The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is 0.15866 , the minimum number for the upper quarter of the time to pass a kidney stone days is 14.4 .
What is Probability ?Probability is the measure of likeliness of an event to happen
Let X denote the time to pass the kidney stone.
The random variable X follows normal Distribution
mean = 12 days days
standard deviation = 4 days
The distribution of X is X - N ( 12 , 4)
The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is
P ( X > 16) = 1 - P( X ≤ 16)
= 1 - P( Z ≤ (16-12)/4)
= 1 - P ( Z ≤ 1 )
= 1 - 0.84134
= 0.15866
P( X < x₀) = 0.75
[tex]\rm P ( \dfrac{x - \mu }{\sigma} < \dfrac{x_0 -13}{6}) = 0.75[/tex]
[tex]\rm \phi (\dfrac { x_o - 12}{4}) = 0.75[/tex]
Using the excel function the z score for the area 0.75 is
z - score = 0.6745
[tex]\rm \dfrac {x_o - 12}{4} = 0.6745[/tex]
x₀ = 0.6 * 4 + 12
x₀ = 14.4
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PLEASE HELP what does -4=<X<4 mean?
Suppose that the function fis defined for all real numbers as follows. Graph the function f. Then determine whether or not the function is continuous.
Answer:
the value of x is between -4 and 4
The measure of an interior angle of a regular polygon is 120°. What is the measure of each exterior angle? The polygon has how many sides?
Answer:
60°, arms 6
Step-by-step explanation:
let the total arms = n
total generated angles in a regular polygon is = (n-2)×180
now,
(n-2)×180 = 120 n
or, 180n - 360 =120n
or, 60n = 360
or, n = 6
An unusually wet spring has caused the size of a mosquito population in some city to increase by 7% each day. If an estimated 180,000 mosquitoes are in the city on May 9, find how many mosquitoes will inhabit the city on May 19. Use y=180,000(1.07)x where x is number of days since May 9. Question content area bottom Part 1 On May 19 there will be approximately enter your response here mosquitoes. (Round to the nearest thousand as needed.)
There will be 354087.24 mosquitoes on the 19th of May.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
.
Using the relation :
y = 180000(1.07)^x
x = Number of days since May 6 ;
y = Number of mosquitoes after x days
x = May 9 May 19 = 10 days
Therefore, a number of mosquitoes inhabiting the city on May 19 will be :
y = 180000(1.07)^10
y = 180000 x 1.96715136
y = 354087.24
y = 354087.24 (nearest whole number).
Therefore there will be 354087.24 mosquitoes on the 19th of May.
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Dr. Hick writes an order for Amoxicillian 300 mg by mouth daily. Pharmacy dispenses 200 mg/2 mL. How many mL per dose?
a. 4
b. 3
c. 2
d. 1
Answer:
b
Step-by-step explanation:
2 ml/200 mg so divide and you get 1 ml per 100 mg then multiply that my 3 to get 3ml/300 mg therefore the answer is b
Answer:
b. 3 ml
Step-by-step explanation:
300 mg / 200 mg/ 2 ml = 300 * 2 / 200 ml = 3 ml
Need help with this geometry question
2) [tex]\overline{EK} \cong \overline{KG}, \overline{HK} \cong \overline{KF}[/tex]
3) Opposite sides of a parallelogram are congruent.
4) [tex]\triangle EF \text{ }K \cong \triangle GHK[/tex]
In the following answer, why does 830 convert to 83000?
Answer:
Money borrowed from insurance company = $1000
Step-by-step explanation:
Let the money borrowed by her friend at 8% interest = x
Then the money borrowed by bank at 9% interest = 2x
Total money borrowed = $10,000
So, the money borrowed from insurance company = 10,000-(2x+x)
= 10,000-3x
Total interest for the first year = $830
We have the equation,
8%(x) + 9%(2x) +5% (10,000-3x) = 830
8x+18x+50,000-15x = 83,000
11x = 83000-50000
11x = 33,000
x = $3000
Then the money borrowed insurance company = 10,000-3x
= $1,000
Then the money borrowed insurance company is $1,000.
