help plsss asappp it’s on khan

Help Plsss Asappp Its On Khan

Answers

Answer 1

Answer:

I guess the answer is

[tex] \frac{19}{20} [/tex]


Related Questions

If given the rule y=-x + 5, what is the OUTPUT if the input is -2?

Answers

Answer:

y = 7

Step-by-step explanation:

Step 1: Define

y = -x + 5

x = -2

Step 2: Substitute and evaluate for y

y = -(-2) + 5

y = 2 + 5

y = 7

Please solve this question. ​

Answers

Answer:  see proof below

Step-by-step explanation:

[tex]x^a=y^b=z^c\ =k\\[/tex]

Then   [tex]x^a=k\qquad \rightarrow \qquad x=k^{\frac{1}{a}}[/tex]

and    [tex]y^b=k\qquad \rightarrow \qquad y=k^{\frac{1}{b}}[/tex]

and    [tex]z^c=k\qquad \rightarrow \qquad z=k^{\frac{1}{c}}[/tex]

 y³ = x · z

[tex](k^{\frac{1}{b}})^3=k^{\frac{1}{a}}\cdot k^{\frac{1}{c}}\\\\k^\frac{3}{b}}=k^{\frac{1}{a}+\frac{1}{c}}\\\\\\\bold{\dfrac{3}{b}=\dfrac{1}{a}+\dfrac{1}{c}}\quad \checkmark[/tex]

1 3 points Consider the following graphs: y = 2r +1. x² - y² = 1. 2 = 0. y? 4. 2r + y = 4. Consider the names of graphs below: Linear graph. Parabola. Ellipse. Hyperbola. Match the "numbers" with the correct corresponding "letter". For example the graph y 3 N 4 1 2z+1 is a liner graph therefore 1 matches with A.

Answers

The graph names are matched with the corresponding numbers as follows: 1 corresponds to linear graph (A), 2 corresponds to hyperbola (D), 3 corresponds to ellipse (C), and 4 corresponds to parabola (B).

The given graph equations can be analyzed to determine their shapes and corresponding names.

1. The equation y = 2r + 1 represents a linear graph, where the variable r has a coefficient of 2 and there is no squared term present.

2. The equation x² - y² = 1 represents a hyperbola, as it involves the difference of two squared terms.

3. The equation 2 = 0 is a contradiction, as it states that 2 is equal to 0, which is not possible. Therefore, it does not correspond to any specific graph.

4. The equation 2r + y = 4 represents a linear graph, similar to equation 1, with the variables r and y having coefficients.

By matching the numbers with the corresponding lettered graph names, we find that 1 corresponds to linear graph (A), 2 corresponds to hyperbola (D), 3 corresponds to ellipse (C), and 4 corresponds to parabola (B).

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It says here to use the information to write a standard form equation of this circle and I can’t find any answer


1) Center: (2, 4)
Radius: V215

Answers

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

Using this formula, we can write the equation of the circle with center (2, 4) and radius √215 as follows:(x - 2)² + (y - 4)² = (√215)²

Simplifying this equation, we get:(x - 2)² + (y - 4)² = 215

Thus, the standard form equation of this circle is (x - 2)² + (y - 4)² = 215.

The center of the circle is (2, 4) and the radius is √215.

To write the standard form equation of the circle, we use the formula (x - h)² + (y - k)² = r².

Plugging in the values of the center and radius, we get the equation (x - 2)² + (y - 4)² = 215.

What is Standard Form means?

Standard form refers to a specific way of writing mathematical equations, typically used in algebra. It involves representing an equation as a linear combination of variables and constants, where the variables are raised to the power of one and the coefficients are integers.

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what is the simplified form of 0.2 to the fifth power?

Answers

Answer:

0.32

Step-by-step explanation:

0.2 to the fifth power is 0.00032, so that simplified is 0.32.

