The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month
Which individual will pay the most?The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.
Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.
Complete Question:
Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month
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A restaurant manager tracks the number of people in every party to sit at a specific table every day for a week, then compiles the results into a probability distribution as shown in the table:
a.) There is a 25% chance that a party will contain 5 or more people. b.) There is a 50% chance that a party will contain 4 or more people. c.) There is a 50% chance that a party will contain 2 or fewer people.
d.) There is a 75% chance that a party will contain 3 or more people.
There are 25% chance of 5 more people in the party.
Hence option (a) is correct.
Relative frequency = (number of times of occurrence of an event )/ (number of trials)
For the given table
relative frequency for 1 people = 0.05 = 5%
relative frequency for 2 people = 0.46 = 46%
relative frequency for 3 people = 0.18 = 18%
relative frequency for 4 people = 0.22 = 22%
relative frequency for 5 people = 0.06 = 6%
relative frequency for 6 people = 0.03 = 3%
Since relative frequency for 1 people is 5%
Therefore,
Relative frequency for 5 people is = 5x5%
= 25 %
Hence,
Relative frequency of 5 more people 25%.
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2010 2008
$971 $812
$977 $943
$900 $873
$1071 $1023
$501 $486
3. Identify whether the mean or median is a more accurate reflection of the data.
Explain why.
The median is the accurate reflection of the data
How to solve for the mean501, 900, 971, 977, 1071
The mean would be
summation of the values
mean = 884
The median is the value that occurs in the middle = 971
The median would be more accurate reflection of the data. 501 is an outler. This is what caused us to have a mean that is c loser to 884. Hence we have 971 the median to be more accurate reflection of the data
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What is the perimeter and area of the Rhombus?
Z
6.2,
W
Y
7.4
9.7 cm
X
Answer:
Perimeter of rhombus = 4(9.7) = 38.8 cm
Area of rhombus = 4(1/2)(6.2)(7.4)
= 91.76 cm^2
Which of the following represents vector w = ❬–27, 35❭ in linear form?
w = –27i + 35j
w = 27i – 35j
w = –35i + 27j
w = 35i – 27j
Answer: w = –27i + 35j
Step-by-step explanation:
algebra hw I will give brainlyest
The other value of x where g(x) = 15 is 16 in the absolute value function
Finding the value of xSince the vertex of the absolute value function is at (10,0), the equation for the function can be written as:
g(x) = a|x - 10|
To find the value of a, we can use the fact that the function passes through the point (4,15):
15 = a|4 - 10|
15 = 6a
a = 2.5
So the equation for the absolute value function is:
g(x) = 2.5|x - 10|
To find another value of x where g(x) = 15, we can set the equation equal to 15 and solve for x:
2.5|x - 10| = 15
|x - 10| = 6
x - 10 = 6 or x - 10 = -6
x = 16 or x = 4
Therefore, there are two possible values of x where g(x) = 15: x = 16 and x = 4.
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Help I have to turn this in tmw!!
Answer:
[tex]\large\boxed{\tt Area = Length \times Width}[/tex]
[tex]\large\boxed{\tt Area = 8.6 \ cm. \times 3 \ cm.}[/tex]
[tex]\large\boxed{\tt Area = 25.8 \ cm.^{2}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked for the area of a 2D Rectangle.}[/tex]
[tex]\large\underline{\textsf{What is Area?}}[/tex]
[tex]\textsf{Area for 2D shapes is how much space is inside between edges. Consider edges}[/tex]
[tex]\textsf{as the sides of a shape.}[/tex]
[tex]\underline{\textsf{How are we able to find Area?}}[/tex]
[tex]\textsf{Many shapes require different formulas to find the area. Some have the same}[/tex]
[tex]\textsf{formulas however it depends on how many sides the shape has, and the number of}[/tex]
[tex]\textsf{dimensions shown in the shape. For a Rectangle it's simple. Because a Rectangle}[/tex]
[tex]\textsf{has 2 Dimensions (Length and Width), to find the area we should multiply}[/tex]
[tex]\textsf{the dimensions together, hence resulting in the amount of space inside the shape.}[/tex]
[tex]\large\underline{\textsf{Formula;}}[/tex]
[tex]\large\boxed{\tt Area = Length \times Width}[/tex]
[tex]\large\underline{\textsf{Plug in Values;}}[/tex]
[tex]\textsf{The Length and Width aren't mentioned in the question, but it doesn't matter}[/tex]
[tex]\textsf{since we're still going to get the same answer no matter which place they're in.}[/tex]
[tex]\large\boxed{\tt Area = 8.6 \ cm. \times 3 \ cm.}[/tex]
[tex]\large\underline{\textsf{Solving for the Area;}}[/tex]
[tex]\textsf{We have our formula, now multiply the dimensions together.}[/tex]
[tex]\large\boxed{\tt Area = 25.8 \ cm.^{2}}[/tex]
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
A. The expression that represents the total amount of canned food they have collected so far is: 4x² + 2xy + 3
B. Number of canned food still remaining to be collected is: 2x² - 4xy + 5
How to Solve Polynomial Expressions?A polynomial expression is a mathematical expression consisting of variables and coefficients that involves only the operations of addition, subtraction, and multiplication of non-negative integer exponents.