Money borrowed from insurance company = $1000
Let the money borrowed by her friend at 8% interest = x
Then the money borrowed by the bank at 9% interest = 2x
What is the total money?Total money borrowed = $10,000
So, the money borrowed from the insurance company = 10,000-(2x+x)
= 10,000-3x
Total interest for the first year = $830
We have the equation,
8%(x) + 9%(2x) +5% (10,000-3x) = 830
8x+18x+50,000-15x = 83,000
11x = 83000-50000
11x = 33,000
x = $3000
Then the money borrowed insurance company = 10,000-3x
Then the money borrowed insurance company is $1,000.
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CON PROCESOS POR FAVOR
Answer:
[tex] \dfrac{149}{40} [/tex]
[tex] \dfrac{38}{15} [/tex]
Step-by-step explanation:
[tex] (\dfrac{7}{8} + \dfrac{4}{5}) - (\dfrac{9}{20} + \dfrac{-5}{2}) = [/tex]
[tex] = (\dfrac{7}{8} \times \dfrac{5}{5} + \dfrac{4}{5} \times \dfrac{8}{8}) - (\dfrac{9}{20} + \dfrac{-5}{2} \times \dfrac{10}{10}) [/tex]
[tex] = (\dfrac{35}{40} + \dfrac{32}{40}) - (\dfrac{9}{20} + \dfrac{-50}{20}) [/tex]
[tex] = \dfrac{67}{40} - (-\dfrac{41}{20}) [/tex]
[tex] = \dfrac{67}{40} + \dfrac{41}{20} \times \dfrac{2}{2} [/tex]
[tex] = \dfrac{67}{40} + \dfrac{82}{40} [/tex]
[tex] = \dfrac{149}{40} [/tex]
[tex] (-\dfrac{6}{4} + \dfrac{3}{2}) + (\dfrac{6}{5} + \dfrac{4}{3}) = [/tex]
[tex] = (-\dfrac{3}{2} + \dfrac{3}{2})+ (\dfrac{6}{5} \times \dfrac{3}{3} + \dfrac{4}{3} \times \dfrac{5}{5}) [/tex]
[tex] = 0 + \dfrac{18}{15} + \dfrac{20}{15} [/tex]
[tex] = \dfrac{38}{15} [/tex]
find the highest number of student of whom 125 apples, 150 oranges and 225 mangoes can be divided equally
Answer:
25
Step-by-step explanation:
find the greatest common factor (GCF) of the 3 quantities using prime factorisation.
125 = 5 × 5 × 5
150 = 2 × 3 × 5 × 5
225 = 3 × 3 × 5 × 5
Next, identify those prime factors that the 3 numbers have in common and multiply them.
the common factors are 5 × 5 = 25
then
125 ÷ 25 = 5
150 ÷ 25 = 6
225 ÷ 25 = 9
the 25 students each get 5 apples, 6 oranges and 9 mangoes
multiplicity of F(x)= 4x^3+19x^2-41x+9
The multiplicity of the function is 1 for each term after factorization.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial function:
[tex]\rm F(x)= 4x^3+19x^2-41x+9[/tex]
After factorization:
[tex]\rm F(x) = \left(4x-1\right)\left(x^2+5x-9\right)=0[/tex]
[tex]\rm F(x) =(4x-1)^1(\:x-\frac{-5+\sqrt{61}}{2})^1(\:x+\frac{-5-\sqrt{61}}{2})^1[/tex]
The multiplicity of the function is 1 for each term.
Thus, the multiplicity of the function is 1 for each term after factorization.
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Question 18 25
f(x) = 2x
g(x) = 4x + 1
Find
() (2). Include any restrictions on the domain.
A.
(4) (x) = 477³¹, x ≥ 0
○ B. ( 4 ) (x) = ¹⁄⁄², ¤ / 0
4c-1
x
O c. (1) (₂) -
O D. (5)(x) =
✓/2T
55-1
2,² / 1
2 / -4
Answer: D
Step-by-step explanation:
[tex]\left(\frac{f(x)}{g(x)} \right)=\frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{4x+1}[/tex].
This eliminates A and B.
