y, 0) = f (x, y) and ut (x, y, 0) = g (x, y) and then use these values to find u (x, y, t) using the D’Alembert’s formula.

Let us find the form of the wave u(x,y,t) that satisfies the wave equation utt = 4 (uxx + Uyy) given the initial displacement f(x,y) = -3sin(5x)sin(6y) + 11sin(6x)sin(9y) and g(x,y) = 0.

Solution:
The D’Alembert’s formula for the wave equation is given by:

`u(x,y,t) = (1/2) [f(x+ct,y) + f(x-ct,y)] + (1/(2c)) ∫_((x-ct))^(x+ct)∫_((y-c(t-s)))^(y+c(t-s)) g(s,r) dr ds`

where c is the speed of the wave. Comparing with the wave equation `utt = c^2(uxx + uyy)` we have `c = 2`

Therefore, the solution to the wave equation is given by:

`u(x,y,t) = (1/2) [-3sin(5(x+2t))sin(6y) -3sin(5(x-2t))sin(6y) +11sin(6(x+2t))sin(9y) +11sin(6(x-2t))sin(9y)]`

Hence, the solution is:

`u(x,y,t) = (1/2) [-3sin(5(x+2t))sin(6y) -3sin(5(x-2t))sin(6y) +11sin(6(x+2t))sin(9y) +11sin(6(x-2t))sin(9y)]`

So, this is the required solution.

3. Savannah estimates that her dog weights 30
pounds. When she takes her dog to the vet for
his check-up, the dog is placed on the scale and
actually weights 32.5 pounds. What was
Savannah's percent of error of her estimate?
Round to the nearest percent.

Answers

Answer:

8%

Step-by-step explanation:

Factor 64u–40.
Write your answer as a product with a whole number greater than 1.

Answers

Answer: 8(8u-5)

Step-by-step explanation:

Find a number that goes into both 64 and 40 the GCF of both is 8 so 8 goes on the outside of the new factor 8u-5 because if we distribute back we should arrive at the original equation

8(8u-5)

A vending machine dispenses coffee into a twenty-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.03 ounce. You can allow the cup to overfill 4% of the time. What amount should you set as the mean amount of coffee to be dispensed? Click to view page 1 of the table. Click to view page 2 of the table. 19.9 ounces

Answers

The mean amount of coffee to be dispensed should be set at μ + 0.0525 ounce, where μ represents the original mean amount of coffee. This ensures that the cup overfills only 4% of the time.

To determine the mean amount of coffee to be dispensed, we need to find the value that corresponds to the 96th percentile of the normal distribution. This value represents the amount of coffee that should not be exceeded 96% of the time.

Using a standard normal distribution table or a calculator, we find that the z-score corresponding to the 96th percentile is approximately 1.75.

Since the standard deviation is given as 0.03 ounce, we can set up the equation:

1.75 = (x - μ) / 0.03

Solving for x, the mean amount of coffee to be dispensed, we get:

x - μ = 1.75 * 0.03

x - μ = 0.0525

x = μ + 0.0525

Therefore, the mean amount of coffee to be dispensed should be set at μ + 0.0525 ounce to ensure that the cup overfills only 4% of the time.

To know more about mean refer here:

https://brainly.com/question/31101410#

#SPJ11

Find b given that A (-6, 2), B (b, 0), and C (3,-4) are collinear.

Answers

Answer:

b = -3.

Step-by-step explanation:

If the 3 points are collinear then:

Slope of AB = Slope  of BC and so

(0-2)/(b + 6) = (-4-0)/( 3 - b)

-4(b + 6) = -2(3 - b)

-4b - 24 = -6 + 2b

-24 + 6 = 2b + 4b

6b = -18

b = -3.

Calculate the volume

Answers

The volume is decided by using the equation V (volume)=a^3. This means you multiply the length x hight x width. So we would do 5 x 4 x 2 which equals 40.

An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price. The results are shown in the scatterplot.

Answers

Complete question :

An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price. The results are shown in the scatterplot.

Which statement is correct based on the scatterplot?

There is no relationship between price and gift baskets sold because the points do not form a straight line.

There is no relationship between price and gift baskets sold because there are multiple prices at which 80 gift baskets were sold.

There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold increases.

There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.

Answer:

There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.

Step-by-step explanation:

From the scatterplot provided, it could be observed thatbthere is a linear trend in the plot created. This shows that there is a relationship between the price of gifts and the number if gift basket sold.

Furthermore, the slope of the linear trend line that could be drawn from the plotted data is negative, A negative slope Indicates a negative relationship, that is an increase in x leads to corresponding decrease in y. He ce, as price increases the number sold decreases

Answer:

d and/ or the other dude

Step-by-step explanation:

Given the data set, calculate the mean
{9, 3, 1, 8, 3, 6}


Please help!!!

Answers

Answer:

mean: 5

Step-by-step explanation:

(9 + 3 + 1 + 8 + 3 + 6) / 6 = 5

Can anyone help me pls ? ( it’s talking about the blue dot ) will give brainliest!!

Answers

Answer:

NO

Step-by-step explanation:

From the graph attached,

Equation of the line parallel to x-axis is y = 3.

Since, the line is dotted line, equation will be an inequality (having sign of < or >)

Now shaded region is below the line so equation of the inequality will be,

y < 3

Any point below the dotted line will be the solution of the given inequality.

Therefore, blue dot on the dotted line represented by y = 3 will not be the solution of the inequality.