Answer

0.32

Step-by-step explanation:

"0.2222" was replaced by "(2222/10000)". 4 more similar replacement(s)

                  1111

Simplify   ————

                  5000

       22            222        2              1111

 (((———•4)•{————}3——)•5)•(————2)

      100           1000      10            5000

1111 = 11•101

(1111)2 = (11•101)2 = 112 • 1012  2.2     5000 = 23•54 (5000)2 = (23•54)2 = 26 • 58

22    ( 222   2     (112•1012)

 (((———•4)•{————}3——)•5)•——————————

    100     1000  10      (26•58)  

           1

Simplify   —

           5

     22    ( 222  1     (112•1012)

 (((———•4)•{————}3—)•5)•——————————

    100     1000  5      (26•58)  

           111

Simplify   ———

           500

     22    111  1     (112•1012)

 (((———•4)•———3)—)•5)•——————————

    100    500  5      (26•58)  

5.1     111 = 3•37

(111)3 = (3•37)3 = 33 • 373  5.2     500 = 22•53 (500)3 = (22•53)3 = 26 • 59

     22    (33•373)   1     (112•1012)

 (((———•4)•———————— ÷ —)•5)•——————————

    100    (26•59)    5      (26•58)  

        (33•373)      1

Divide  ————————  by  —

        (26•59)       5

6.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

(33•373)     1       (33•373)     5

————————  ÷  —   =   ————————  •  —

(26•59)      5       (26•59)      1

Dividing exponents:

6.2    51   divided by   59   = 5(1 - 9) = 5(-8) = 1/58

     22        (33•373)         (112•1012)

 (((——— • 4) • ————————) • 5) • ——————————

    100        (26•58)           (26•58)  

           11

Simplify   ——

           50

    11        (33•373)         (112•1012)

 (((—— • 4) • ————————) • 5) • ——————————

    50        (26•58)           (26•58)  

Multiplying exponents

8.1    52  multiplied by  58   = 5(2 + 8) = 510

Dividing exponents:

8.2    21   divided by   26   = 2(1 - 6) = 2(-5) = 1/25

Equation at the end of step

8

:

  (11•33•373)        (112•1012)

 (——————————— • 5) • ——————————

   (510•25)           (26•58)  

Dividing exponents

9.1    51   divided by   510   = 5(1 - 10) = 5(-9) = 1/59

 (11•33•373)   (112•1012)

 ——————————— • ——————————

   (59•25)      (26•58)  

Multiplying exponents

10.1    111  multiplied by  112   = 11(1 + 2) = 113

Multiplying exponents:

10.2    59  multiplied by  58   = 5(9 + 8) = 517

Multiplying exponents:

10.3    25  multiplied by  26   = 2(5 + 6) = 211

Final result :

 (113•33•373•1012)          

 ————————— = 0.32

     (517•211)              

If an explanatory variable is exogenous it implies that: a. the variable cannot be correlated with other explanatory variables. b. the variable is not correlated with the regression error. c. the variable must have zero mean. d. the value of the variable must be randomly assigned.

Answers

b. the variable is not correlated with the regression error. if an explanatory variable is exogenous, it means that the variable is not correlated with the regression error term. This assumption is important for obtaining unbiased and consistent parameter estimates in regression analysis.

If an explanatory variable is exogenous, it implies that the variable is not correlated with the regression error term. In other words, the exogenous variable is unrelated to the factors that are not explicitly included in the regression model and captured by the error term.

Exogeneity is an important assumption in regression analysis, as violating this assumption can lead to biased and inconsistent parameter estimates. When an explanatory variable is exogenous, it means that its value is determined independently of the other variables in the model and the error term.

Let's briefly discuss the other options:

a. The variable cannot be correlated with other explanatory variables: Exogeneity does not necessarily imply that the variable cannot be correlated with other explanatory variables. Explanatory variables can be correlated with each other as long as they are not correlated with the regression error term.

c. The variable must have zero mean: Exogeneity does not require that the variable has a zero mean. Exogeneity refers to the lack of correlation between the variable and the regression error, not its mean value.

d. The value of the variable must be randomly assigned: Exogeneity does not require that the value of the variable is randomly assigned. Exogeneity implies that the variable is not affected by the regression error and is determined independently of the other variables in the model, but it does not necessarily imply a random assignment of values.