Also, the domain excludes when the denominator equals 0, which in this case, makes the answer D
Use the sequence 1, 5, 9, 11, 13, ...
Find the 150th term of the sequence.
Answer: 597
Step-by-step explanation:
The common difference is 5-1=4, so the explicit formula is [tex]a_{n}=1+(n-1)(4)[/tex]
Substituting in n=150,
[tex]a_{150}=1+(150-1)(4)=\boxed{597}[/tex]
Can someone help me with this?
Answer:
A
Step-by-step explanation:
In this case you have to show that 1 + 2 = 180
This way when you show that 2 + 3 = 180, that proves 1 & 3 are congruent.
Answer:
A. 2. ∡1 is supplementary to ∡2 (linear pair theorem)
Step-by-step explanation:
Given the following proof so far, we have:
1. Line a and line b intersect => given
2. ? => ?
3. ∡3 is supplementary to ∡2 => linear pair theorem
4. ∡1 ≅ ∡3 => congruent supplements theorem
Now let's take a look at the reasoning for statement 4, which says that angle 1 and 3 are congruent due to congruent supplements theorem.
In this theorem, if 2 angles are supplementary (add up to 180 degrees) to the same angle, it means those 2 angles are congruent.
Why does this work?
________________________________________________________
Let's say x + y = 180, and z + y = 180
By transitivity (if a = b and b =c, then a=c), x + y is equal to z + y
x + y = z + y
Subtract y from both sides
x = z
________________________________________________________
Statement 3 says ∡3 is supplementary to ∡2, and because of congruent supplements theorem being our last reason (where ∡1 and ∡3 are congruent), we need to make statement 2 also have ∡1 being supplementary to ∡2, (∡2 is like y in the example above - it's the angle that ∡1 and ∡3 are both supplementary to).
This will eliminate choices B (which has ∡1, but also ∡4 which isn't necessary), C ( ∡which mentions nothing about ∡1), and D (which also doesn't mention anything about ∡1, and which also isn't necessary as we have statement 3 essentially saying the same thing), leaving A as the correct answer.
Finding the inverse of the function x^3+3x+1 is beyond the scope of this course. Nevertheless, you should be able to use your knowledge of functions and their inverses as well as your graphing calculator to find the following values of the inverse function.
a. f^-1(1)
b. f^-1(5)
c. f^-1(3)
Step-by-step explanation:
[tex] {x}^{3} + 3x + 1 = 1 = = = > \\ {x}^{3} + 3x = 0 = = = > \\ x({x}^{2} + 3) = 0 \\ x = 0 \: or \\ {x}^{2} + 3 = 0 = = = > \\ {x}^{2} = - 3 = = = > x 1= \sqrt{ - 3} \: or \: i \sqrt{3} \\ x2 = - \sqrt{ - 3} = = = > x2 = - i \sqrt{3} [/tex]
[tex] {x}^{3} + 3x + 1 = 5 = = = > \\ {x}^{3} + 3x - 4 = = = > \\ (x - 1)( {x}^{2} + x + 4) = 0 = = = > \\ x - 1 = 0 = = > x1 = 1 \\ {x}^{2} + x + 4 = 0 = = = > \\ x2 = - 1 + i \sqrt{3} \\ x3 = - 1 - i \sqrt{3} [/tex]
[tex] {x}^{3} + 3x + 1 = 3 = = = > \\{ x}^{3} + 3x - 2 = 0 = = = > x = 0.6[/tex]
The values of the inverse of the function, f(x) = x³ + 3·x + 1, obtained from graphing of the function are;
a. f⁻¹(1) = 0
b. f⁻¹(5) = 1
c. f⁻¹(3) ≈ 0.59607
What is an inverse function?An inverse function is a function that reverses the action of another function, such that the inverse function maps the output of the function to the corresponding input.
The inverse of the function can be found by graphing the function, f(x) = x³ + 3·x + 1, using technology and then using inverse or table function to find the values of the inverse functions at the specified points
a. The value of the inverse function, f⁻¹(1), is the x-value, on the graph that corresponds to the point with a y-coordinate of 1.
