What is the simplified value of the exponential expression 164?
16 17 ?
H|N
4
02
04

Answers

Answer 1
the best option should be 4.
Answer 2

The simplified value of the exponential expression \(16^4 ~and ~16^{17}\)is:

65,536 and 36,893,488,147,419,103,232.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify the exponential expressions, we can use the rule that states:

\(a^m \times a^n = a^{m+n}\)

\(16^4\)can be simplified as follows:

\(16^4\) = 16 x 16 x 16 x 16

\(= (2^4) \times (2^4) \times (2^4) \times (2^4)\)

(since 16 = 2^4)

\(= 2^{4+4+4+4}\\= 2^{16}\\= 65,536\)

Therefore, \(16^4\) simplifies to 65,536.

\(16^{17}\) can be simplified as follows:

\(= 16^{17} = 16^{16} \times 16^1\\= (2^4)^{16 \times 2^1 }\\= 2^{4\times 16 \times 2^1}\\= 2^{64} \times 2^1\\= 2^{65}\)

Therefore, \(16^{17}\) simplifies to 36,893,488,147,419,103,232.

Thus,

The simplified value of the exponential expression \(16^4 ~and ~16^{17}\)is:

65,536 and 36,893,488,147,419,103,232.

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Related Questions

PLEASE HELP AS SOON AS POSSIBLE

PLEASE HELP AS SOON AS POSSIBLE

Answers

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

How to find the slope of the linear graph?

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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If HI=square root 20, classify this triangle by sides. *
10
6
8
b
6
in
4
3₂2
(4
H
scalene
isosceles
3 4
O equilateral
none
I
5
6
7
G
8 9
10

If HI=square root 20, classify this triangle by sides. *1068b6in432(4Hscaleneisosceles3 4O equilateralnoneI567G8

Answers

According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

what is a sequence?

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

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When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?

Answers

When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.

To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.

An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.

The given expression is:

jkh + hj - jk

Substituting the given values of h, j, and k, we get:

jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))

Now simplify the expression

jkh + hj - jk = (-20) + 20 + 5

jkh + hj - jk = 5

Therefore, the value of  jkh + hj - jk equals 5.

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Ryan has a piece of wood that is 5 5/12 feet long . he use 3 1/4 feet of the word for a project how much wood does Ryan have left?​

Answers

Answer:

2 1/6

Step-by-step explanation:

Identify the steps to find the value of the inverse ( Please show your work thank you) ↓

Identify the steps to find the value of the inverse ( Please show your work thank you)

Answers

The value of the inverse of the equation is this: x³ -3 = y

How to find the inverse of the equation

To find the inverse of the equation follow these steps:

1. Replace H(x) with y.

y = (x + 4)³ - 1

2. Interchange the values of X and Y.

X = (y + 4)³ - 1

3. Find the cube root of both sides

x³ = y + 4  - 1

4. Find the value of y

x³ - 4 + 1 = y

x³ -3 = y

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HOW DO I DO THIS AND WHERE CAN I LEARN MORE

HOW DO I DO THIS AND WHERE CAN I LEARN MORE

Answers

Answer:

23in

Step-by-step explanation:

The total value is 31, so all you need to do is subtract the other part of the equation from the whole which would give you 23 inches. If you want to learn more got sites like math is fun or quizlet. I suggest this because they explain questions like this in a reeeeaaalllly easy way.

Answer:

23 in

Step-by-step explanation:

23 in23 in23 in23 in23 in23 in23 in23 in23 in23 in23 in

you have a bill of $100. find a 18% tip?​

Answers

Answer:

$18

Step-by-step explanation:

18% of 100 is 18

Answer:

$18.00

Step-by-step explanation:

18% of $100 dollars is 18/100.

the tip is $18.00 dollars.

Please help with this problem

Please help with this problem

Answers

The answer is: A - 50

HELPPP
3p-4-8p<-19
i need the steps as well

Answers

9514 1404 393

Answer:

  p > 3

Step-by-step explanation:

  3p -4 -8p < -19 . . . . . . given

  -5p -4 < - 19 . . . . . . . . collect terms

  -5p < -15 . . . . . . . . . . . add 4

  p > 3 . . . . . . . . . . . . . . divide by -5 (reverses the inequality symbol)

Fill in the blank by performing the indicated elementary row operation(s).
6
1
5
-6R2+R
1
-5
0
Answer 7 Points
Keybo
<
Prev

Fill in the blank by performing the indicated elementary row operation(s).615-6R2+R1-50Answer 7 PointsKeybo&lt;Prev

Answers

In this question, we are given a matrix, and we have to perform the given operation.