In summary, if an explanatory variable is exogenous, it means that the variable is not correlated with the regression error term. This assumption is important for obtaining unbiased and consistent parameter estimates in regression analysis.

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PLEASE HELP ASAP! I'd really appreciate it! brainliest answer! Ignore what I clicked, I accidentally hit it

Answers

Answer:

46

Step-by-step explanation:

Angle Formed Outside = 1/2(Difference of Intercepted Arcs)

The arcs are 226 and (360 -226 =134)

y = 1/2 ( 226 - 134)

y = 1/2( 92)

y =46

Please help I’m being timed on this! ://
Write an algebraic rule to describe the translation P(-8,6) ► P(-10,2).
A (x,y) (- 18.y+8)
B. (x,y) → (x+2,y+4)
C. (x,y) → (x +4,y - 2)
D. (x,y) → (x-2,y-4)

Answers

Answer:

its going to be D (x,y) - (x-2,y-4)

Step-by-step explanation:

Over the last ten years a compary/s annual earnings increased year over year six (not seven) times and decreased four times. You decide to model the number of earnings increases for the next decade as a binomial random variable. Define success as an increase in annual eamings. Crease an estimate of the probability of success and assume that your eatimate of the probebility of success is the actual probabilisy of success. What is the probabilty that eamings will increase in exactly four (not five) of the next ten years? Give your answer as a probability rounded to three docimal places, so in the format 0××O.

Answers

From the given problem, we can say that the model of the number of earning increases in the next decade is a binomial random variable. Here, success is defined as an increase in annual earnings. We have to estimate the probability of success and assume that the estimated probability of success is the actual probability of success.

We need to find the probability that earnings will increase in exactly four of the next ten years. According to the given problem, we can say that the probability of earning increases is represented as a binomial distribution. A binomial distribution is used to model the number of successes in a given number of trials. It is used when there are two possible outcomes, success or failure, in each trial. It is the probability distribution of the number of successes in a fixed number of independent trials with only two possible outcomes.Success is defined as an increase in annual earnings. So, the probability of success can be represented as p and the probability of failure can be represented as q. Therefore, q = 1 - p. The binomial distribution can be written as:P(x) = nCx * px * (1 - p)^(n - x)Here, nCx represents the number of ways of choosing x successes from n trials. px represents the probability of x successes in n trials. (1 - p)^(n - x) represents the probability of (n - x) failures in n trials.Now, we can use the formula of binomial probability distribution to calculate the probability of earning increases in exactly four of the next ten years. We have to find the value of P(x = 4) for n = 10, p = 6/10 = 0.6, and q = 1 - p = 1 - 0.6 = 0.4.P(x = 4) = 10C4 * (0.6)^4 * (0.4)^6P(x = 4) = 210 * 0.1296 * 0.16777P(x = 4) = 0.02938So, the probability of earnings increasing in exactly four of the next ten years is 0.02938.

The probability of earnings increasing in exactly four of the next ten years is 0.02938.

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Solve the proportion to find x: x/30=0.4/0.375 A 25 B 32 C 36 D 40

Answers

Answer:

the answer is b) 32

Step-by-step explanation:

The value of 'x' comes as 32.

ProportionWhat is proportion?

An equation with two ratios set equal to one another is called a proportion.

For instance, a/b = c/d or a:b = c:d are written as proportions.

How is value is calculated in proportion?

We must take the following actions in order to apply proportions to solve ratio word problems:

Determine the known and unknown ratios.Establish the ratio.Solve by cross-multiplying.Estimate the value of 'x':

The given proportion is,

x/30 = 0.4/0.375

x = (0.40×30)/0.375

x = 32

The value of 'x' is found to be 32.