The graph of the function indicates that at a y-value of 1, x = 0, therefore;
f⁻¹(1) = 0
b. Similarly, the graph indicates that a y-value of 5, x = 1, therefore;
f⁻¹(5) = 1
c. When the y-value = 3, we get;
x³ + 3·x + 1 = 3
x³ + 3·x - 2 = 0
Solving the above equation with an online tool, we get; x ≈ 0.59607
Therefore; f⁻¹(3) ≈ 0.59607
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URGENT: Click on the graph to choose the correct answer to the equation. x > 2
The graph of the inequality, x > 2 is the graph attached below.
How to Find the Graph of Inequality?Given the inequality as, x > 2, it means all possible values of x must be greater than 2.
Thus, the graph that will show all possible values of x that would be greater than 2 would be a vertical line indicating the values are over 2 and upwards.
Therefore, the graph that represents x > 2 is shown in the image attached below.
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Select the correct answer.
A system of equations and its solution are given below.
System A
x + y = 8
4x - 6y = 2
Solution: (5,3)
Choose the correct option that explains what steps were followed to obtain the system of equations below.
System B
x + y = 8
10x = 50
Answer:
B will be the answer...
Step-by-step explanation:
The second equation in system B is only in terms of y, so we need to use elimination to eliminate the x term from the second equation in system A.
To do that, we need to multiply the first equation by 5.
5 (-x − 2y = 7)
-5x − 10y = 35
Add to the second equation. Notice the x terms cancel out.
(-5x − 10y) + (5x − 6y) = 35 + (-3)
-16y = 32
Combining this new equation with the first equation from system A will get us system B.
-x − 2y = 7
-16y = 32
Answer:
To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution to system A.
Step-by-step explanation:
exact answer
Given that y is an integer, find all values of y such that y< 6
Answer:
Values: 3,4,5
Step-by-step explanation:
I hope this helps:)
what is the value of x
let's name the vertices of the triangle as A B C and D as the image shown above
In triangle ABC
sin 60° = AB/AC
√3/2 = 8√2/ AC
AC = 16√2/√3
In triangle ACD
sin 45° = AC/AD
1/√2 = 16√2/ 3 AD
AD = 16/3 x = 16/3if the relationships below are given in the form(input, output) which paring always describes a function
The function among the given option is height of a building in feet, height of the building in inches , Option B is the correct answer.
What is a Function ?
A function is a law that relates a dependent and an independent variable.
The options mentioned below needs to be studied to determine which forms a function.
Option A , C and D doesn't really form a function ,
For two variables need to be a function then they have to be dependant on each other and have only one output for a given input.
height of a building in feet, height of the building in inches
Height of building in feet = (height of building in inches/12)
so this is a function
Therefore Option B is the right answer.
The missing options are
If the relationships below are given in the form (input, output), which pairing always describes a function?
A) (number of doors in a car, number of cup holders in the car)
B) (height of a building in feet, height of the building in inches)
C) (beverage charge on a bill, total meal charge on the bill)
D) (distance from home during a trip, time elapsed during the trip)
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The radius of a circle is 4 millimeters. What is the circle's area? Use 3.14 for pi.
(The answer MUST BE ONE OF THE ANSWERS BELOW)
Answer:
50.24 mm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = 3.14 ( 4)^2
= 50.24 mm^2
Answer:
c. 50.24 square millimeters
Step-by-step explanation:
Radius of circle = 4 milimeters.
Area of a circle = πr²
Area = 3.14 × 4² (π = 3.14)
= 50.24 square millimeters
ABCD is a parallelogram. Find the measure of angle C.
A
B
C (3x+6)
D (2x+9)
Find out the measure for angle C
Answer:
C = 105°
Step-by-step explanation:
added in the picture
John invested $4,500 at 5.5% annual simple interest. His maturity value of his investment was $5,545. How long did John invest the money? Round to the hundredth.
John invested the money at simple interest for 4.22 years.