The matrix is:

\(\left[\begin{array}{ccc}6&-1&|5\\1&-5&|0\end{array}\right]\)

The following operation is given:

\(R_1 \rightarrow -6R_2 + R_1\)

In which \(R_1\) is the element at the first line and \(R_2\) is the element at the second line.

Updating the first line:

\(R_{1,1} = -6*1 + 6 = 0\)

\(R_{1,2} = -6*-5 - 1 = 30 - 1 = 29\)

\(R_{1,3} = -6*0 + 5 = 5\)

Thus, the filled matrix will be given by:

\(\left[\begin{array}{ccc}0&29&|5\\1&-5&|0\end{array}\right]\)

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Assume the number of customers who order a dessert with their meal on a given night at a local restaurant has the probability distribution given below. The variance for the random variable x is _____. a. .77

Answers

Complete question :

X: 3, 4, 5, 6

f(x): .25, .55, .15, .05

Answer:

0.60

Step-by-step explanation:

Given the data:

Variance (s) :

Σx²*f(x) - E(x)²:

E(x) = (3*0.25) + (4*0.55)+(5*0.15)+(6*0.05) = 4

Σx²*f(x) - E(x)²: [(3^2 * 0.25)+(4^2 * 0.55)+(5^2 * 0.15)+(6^2 * 0.05)] - 4²

16.6 - 16 = 0.6

22,056 people went to the baseball game on Sunday. Half as many people came on money. How many people were at the baseball game on Sunday and Monday altogether?

Answers

Answer:

33084

Step-by-step explanation:

22056 divided by 2 =11028

altogether (on sunday and monday) the total amount would be..

22056+11028=33084

Answer:

33084

Step-by-step explanation:

If 22056 people came to the game on Sunday and Half as many people came on Monday, you do

22056 divided by 2. this is how many people cam on monday

Add this answer to 22056 and this is how many people came on both days.

A patterb calls for 2 1/4 yards of material and 1 1/4 yards of lining

Answers

Answer:

the total number of fabric need is 3 and 1/2 because 2 1/4 and 1 1/4 equals 3 1/2.

Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k)left parenthesis, k, right parenthesis she can drive with 12 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.


How many kilometers can Pamela drive with 12 liters of fuel?

Answers

Answer:

132 kilo meters

Step-by-step explanation:

Pro por tions:

9 lite rs ⇒ 99 km

12 lite rs  ⇒  P km

P = 99*12/9

P = 132 km

Answer:

132

Step-by-step explanation:

give person above brainliest :))

please help fast!!!!!!!!!!

please help fast!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

width = w

length = w + 2.3

perimeter = 2w + 2(w + 2.3) = 53

Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure, oil-filled submarine power cable, a company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm. What hypotheses should be tested, and why

Answers

Answer:

H0 : σ = 0.5

H0 : σ < 0.5

Step-by-step explanation:

From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.

Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.

H1 : σ < 0.5 ;

Therefore, our null will be ;

H0 : σ = 0.5

please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F

Answers

Answer:

I think its C

Step-by-step explanation:

f(x) = -3x2 – 20
Find f(-9)
Please help me

Answers

Answer:

x

=

5

,

4

Step-by-step explanation:

x

=

5

,

4

please help !! find the missing sides

please help !! find the missing sides

Answers

I had this question once in a test as well but instead 30° was there instead of 60° but I’m guessing the answer will be the same too. I’m pretty sure the answer is the last one “x=14 y=7”

Select the correct answer from each drop-down menu.

The total area of the three triangles is
square units.
The area of the figure is
square units.

Answers

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Select the correct answer from each drop-down menu.The total area of the three triangles is square units.The

Vertical lines have a /an ______ slope

Answers

Answer:

N/A

Step-by-step explanation:

Vertical lines do not have a slope, unlike horizontal lines, which have a slope of 0

Answer is “undefined” slope

Explanation

Vertical lines have an “undefined slope”because the horizontal change on the x axis is 0 — and slope is y/x - you cannot divide a number by 0.

Write word problems for 31/3 which have the following appropriate answers:

1. 10

2. 11

3. 10 with a remainder of 1

4. 10.33

5. 10 1/3

6. 31/3

Answers

Answer:

1. List (in order) the five phases a single 2 solar mass will go through in its life.

2. List (in order) the five phases a single 25 solar mass will go through in its life.

3. List (in order) the five phases a single 60 solar mass will go through in its life.

Phase options (can be used more than once, some may not be used at all):

Type II Supernova

Protostar

White Dwarf

Giant Phase

Main sequence

Neutron Star

Brown Dwarf

Black Hole

Type 1a Supernova

Planetary Nebula

Step-by-step explanation:

You can use the notation P(A), read “the probability of event B, given event A” to write a

A. Probability distribution
B. Frequency table
C. Conditional probability
D. Cumulative probability

Answers

You can use the notation P(A), read “the probability of event B, given event A” to write a conditional probability. The correct answer is C.