Part A: To find the expression that represents the total amount of canned food they have collected so far, add the expression for each person given together.
3x² - 2 + x² + 2xy + 5
Combine like terms:
4x² + 2xy + 3
Part B: Number of canned food still remaining to be collected is calculated below.
(6x² - 2xy + 8) - (4x² + 2xy + 3)
Open bracket:
6x² - 2xy + 8 - 4x² - 2xy - 3
Combine like terms:
2x² - 4xy + 5
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Drag numbers to the table so it shows a proportional relationship between x and y.
The table is completed as follows:
x = 0.6, y = 6.x = 1.8, y = 18.What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
From the first row, when x = 0.2, y = 2, hence the constant is given as follows:
k = y/x
k = 2/0.2
k = 10.
Hence the equation is:
y = 10x.
Then the numeric values are given as follows:
x = 0.6, y = 10 x 0.6 = 6.x = 1.8, y = 10 x 1.8 = 18.More can be learned about proportional relationships at https://brainly.com/question/7723640
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. Evaluate
11! 11!
24!
.
The evaluations are:
i. 11! = 39916800
ii. 24! = 2.045 x 10^37
What is expansion by factorial?Expansion by factorial is a method of expanding a given number from 1 to the number given. An example is given thus;
5! = 5 x 4 x 3 x 2 x 1!
= 120
To evaluate the given expressions;
a. 11! = 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1!
= 39916800
Also,
b. 24! = 24 x 23 x 22 x 20 x ........ x 5 x 4 x 3 x 2 x 1!
= 204484017332398 x 10 ^23
= 2.045 x 10^37
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Please answer correctly and explain reasoning for brainliest (If correct) and thanks!
Therefore, the correct answer is option C that is LM is reflected over the y-axis to L'M.
What is transformation?In mathematics, a transformation refers to a change in the position, shape, or size of a geometric figure. Transformations can be classified into four types: translation, rotation, reflection, and dilation.
Here,
The transformation of LM to L'M' involves both translation and reflection. To see the translation, we can compare the x- and y-coordinates of L and L', as well as M and M':
The x-coordinate of L' is 5 units more than the x-coordinate of L: -2 = -7 + 5.
The y-coordinate of L' is 2 units less than the y-coordinate of L: -4 = -2 - 2.
The x-coordinate of M' is 5 units more than the x-coordinate of M: 5 = 0 + 5.
The y-coordinate of M' is 2 units less than the y-coordinate of M: 3 = 5 - 2.
Therefore, we can conclude that LM is translated 5 units right and 2 units down to L'M'. This eliminates options OB and OD. To see the reflection, we can compare the x-coordinates of L and M, and their respective x-coordinates in L' and M':
The x-coordinate of L is negative and the x-coordinate of M is positive.
The x-coordinate of L' is negative and the x-coordinate of M' is positive.
Therefore, we can conclude that LM is reflected over the y-axis to L'M'. This eliminates option OA. Therefore, the correct answer is option OC.
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How would I solve this?
Answer:
f(1) = 1
Step-by-step explanation:
Open holes on a graph means that the function is not defined at that point, so we ignore the open hole.