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How many observations should a time study analyst plan for in an operation that has a standard deviation of 1.5 minutes per piece if the goal is to estimate the mean time per piece to within .4 minute with a confidence of 95.5 percent? (Do not round intermediate calculations. Round up your final answer to the next whole number.)


Number of observations

Answers

The time study analyst should account for at least 55 observations in order to calculate the mean time per item with a 95.5% confidence level and a 0.4 minute margin of error.

We can use the sample size calculation formula in a confidence interval to get the number of observations required for a time study with the specified parameters:

[tex]n = (Z * \sigma / E)^2[/tex]

Where:

n = sample size

Z = The target confidence level's Z-score (95.5% translates to roughly 1.96)

σ = procedure standard variation (1.5 minutes per piece)

E = margin of error (0.4 minutes)

Plugging in the values, we can calculate the sample size:

[tex]n = (1.96 * 1.5 / 0.4)^2[/tex]

[tex]n = (2.94 / 0.4)^2[/tex]

[tex]n = 7.35^2[/tex]

n ≈ 54.02

We round up the sample size to the next whole number because we can't have a portion of an observation:

n = 55

Therefore, the time study analyst should prepare for at least 55 observations to estimate the mean time per item with a margin of error of 0.4 minutes and a confidence level of 95.5%.

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Problem 2(2×10=20 pts ) A car repair shop has two hoists where cars can be lifted for repair work. Currently customers leave the shop (after finishing their repairs) at a rate of 4 per hour. On average 8 cars are waiting to be processed. a. On the average, how long do customers wait before being processed? b. Some of the customers need routine repairs and others need major repairs. The repair shop owner feels that he is losing many customers needing routine repair because of the long wait and, therefore, dedicates one hoist for routine repair and one for major repairs. A study indicates that the throughput rate for routine repairs is 3 per hour and the throughput rate for major repairs is 1 per hour. On the average 5 people are waiting for routine repairs and 3 on average are waiting for major repairs. Given these assumptions, how long does each type of customer now wait before being served?

Answers

On average, customers needing routine repairs wait for 1.67 hours, while customers needing major repairs wait for 2.5 hours before being served.

Let's consider the average number of customers waiting and the throughput rates for routine repairs and major repairs. With one hoist dedicated to routine repairs and one hoist dedicated to major repairs, the throughput rate for routine repairs is 3 cars per hour, and the throughput rate for major repairs is 1 car per hour. The average number of customers waiting for routine repairs is 5, and the average number of customers waiting for major repairs is 3. Using Little's Law, which states that the average number of customers in a system is equal to the arrival rate multiplied by the average time spent in the system, we can calculate the average waiting time for each type of customer. For routine repairs, the arrival rate is 3 cars per hour, and the average number of customers waiting is 5. Therefore, the average waiting time for routine repairs is 5/3 = 1.67 hours. Similarly, for major repairs, the arrival rate is 1 car per hour, and the average number of customers waiting is 3. Therefore, the average waiting time for major repairs is 3/1 = 3 hours. By dedicating one hoist to routine repairs and one hoist to major repairs, the average waiting time for routine repairs is reduced compared to the previous scenario when all repairs were done on a first-come, first-served basis. However, the waiting time for major repairs has increased due to the lower throughput rate for major repairs compared to routine repairs.

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Complete the equation of the line whose y-intercept is (0,5) and the slope is −9

Answers

Y=5+-9x is the answer of the question you asked

Solve for m:
n + m - a = d

Answers

The answer is m=a+d-n
Yup what the person above me said

What is the solution to –4|–2x + 6| = –24?

x = 0
x = 0 or x = –6
x = 0 or x = 6
no solution

Answers

Answer:

x=0 or x=6

.......................................................

hi the answer is the third one, 0 or x = 6

WILL SOMEONE PLZ HELP ME!! I'VE ASKED LIKE 5 TIMES NOW!!! Approximately how long will it take you to double your savings of $500 if you open a CD that earns 4% interest, according to the rule of 72?