Conditional probability refers to the probability of one event occurring given that another event has already occurred. In this case, we are interested in the probability of event B occurring given that event A has already occurred, and we can represent this using the notation P(B|A), where '|' means 'given'.

For example, let's say we are interested in the probability of getting a head on a coin toss (event B), given that the coin was flipped and landed on heads (event A). We could represent this using the notation P(B|A). The value of P(B|A) would be 1, because if the coin already landed on heads, then the probability of getting a head on the next flip is certain.

Conditional probability is an important concept in probability theory and is often used in real-world applications, such as predicting the likelihood of a disease given certain symptoms, or the probability of an event occurring given certain conditions.

The correct answer is C.

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How many different 3-digit numbers are possible using only the digits 1,2,6,7,8 ? How many different 3-digit numbers are possible using only the digits 1,2,6,7,8, if repetition of digits is not allowed?

Answers

The number of three digit number formed are-

Repetition allowed = 125Repetition not allowed = 60What is defined as the combination?A combination is an algebraic technique for determining the number of distinct arrangements in a set of items in which the sequence of the selection is irrelevant. You can choose the items in either order in combinations. Permutations and combinations are often confused.

For the given question;

The three digit number is to be formed.

The digits are given as-  1,2,6,7,8

Case 1: Repetition allowed

The number of combination will be;

= 5×5×5

= 125

Thus, the number of three digit number formed with repetition is 125.

Case 2: Repetition not allowed

The number of combination will be;

= 5×4×3

= 60

Thus, the number of three digit number formed with without repetition is 125.

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Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. The cost of Rebecca’s total purchase is $39.

Answers

Answer:

3 pairs of socks

Step-by-step explanation:

2 shirts *12per shirt = $24 spent so far

$39 - $24 dollars spent so far = $15 dollars left

$15 dollars left/$5 per pair of socks = 3 pairs of socks.

An equation is formed of two equal expressions. The total number of socks that Rebecca bought is 3.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of pairs of socks that Rebecca bought be represented by x.

Given that Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. Also, the total purchase value is $39. Therefore, we can write the equation as,

Purchase value of socks + Purchase value of t-shirts = Total purchase value

($5 × x) + ($12 × 2) = $39

5x + 24 = 39

5x = 39 - 24

5x = 15

x = 15/5

x = 3

Hence, the total number of socks that Rebecca bought is 3.

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There are 80 people in a choir.
Half the people in the choir are women.
The number of men in the choir is one quarter of the number of women.
The rest of the people in the choir are children.
the number of children in the choir : the number of men in the choir = n : 1
Work out the value of n.
You must show how you get your answer.
n =

Answers

There are 30 children in the choir

Number of people in the choir = 80

Number of women = 1/2 × 80 = 40.

Number of men = 1/4 × 40 = 10

Therefore, the number if children will be:

Men + Women + Children = 80

10 + 40 + n = 80

n = 80 - 40 - 10

n = 50

There are 30 children in the choir.

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Answer:

N=3

Step-by-step explanation:

Number of people in the choir = 80

Number of women = 1/2 × 80 = 40.

Number of men = 1/4 × 40 = 10

Therefore, the number if children will be:

Men + Women + Children = 80

10 + 40 + n = 80

n = 80 - 40 - 10

n = 50

There are 30 children in the choir.

Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.

Answers

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

grace thought of a number, added 7, multiflied by 3, took away 5 and divided by 4 to give an answer of 7

Answers

Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.

answer the following function, algebra 1.

answer the following function, algebra 1.

Answers

Answer:

g(f(x)) = 1x² + 1

Step-by-step explanation:

We are given:
f(x) = x² - 1

g(x) = x + 2

And we want to find g(f(x)).

To do this, we substitute f(x) as x in x+2 (the expression that is equal to g(x)), as g(f(x)) is saying that f(x) is the value of x in g(x).

So, this will be:

g(f(x)) = x² - 1 + 2

Simplify

g(f(x)) = x² + 1

In your system, place 1 in front of x² - this is the coefficient of x², and also 1 after that - this is a constant.