Answer is NO.

Which of the following describes the fraction 2/5?
5 is the part, 2 is the whole, and the fraction is equivalent to 25%.
2 is the part, 5 is the whole, and the fraction is equivalent to 25%.
5 is the part, 2 is the whole, and the fraction is equivalent to 40%.
2 is the part, 5 is the whole, and the fraction is equivalent to 40%.

Answers

2 is the part 5 is the whole, and fraction is equivalent to 40%

The correct description of the fraction 2/5 is,

⇒ 2 is the part, 5 is the whole, and the fraction is equivalent to 40%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The fraction is,

⇒ 2/5

Now, We can change into percent as;

⇒ 2/5 × 100%

⇒ 2 × 20%

⇒ 40%

Thus, The correct description of the fraction 2/5 is,

⇒ 2 is the part, 5 is the whole, and the fraction is equivalent to 40%.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ3

I suckkk at math.. Help?

Answers

Answer:

B. x=6

Step-by-step explanation:

substitute -7 into 2y to get -14. your new equation should be 4x-14=10. add 14 to both sides to get 4x=24, divide both sides by 4 to get x=6.

Answer:

B. 6

Step-by-step explanation:

y = -7

4x + 2(-7) = 10

4x + (-14) = 10

4x = 10 - (-14)

4x = 24

x = 6

The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.



2 0, 1, 3, 5, 7
3 2, 5, 7, 9
4
5 1
6 5
Key: 2|7 means 27


What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 16.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 16.

Answers

The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

For more questions on variability

https://brainly.com/question/14544205

#SPJ8

I Need Answers Quick

Answers

Answer:

42.78cm2

Step-by-step explanation:

Area =100°/360 * 22/7 * 7^2

=42.78cm2

In a diving meet, you score 8.4 and 7.88.

What is your total score?

Answers

Answer: 16.28?

Step-by-step explanation:

STRESSING OUT ABOUT THIS ONE

Answers

I had this one before. I'm pretty sure it is 1.61

Answer:

1.61

Step-by-step explanation:

It just makes since.

Other Questions
The first term in an arithmetic sequence is 5. The fourth term in the sequence is 4. The tenth termis 22.Which function can be used to find the nth term of the arithmetic sequence? Answer the following question in a couple of sentences. Explain a situation when a high current ratio may not be desirable for a firm. Can I get help with number 20 Este ao en la escuela de ingls, el numero de usuarios de intagram ha alcanzado la cifra de 2604 alumnos, lo que supone un aumento del 24% respecto del ao pasado. cuantos usuarios habia el ao pasado? 40 POINTS !! 40 POINTS !!PLEASE HELP , DONT SKIP !NO LINKS OR FILES. The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find theactual distance, x, represented by 20 centimeters on the map?XO104104le & STIXO102010 X20 Which of the following points lies on the line 2x+3y=5? When a plant bends to get more sunlight, which of these characteristics of life is it. A demonstrating?B respirationC reproductionD sensitivityE excretion What is the result of subtracting the second equation from the first? -4x-2y=-2x-2y=9 guys can you help me answer this? a. The Government of Ghana has received a grant from JICA to build a number of hospitals in the country. Using the Utilitarian principle, describe how government will be required to decide on where to build these hospitals. b. Discuss four (4) potential problems the Government of Ghana might encounter in the use of this principle. 3. The determinants of productivity Consider a simple economy whose only industry is fishing. In this industry, productivitythe amount of goods and services a worker can produce per houris measured by the number of fish one fisherman catches per hour. In the following table, match each example to the productivity determinant it represents. Examples Human Capital Natural Resource Physical Capital Technological Knowledge The skills workers develop through training before working on and piloting boats A route fishing boats can follow to maximize their catch at different points in the day The boats in the fishing fleet The fertile waters in which the fish feed and breed Grade It Now Save & Continue Continue without saving Your friend Sam wants to paint her room. She wants to paint the ceilingwhite and the four walls purple.You are helping Sam determine the cost and the amount of time needed topaint her room.The room is shaped like a rectangular prism with a height of 8 feet, length of12 feet, and width of 10 feet as shown. Where does a thesis statement generally appear in an essay? HINT: It's not B.A. By itself at the top of the pageB. In the first sentence in the introductory paragraphC. Any place in the introductory paragraphD. In the conclusion GIVING BRAINLIEST!!!!!! Suppose you invest $30,000 by purchasing 200 shares of Abbott Labs (AST) at $70 per share, 200 shares of Lowes (LOW) at $50 per share, and 100 shares of Bal Corporation (BLL) at $60 per share. The weight of Abbott Labs in your portfolio is: A 28% OB 46.67% C. 37.33% OD 18.67% Because of the war, what changed the most in American Society? A. Schools B. ChurchesC. Prisons D. Gender Roles 6. The table shows the number of manatee deaths caused by watercraft in Florida each yearbeginning in 1980. The years are coded that 1980 is 1, 1981 is 2, and so on. Use the table tofind the best model and the R2 value.Year12345678910Deaths16242015343333394350(1 point)linear model, 0.845exponential model, 0.779power model, 0.682quadratic model, 0.866 Please See Part Two as Well.Exercise 24-6 Net present value LO P3 a. A new operating system for an existing machine is expected to cost $520,000 and have a useful life of six years. The system yields an incremental after-tax inc answer asap!!! i suck at acceleration