Answers

Answer:

18 years

Step-by-step explanation:

Rule of 72

(72)/(interest)=years to double

72/4=18

The Constitution is on display in a glass case at a museum. Suppose the museum charged an entrance fee of $12.50 per person and made $1,150 in entrance fees that day. If 25% of the day's visitors were kids, how many kids visited the museum that day?
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A69 kids
B23 kids
C25 kids
D46 kids

Answers

Answer:

23 kids

Step-by-step explanation:

Complete the sentence. Calculate the circumference of the circle. Use 3.14 for pi . Round the answer to the nearest hundredth. The circumference of the circle is about meters.

Answers

The circumference of the circle is about 10.05 meters

How to calculate the circumference of the circle

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

Diameter, d = 3.2 inches

The circumference of the circle is calculated as

C = πd

Substitute the known values in the above equation, so, we have the following representation

C = 3.14 * 3.2

Evaluate

C = 10.05

Hence, the circumference of the circle is 10.05 meters

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Question

Complete the sentence. Calculate the circumference of the circle. Use 3.14 for pi . Round the answer to the nearest hundredth.

Diameter = 3.2 inches

The circumference of the circle is about __ meters.

i need help asap if Simeón could help me in 3 more problems

Answers

Answer:

x=-90

Step-by-step explanation:

Simon neatly arranged 35 radio-controlled cars in 5 rows on the shelf.Find the number of cars placed in each row.

Answers

Answer:

7

Step-by-step explanation:

35 / 5 = 7

Answer:

7 = 35 cars/5 rows= 7 cars per row

Eli is driving on a long road trip. He currently has 12 gallons of gas in his car. Each hour that he drives, his car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after t hours?

Answers

Answer:

he would only have 5 gallons left after 4 hours

how many are 15 x 15 ?​

Answers

Answer:

225

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

15x15

5x5=25

5x1+2=7

add 0

1x5=5

1x1=1

75+150=225

in a certain company 120 of the employees are men. what is the total number of employees if 5 out of every 8 employees are men?

Answers

Answer:

There are 192 employees in the company.

Step-by-step explanation:

Let x be the total number of employees

Use ratio and proportion

[tex]\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192[/tex]

x = 192

A movie was 3 and one-half hours long. If Lily turned the movie off One-fourth of the way through, how much time did she spend watching it? StartFraction 1 Over 14 EndFraction of an hour StartFraction 7 Over 8 EndFraction of an hour 1 and StartFraction 1 Over 7 EndFraction of an hour 14 hours

Answers

Answer:

StartFraction 7 Over 8 EndFraction of an hour

7/8 hour

Step-by-step explanation:

Total movie time = 3 1/2 hours

Lily turned the movie off One-fourth of the way through,

1/4 of 3 1/2

= 1/4 ×7/2

= 7/8 hour

how much time did she spend watching it.

Time spent watching the movie = 3 1/2 hour - 7/8 hour

= 7/2 - 7/8

= 14-7/8

= 7/8 hour

StartFraction 7 Over 8 EndFraction of an hour

Answer:

7/8 of an hour

Step-by-step explanation:

Solve the inequality.
16 (x) > 24 - 2x
OA. x>6
OB. x>-1
OC. x>-6
OD. x > 16
10

Answers

The value of the variable is x > 16/3. Option D

How to solve the inequality

From the information given, we have that the inequality is expressed as;

16 (1/4x - 1/2) > 24 - 2x

First, we have to expand the bracket, we have;

16 ×1/4x - 16 × 1/2 > 24 - 2x

Divide the values, we get;

4x - 8 > 24 - 2x

Now, we have to collect the like terms, we get that;

4x + 2x > 24 + 8

Add the collected values of like terms, we have;

6x > 32

Now, divide both sides by the coefficient of x, we have;

x > 32/6

Divide the values, we have;

x > 16/3

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Which expression is equivalent to (7 to the power of -8) (7 to the power of 3) ?