​Betsy, a recent​ retiree, requires ​$6,000 per year in extra income. She has ​$60,000 to invest and can invest in​ B-rated bonds paying ​13% per year or in a certificate of deposit​ (CD) paying 5​% per year. How much money should be invested in each to realize exactly ​$6,000 in interest per​ year?

Answers

$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.

The total amount to be invested is $60,000. We are given two options for investing the money.The money can be invested either in B-rated bonds, which pays ​13% interest per year, or in a certificate of deposit​ (CD), which pays 5​% interest per year.Let the amount to be invested in B-rated bonds be 'x'. The amount to be invested in a certificate of deposit equals 60,000-x. The requirement is to get an exact amount of interest that equals $6000. The total interest per year = 13% of 'x' + 5% of (60,000-x).6,000 = 13x/100 + 5(60,000-x)/100.6,00,000 = 13x + 5(60,000-x)6,00,000 = 13x + 300,000-5x6,00,000 = 8x + 300,0008x = 300,000x = 300,000/8x = 37,500Now calculate the value of 60,000-x.60,000-x = 60,000-37,50060,000-x = 22,500Thus, the amount to be invested in B-rated bonds is $37,500 and the amount to be invested in a certificate of deposit is $22,500.

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Workplaces for employees in the Engineering and Technology pathway would mostly likely be areas that need to be O measured and mapped. O researched for wildlife. recorded and preserved. observed and managed. Moving truck makes the displacement of (180m) toward east in period of(9.0s). What is the average velocity of the truck?someone please help!! Which of the following is the primary assertion related to testing inventory on hand to see if it includes consignment goods ? a. Existenceb. Completenessc. Valuationd. Rights and Obligations The diagram represents a right rectangular prism with dimensions labeled as algebraic expressions.Determine the volume for the figure below. Select all that apply. A. 7x B. 4x225 C. 12x375x D. 3x(4x225) E. (2x+5)(6x215x) F. 12x3+60x3+75x G. 12x3+30x+10x25 Obtain the power factor for the given circuit. Determine whether the power factor is leading or lagging. Assume R-8 . -j2 -j2 The power factor for the given circuit is ? Heather has a rectangle poster that is 14 cm long and 10 cm wide. What is the area of the poster in square meters? Do not round your answer. Be sure to include the correct unit in your answer. Who is depicted in the image above? Prior to the late 1990s, the same company that generated your electricity also distributed it to you over high-voltage lines. Since then, 16 states and the District of Columbia have begun separating the generation from the distribution of electricity, allowing competition between electricity generators and between electricity distributors. a. Assume that the market for electricity distribution was and remains a natural monopoly. Use a graph to illustrate the market for electricity distribution if the government sets price equal to average total cost. b. Assume that deregulation of electricity generation creates a perfectly competitive market. Also assume that electricity generation does not exhibit the characteristics of a natural monopoly. Use a graph to illustrate the cost curves in the long-run equilibrium for an individual firm in this industry. PLEASE HELP WITH THIS. Complete the table of the parts of the nervous system and their functions. PLEASE NO LINKS OR SCAMS!!!!!! if i ____ you, i would apply for that job immediately. group of answer choices was chemists commonly use a rule of thumb that an increase of 10 k in temperature doubles the rate of a reaction. what must the activation energy be for this statement to be true for a temperature increase from 25 to 358c? Gandhi believed in self-reliance and simplicity.Which excerpt from the passage supports this inference?A. O Although I had furnishme the house with care, yet it failed to have any hold on me.B.I went to court with the collar on, thus inviting the ridicule of brother barristers, but evenin those days I could be impervious to ridicule.C."I prefer by far to wash my things myself." But I could not make my friends appreciatethe beauty of self-help.D.I succeeded more or less in cutting the front hair, but I spoiled the back.Conwright 2021 Illuminate Education, Inc. All Rights Reserve The oligopoly market structure is characterized by several defining qualities, one of which is either similar or identical products. Of the following list of characteristics, which others describe the oligopolistic market structure? check all that apply. Pasagot Po Thanks Sa Sasagot Does spongy bone have a Haversian canal? Define and describe what is valued when reading in history plz help find slope urgent helpppppo plzzz Grace is taking a road trip that is 1,133 miles long. She has already driven 978 miles. How manymore miles does Grace need to drive?1122 miles Which is an objective summary of the forgiveness triumphs"" theme that is developed in act v of hamlet?. The transactions carried out by BTS Corporation during the year caused an increase in total assets of $150,000 and a decrease in total liabilities of $60,000. If no additional investment was made by the investors during the year and dividends of $42,000 were paid, what was the net income for the year?