At f(1), there is both an open hole at y=-2 and a closed hole at y=1
We ignore the open hole as it is not defined so the answer would be the closed hole, y = 1
So f(1) is 1
Find f(-1).
Provide your answer below:
f(t)=-3t²-2t+1
Answer:
f(-1)=0
Step-by-step explanation:
To evaluate the function f(t) = -3t² - 2t + 1, we will start by plugging in -1 everywhere t occurs in the function :
[tex]\star \phantom{t-u} f(-1)=-3(-1)^2-2(-1)+1\\\\\\\star\phantom{t-u} f(-1)=-3*1+2+1\\\\\star\phantom{t-u} f(-1)=-3+3\\\\\underline{\star\phantom{t-u}f(-1)=0}[/tex]
[tex]\bigstar[/tex] Therefore the answer is f(-1) = 0
Factor the polynomial completely. If the polynomial is prime, so state.
15y2 - 19y + 6
Answer: 15y2 - 19y + 6 = 0
Step-by-step explanation:
The first term is, 15y2 its coefficient is 15 .The middle term is, -19y its coefficient is -19 .The last term, "the constant", is +6 Step-1 : Multiply the coefficient of the first term by the constant 15 • 6 = 90 Step-2 : Find two factors of 90 whose sum equals the coefficient of the middle term, which is -19 .
Use synthetic division to rewrite the following fraction in the form q(x)+r(x)d(x)
, where d(x) is the denominator of the original fraction, q(x)is the quotient, and r(x) is the remainder.
The result of the synthetic division is:4x⁵+17x⁴+14x³-3x²+2 = (4x⁴ + 5x³ - x²) (x + 3) + 56
what is synthetic division ?
Synthetic division is a simplified method of dividing a polynomial by a linear factor. It is commonly used in algebra to find the quotient and remainder when dividing a polynomial by a linear factor of the form (x-a).
In the given question,
To use synthetic division to rewrite the fraction, we first set up the problem like this:
-3 | 4 17 14 -3 0 2
| -12 -15 3 0
+----------------------------------
4 5 -1 0 0 2
The coefficients of the polynomial are written in descending order of powers of x, with any missing terms replaced by zeros. The divisor, x + 3, is written on the left, and the first coefficient of the polynomial is written on the top of the vertical line.
We then proceed to perform synthetic division as follows:
Bring down the first coefficient, which is 4, and write it under the horizontal line.
Multiply the divisor, -3, by the number we just brought down, which gives -12. Write this number under the next coefficient, 17.
Add the two numbers, 17 and -12, to get 5. Write this number under the next coefficient, 14.
Multiply the divisor, -3, by 5, which gives -15. Write this number under the next coefficient, -3.
Add the two numbers, -3 and -15, to get -18. Write this number under the next coefficient, 0.
Multiply the divisor, -3, by -18, which gives 54. Write this number under the next coefficient, 2.
Add the two numbers, 2 and 54, to get 56. This is the remainder, which we write above the divisor.
The result of the synthetic division is:
4x⁵+17x⁴+14x³-3x²+2 = (4x^4 + 5x³ - x²) (x + 3) + 56
Therefore, we have rewritten the fraction in the desired form:
4x⁵+17x⁴+14x³-3x²+2
---------------------- = 4x⁴ + 5x³ - x² + 56/(x+3)
x+3
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an expression that is equivelent to 12x-3x
Answer:
it would be 9x
Step-by-step explanation:
because subtract 3 from 12 and leave the x
3. How many different numbers can be created by selecting 4 of the digits from the number 8712395?
840 different numbers can be created selecting 4 of the digits from the number
How many different numbers can be created selecting 4 of the digits from the numberFrom the question, we have the following parameters that can be used in our computation:
Number = 8712395
Digits = 4
The count of digits in the number is 7
Using the above as a guide, we have the following:
First digit = any of the 7second digit = any of the remaining 6Third digit = any of the remaining 5Fourth digit = any of the remaining 4So, we have
Numbers = 7 * 6 * 5 * 4
Evaluate
Numbers = 840
Hence, 840 numbers can be formed
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Line n is perpendicular to the x-axis and passes through the point (–3,–7).
Write the equation for line n.
What is the slope of line n?
The equation for line n that is perpendicular to the x-axis and passes through the point (–3,–7) is x = -3, and its slope is undefined.