Answers

Answer:

7^-5

Step-by-step explanation:

7^-8 .* 7^3=7^-8+3 =7^-5

Put the following equation of a line into slope-intercept form, simplifying, all
fyachong
5x+6y=-24

Answers

Answer:

y=-5/6x-4

Step-by-step explanation:

Please help me please please. Thank you!!!

Answers

The answer would be D

Work out the value of 2^13 / (2^9)^2

Answers

Answer:

1/32

Step-by-step explanation:

2^13/ (2^9)^2 = 2^13/2^18 = 1/2^5 = (2x2x2x2x2=32) = 1/32

The value of the expression 2¹³ / 2¹⁸ is 1/32.

What is Expression?

An expression is combination of variables, numbers and operators.

We have to find the value of 2¹³ / (2⁹)²

From the exponential property [tex](a^m)^n=a^m^n[/tex]

Let us simplify the denominator  (2⁹)² = 2¹⁸

The expression becomes of 2¹³ / 2¹⁸

Now let use the property [tex]\frac{a^m}{a^n} =a^m^-^n[/tex]

2¹³ / 2¹⁸

[tex]2^-^5[/tex]

We can write this in the form of fraction 1/2⁵

1/2×2×2×2×2

1/32

Hence, the value of the expression 2¹³ / 2¹⁸ is 1/32.

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Steve has 12 guppies. Their population decreases by 3% each year. How many guppies will there be in one year?

Answers

Answer:

11 guppies

Step-by-step explanation:

my teacher told me the answer

Other Questions
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Match the inquiry to its best answer. 1.This notion is a characteristic of a project. 2.One of the traditional constraints of project management is 3.Improving the time of a project is done by 4.You have a table that describes the tasks to be performed. along with the duration of the tasks and immediate predecessors. That table provides the 5.When you are relatively sure of how to do a project, like build a building, this project management approach is helpful. Choosea.Work breakdown structure b.PERTc.Temporary with a beginning and an end d.crashing the criical pathe.weatherf.scope Identify some businesses that have recently opened in your area. What are their chances of survival, and why? How would you advise the owners or managers of those businesses to enhance their success? X Company estimates the following for its only two products for 2022 - X and Y: X Y 4,000 780 Unit sales Selling price $12.90 $35.20 Variable cost $6.50 $26.40 Total fixed costs in 2022 are expected to be $16,200. What must total unit sales be in 2022 in order for X Company to break even [round per-unit numbers to two decimal places]? OA: 1,868 OB: 2,111 OC: 2,386 OD: 2,696 OE: 3,047 OF: 3,443 (a) Suppose there are two pizza restaurants, GoGo Pizza and RunRun Pizza. If GoGo Pizza discriminates against black workers, while RunRun Pizza employs both white and black workers, what will be the possible economic penalty for GoGo Pizza? Explain with the labor market diagram for GoGo Pizza. Amelia is building 3 square garden beds that are all the same size. She arranges them side-by-side to seperate the certain plants. Amelia wants to know the total area of the garden beds.s= length (ft) of one side of a garden bed.there are three garden beds. they are squares.Write an expression to show the total area of garden beds. How does that cat know of the other portals (question from the movie Coraline) .Which of the following thesis statements has a problem with overlapping points?Succeeding in college requires motivation, perseverance, and confidence.Listening to the instructor, taking notes, and reading all materials are all necessary for college success.Students who attend class, do all required work, and never miss classes will succeed in college.Class attendance, homework, and studying are all essential for success in college. 3x-2y=2i always get mixed up in the final answer y=1 -3/2x 0r y= 1 +-3/2x ? If you were the leader of a small technology firm, how might you imprint in peoples minds the values shown in Exhibit 14.2 for responsive cultures in order to create a high performance culture? Be specific with your ideas. How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same position? B- The average number of callers waiting to place an order=C-The total present cost per hour=D-After adding the second clerk, the average time that catalog must wait before their calls are transferred to the order clerk= ___ minutes.E-After adding a second clerk to take calls and assuming that the store's costs would be the same $12 per hour. The total costs =$___ per hour.F- By hiring the second clerk, the total per hour cost change for Janson's=$___ per hour. 1. What discount rate do you use to discount the future cash flows of a stock? 2. Does an investor's expected holding period affect the amount they would be willing to pay for a stock? 3. How can a firm increase its future dividend per share? 4. What is the enterprise value of a firm? 5. What are the implicit assumptions made when valuing a firm using multiples? What is the fractional equivalent of the repeating decimal n = 0.1515... ? Answer the questions to find out. 1. How many repeating digits does the number represented by n have? Write your answer in the space below. 2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number. Write your answer in the space below. 3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power. Write your answer in the space bel 4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. 5. Write n as a fraction in simplest form. Case Study: Unrest and canned products recall cost KOOowner Tiger Brands over R700 million(20 marks)QUESTION 4 [20 Marks] You have been requested by the CEO of Tiger Brands to submit a report detailing what risk evaluation entails. Critically discuss the contents of your report. homena SAPANC 22-59 What is one major difference between the responsibility to pay taxes and the responsibility to vote?A)Citizens who vote don't have to pay taxesB)Citizens must pay taxes every year, but they must only vote once every four yearsC)All citizens have to vote, but only adults have to pay taxesD)All citizens must pay taxes, but voting is only encouraged How many shares of TIC could you purchase on margin if you have \( \$ 6000 \) ? The market price is \( \$ 20 \) and the margin requirement is 30 percent. A. 428 shares B. 900 shares C. 300 shares D. 1 Angles A and B are supplementary. The measure of angle A is 60 and the measure of angle B is represented by 3x. Which equation can be used to determine the value of x?The equations are A. 60+3x=90B. 3x+60=180C. 60-3x=180D. 3x=60 Table 13-1 Measures of Cost for ABC Inc. Widget Factory Quantity of Widgets | Variable Costs | Total Costs| Fixed Costs0 | | |$151 |$1| | 2 |$3|$18|3 |$6|$21|4 |$10| | 5 | |$30| 6 |$21| |$15Refer to Table 13-1. What is the total cost of producing zero widgets?a. $15 b. $16c. $1d. $20 PA 13-7 (Algo) Goop Incorporated needs to order a raw material to make a special ... Goop incorporated needs to order a raw material to make a special polymer. The demand for the polymer is forecasted to be normally distributed with a mean of 300 gallons and a standard deviation of 100 gallons. Goop sells the polymer for $25 per gallon. Goop purchases raw material for $8 per gallon and must spend $9 per gallon to dispose of all unused raw material due to government regulations. (One gallon of raw material yields one gallon of polymer.) If demand is more than Goop can make, then Goop sells only what it has made and the rest of the demand is lost. Use Table 13.4. Note: If a part of the question specifies whether to use Table 13.4, or to use Excel, then credit for a correct answer will depend on using the specified method. a. How many gallons should Goop purchase to maximize its expected profit? Use Table 13.4. Note: Enter your answer as a whole number. b. Suppose Goop purchases 150 gallons of raw material. What is the probability that it will run out of raw material? Note: Round your answer to 4 decimal places. c. Suppose Goop purchases 400 gallons of raw material. What are the expected sales (in gallons)? Use Table 13.4 and the round-up rule. Note: Round your answer to 2 decimal places. d. Suppose Goop purchases 400 gallons of raw material. How much should it expect to spend on disposal costs (in dollars)? Use Table 13.4 and the round-up rule. Note: Round your answer to 2 decimal places. e. Suppose Goop wants to ensure that there is a 94 percent probability that it will be able to satisfy its customers' entire demand. How many gallons of the raw material should it purchase? Use Table 13.4 and the round-up rule. Note: Enter your answer as a whole number.