Since line n is perpendicular to the x-axis, it is parallel to the y-axis. Therefore, its slope is undefined since the y-axis is a vertical line with no defined slope.
To write the equation for line n, we know that the y-coordinate of every point on the line will be constant since the line is parallel to the y-axis. We also know that the line passes through the point (-3,-7), so we can write the equation as:
x = -3
This means that for any value of y, the x-coordinate will always be -3. Graphically, this represents a vertical line passing through the point (-3,-7) and parallel to the y-axis.
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ACTIVITY 1: Find f−1 in each of the following.
The [tex]f^{-1}[/tex] inverse of f of each
1) (x + 1)/2
2) [tex]\sqrt{\frac{x+1}{4} } \\[/tex]
3) 3 - 4x
4) [tex](x+5)^{1/3}[/tex]
5) [tex]\sqrt{x + 4}[/tex]
1) function f(x) = 3x + 1
let f(x) = y
y = 3x + 1
y - 1 = 3x
(y - 1)/3 = x
x obtained is [tex]f^{-1}[/tex]
and y will be x
[tex]f^{-1}[/tex] = (x-1)/3
2) equation f(x) = 4x² - 1
let f(x) = y
y = 4x² - 1
y + 1 = 4x²
(y + 1 )/4 = x²
x = [tex]\sqrt{\frac{x + 1}{4} }[/tex]
x obtained is [tex]f^{-1}[/tex]
and y will be x
[tex]f^{-1}[/tex] = [tex]\sqrt{\frac{x + 1}{4} }[/tex]
similarly,
3) f(x) = 3-x/4
y = 3-x/4
4y = 3 - x
x = 3 - 4x
[tex]f^{-1}[/tex] = 3- 4x
4) y = x³ - 5
y + 5 = x³
x = [tex](y + 5)^{1/3}[/tex]
[tex]f^{-1}[/tex] = [tex](x+5)^{1/3}[/tex]
5) y = x² - 4
y + 4 = x²
x = √y + 4
[tex]f^{-1} = \sqrt{x + 4}[/tex]
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please hurry thats all i ask
The value of A, B, C,D are 33, 36,25 and 16 respectively
What is word problem?A word problem is a math problem written out as a short story or scenario. We use this word problem to solve the unknowns.
The total number of students is 60 and 24 students prefer volley ball. therefore the number of students that prefer basketball = 60-24 = 36 students
Since 11 student are girls that prefer basketball, therefore the number of boys that prefers basketball = 36-11 = 25
C = 25
and B = 36
55% of the students are boys, therefore the number of boys = 55/100 × 60 = 33
A = 33
therefore the number of boys that prefer volley ball= 33-25 = 8
Number of girls = 60-33 = 27
therefore number of girls that prefer volley ball = 27-11 = 16
D= 16
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please help for this question
The single transformation that maps shape P onto shape Q is given as follows:
Reflection over the line y = 1.
What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Lateral or vertical movements.Reflections: A reflection is either over one of the axis on the graph or over a line.Rotations: A rotation is over a degree measure, either clockwise or counterclockwise.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.The orientation of the figure changed, hence it underwent a reflection.
The intercepts are given as follows:
y = 4 and y = -2.
The line of reflection is the mean of the coordinates of the intercepts, hence:
(4 - 2)/2 -> y = 1.
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Please help me with this
There is higher variability of y with large values of x.
There is a non linear relation between x and y.
How to explain the variabilityWe observe from figure b that for lower values of x the residuals are negative and as the values of x increases the residuals become positive but are distributed very close to the zero line.
Again for the extremely high values of x the residuals become negative following a decreasing non linear trend. Hence, from the residual plot we can conclude that the relation between x and y is a non linear one. Hence, the correct option is fourth option i.e, There is a non linear relation between x and y.
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Evaluate this limit without using L'Hopital's Rules
The limit [tex]\lim _{x\to \infty \:}\frac{1}{3^x}+3^{\frac{1}{x}}[/tex] without using L'Hopital's Rules has a value of 1
Evaluate this limit without using L'Hopital's RulesFrom the question, we have the following parameters that can be used in our computation:
[tex]\lim _{x\to \infty \:}\frac{1}{3^x}+3^{\frac{1}{x}}[/tex]
By substitution, we have
[tex]\lim _{x\to \infty \:}\frac{1}{3^x}+3^{\frac{1}{x}} = \frac{1}{3^{}\infty}+3^{\frac{1}{\infty}}[/tex]
So, we have
[tex]\lim _{x\to \infty \:}\frac{1}{3^x}+3^{\frac{1}{x}} = 0+3^0[/tex]
Evaluate the exponents
[tex]\lim _{x\to \infty \:}\frac{1}{3^x}+3^{\frac{1}{x}} = 0+1[/tex]
Evaluate the sum
[tex]\lim _{x\to \infty \:}\frac{1}{3^x}+3^{\frac{1}{x}} = 1[/tex]
Hence, the solution is 1
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Find the area and central angle of the polygons given the apothem or side length. Thank you.
The missing parameters of the regular polygons are listed below:
Case 1: θ = 45°, a = 10.864 cm
Case 2: θ = 72°, s = 5.812 cm
How to compute parameters of regular polygons
In this problem we must determine missing parameters of regular polygons, that is, polygons with sides of equal length. All parameters are summarized below:
Central angle
θ = 360 / n
Relationship between apothema and side length
a = s / [2 · tan (180 / n)]
Where:
n - Number of sidesa - Apothemas - Side lengthNow we proceed to find missing parameters:
Case 1: s = 9 cm, n = 8
θ = 360 / 8
θ = 45°
a = (9 cm) / [2 · tan (180 / 8)]
a = 10.864 cm
Case 2: a = 8 cm, n = 5
θ = 360 / 5
θ = 72°
s = 2 · a · tan (180 / n)
s = 2 · (8 cm) · tan (180 / 5)
s = 5.812 cm
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Find the perimeter of each figure
The perimeter of the composite figure is 46 metres.
How to find the perimeter of a figure?The perimeter of a figure is the sum of the whole sides of the 2 dimensional figure. Therefore, the perimeter of the composite figure is the sum of the whole sides.
Therefore, the perimeter of the figure can be found as follows:
perimeter of the shape = 5 + 6 + 9 + 11 + 3 + 12
perimeter of the shape = 11 + 9 + 11 + 15
perimeter of the shape =20 + 11 + 15
perimeter of the shape = 31 + 15
perimeter of the shape = 46 metres
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factor the expression
7x^2+12x+5
Hi again
I did it wrong
I'm here to redeem
When you have to factor these types of equations, you have to use a method called slide divide and bottoms up.
First you have to slide the a value to the end and mutiply with the c value so it is easily factorable
x^2+12x+35
Then you solve it like always
(x+7)(x+5)
Now, don't forget our buddy 7
7 is coming back
we divide 7 by 7 and 5 by 7
so
(x+1)(x+5/7)
7 has to move
So we move the 7 to the front
Therefore the answer is
(x+1)(7x+5)
If you have questions please ask me
Answer:
(7x + 5) (x + 1)
Step-by-step explanation:
7x² + 12x + 5
general form ax² + bx + c
a = 7
b = 12
c = 5
we have to find number that, if
... × ... = a . c = 7 . 5 = 35
... + ... = b = 12
and it would be
7 × 5 = a . c = 7 . 5 = 35
7 + 5 = b = 12
7x² + 7x + 5x + 5
= 7x (x + 1) + 5 (x + 1)
= (7x + 5) (x + 1)
#CMIIWGiven that a function, g, has a domain of -20 s × s 5 and a range of -5 s g(x) s 45 and that g(0) = -2 and g(-9) = 6, select the statement that could true for g.
A. g(-4)= -11
B. g(-13)= 20
C. g(0) = 2
D. g(7) = -1
The statement that could be true for the domain of g is g(-4) = -11.
option A.
Which statement is true for domain of g?
The function g has a domain of -20 s × s 5 and a range of -5 s g(x) s 45 and that g(0) = -2 and g(-9) = 6.
The given statements that could be true for g is calculated as follows;
Option A: g(-4) = -11
Since the range of g is -5 s g(x) s 45, it is possible for g(-4) to be -11.
Therefore, this could be true.
Option B: g(-13) = 20
Since the domain of g is -20 s × s 5, it is not possible for g(-13) to be defined. Therefore, option B is not true.
Option C: g(0) = 2
We are given that g(0) = -2, so option C is not true.
Option D: g(7) = -1
Since the domain of g is -20 s × s 5, it is not possible for g(7) to be defined. Therefore, option D is not true.
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Overview
Question Progress
1/3 Marks
11
12
13
14
Homework Progress
27/30 Marks
At a school there are five lessons in a day.
In total, the five lessons last for 4 hours.
a) Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?
Optional working
+ Answer:
b) In fact, the first lesson of the day is shorter than the other lessons.
The other lessons last the same amount of time.
What does this tell you about the length of the final lesson?
A It is shorter than the answer to part a)
B It is the same as the answer to part a)
C It is longer than the answer to part a)
minutes
Submit Answering
Time taken by final lesson is 48 minutes and time consumption will not be affected if first lesson takes less time to finish.
Given that;
The time to finish five lessons = 4 hours
Then one lesson takes = 4/5 hours to finish
(a) Since each lesson takes equal amount of time
Therefore,
The time taken by final lesson in minutes = (4/5)x60
= 48 minutes
(b) Since each lesson has own capacity of time so the time consumption for other lesson is not affected if first lesson takes less time.
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How many more sunflowers with a height of 27 1/2 inches or more were there than sunflowers with a heigh less than 27 1/2 inches?
The number of sun flowers with a height of 27¹/₂ inches or more are 4 more than those with a height of less than 27¹/₂ inches
How to Interpret Dot Plots?A dot plot, which is also known as a strip plot or dot chart, is a simple form of data visualization that comprises of data points plotted as dots on a graph with an x- and y-axis. These types of charts are used to graphically depict certain data trends or groupings.
The number of heights below 27¹/₂ inches that exists in the given dot plot is seen to be 8 in number.
Similarly, the number of dot plots that exists above or equel to 27¹/₂ inches from the given dot plot are 12 in number.
Therefore, we can say that:
Difference in total number for both parameters = 12 - 8= 4
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A 45-year-old man puts $2500 in a retirement account at the end of each quarter until he reaches the age of 66, then makes no further deposits. If the account pays 4% interest compounded quarterly, how much will be in the account when the man retires at age 71? There will be $ in the account.
Answer: The man will make deposits for 66 - 45 = 21 years, or 21 x 4 = 84 quarters.
The quarterly interest rate is 4% / 4 = 1%.
Let's use the formula for the future value of an annuity:
FV = PMT x ((1 + r)^n - 1) / r
where FV is the future value of the annuity, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, PMT = $2500, r = 1%, and n = 84. Substituting these values into the formula, we get:
FV = $2500 x ((1 + 0.01)^84 - 1) / 0.01
FV = $2500 x (5.409 - 1) / 0.01
FV = $2500 x 540.9
FV = $1,352,250
Therefore, there will be $1,352,250 in the account when the man retires at age 71.
The Problem Rodeos have long been a part of the culture in the southernmost part of the country and the growing popularity of the annual Easter event across South America prompted the Rupununi Development Corporation to construct a luxury resort with 60 two-bedroom suites for the visiting cultural troupes (troupe leaders and artistes). Capacity is ten troupe leaders and fifty artistes. Each suite is equipped with a small kitchenette, which contains a 7.3 cu ft. refrigerator, a microwave, and a coffee maker. A Drystan 6-piece bedroom set and the Ashley stationary sofa and love seat (all imported from Manaus at considerable cost) are also part of the furnishings. Each accommodation also has an excellent view if the Kanuku Mountains and nearby savannahs. The facility cost the Corporation $1,920,000 to build and equip and depreciation $160,000 per year (a fixed cost). Other operating costs include: Labor $320,000 per year plus $5 per suite per day Utilities $158,000 per year plus $1 per suite per day Miscellaneous $100,000 per year plus $6 per suite per day In addition to these costs, costs are also incurred on food and beverage for each guest. These costs are strictly variable, and (on average), are $40 per day for troupe leaders and $15 per day for artistes. Required Part A Assuming that the facility can maintain an average annual occupancy of 80% in both troupe leader and artistes suites (based on a 360 -day year), calculate the following: i. the annual fixed costs ii. the variable cost per guest by type of guest iii. the annual number of guest days by type of guest