We have,
Invested amount = $ 4500
Rate of interest = 5.5 %
Time = t years
Maturity value = $ 5545
So,
Total interest earned = $ 5545 - $ 4500 = $ 1045
And,
Simple interest = (Principal × Rate × Time ) / 100
So, Using the mentioned formula,
1045 = ( 4500 × 5.5 × t ) /100
1045 = 45 × 5.5 × t
⇒
t = (1045) / (45 × 5.5)
⇒ t = 4.22 years
Therefore, John invested the money at simple interest for 4.22 years.
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Maria rides her bicycle to school at a constant speed of 15 miles per hour.If the distance to school is 6 miles,how many minutes will it take Maria to get to school?EXPLAIN PLEASE
E. 10
F.15
G.24
H.30
Answer:
24 minutes
Explanation:
Given:
speed: 15 miles/hdistance: 6 milesFormula:
time taken = distance/speed
Applying the formula:
time taken = 6/15 = 0.4 hours = 24 minutes
Now
Speed=Distance/TimeTime=Distance/SpeedTime =6/15=0.4h=24min(LOOK AT PHOTO) What is the quotient of the rational expression below?
x²-49 x²-14x+49
x+2
3x+6
The quotient [tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex] is [tex]\frac{3(x +7)}{(x -7)}[/tex]
How to determine the quotient?The expression is given as:
[tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex]
Express x^2 - 49 as difference of two squares
[tex]\frac{(x + 7)(x- 7)}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex]
Factorize other expressions
[tex]\frac{(x + 7)(x- 7)}{x + 2} \div \frac{(x -7)(x-7)}{3(x + 2)}[/tex]
Express as product
[tex]\frac{(x + 7)(x- 7)}{x + 2} \times\frac{3(x + 2)}{(x -7)(x-7)}[/tex]
Cancel the common factors
[tex]\frac{(x + 7)}{1} \times\frac{3}{(x -7)}[/tex]
Evaluate the product
[tex]\frac{3(x +7)}{(x -7)}[/tex]
Hence, the quotient [tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex] is [tex]\frac{3(x +7)}{(x -7)}[/tex]
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Given positive integers $x$ and $y$ such that $2x^2y^3 + 4y^3 = 149 + 3x^2$, what is the value of $x + y$?
Answer:
5
Step-by-step explanation:
2x²y³ + 4y³ = 149 + 3x²
[tex] 2x^2y^3 - 3x^2 = 149 - 4y^3 [/tex]
[tex] x^2(2y^3 - 3) = 149 - 4y^3 [/tex]
[tex] x^2 = \dfrac{149 - 4y^3}{2y^3 - 3} [/tex]
[tex] x = \pm \sqrt{\dfrac{149 - 4y^3}{2y^3 - 3}} [/tex]
Try y = 1
[tex]x = \pm \sqrt{\dfrac{149 - 4(1)}{2(1)^3 - 3}} = \pm \sqrt{-145} = i\sqrt{145}[/tex]
For y = 1, x is imaginary.
Try y = 2
[tex] x = \pm \sqrt{\dfrac{149 - 4(2)^3}{2(2)^3 - 3}} = \pm \sqrt{9} = \pm 3[/tex]
Since x and y are positive integers, ignore x = -3.
When x = 3, y = 2.
x + y = 3 + 2 = 5
The value of x + y is 5.
What is Polynomial?Polynomials are expressions which consist of variables, constants, coefficients and exponents.
We have the equation,
2x²y³ + 4y³ = 149 + 3x²
2x²y³ - 3x² = 149 - 4y³
x² (2y³ - 3) = 149 - 4y³
x² = (149 - 4y³) / (2y³ - 3)
x = √[(149 - 4y³) / (2y³ - 3)]
Now, we have to find two positive integers.
We can use trial and error method here.
Trial putting y = 1.
x = √[(149 - 4 × 1³) / (2 × 1³ - 3)]
= √[145 / (-1)]
= √(-145)
There is no real root for √(-145). So y = 1 is not applicable.
Trial putting y = 2.
x = √[(149 - 4 × 2³) / (2 × 2³ - 3)]
= √[117 / 13]
= √(9)
= ± 3
But we need positive integers. So we ignore -3.
So x = 3 and y = 2 ⇒ x + y = 5
Hence x + y = 5.
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DRaw the graph of f (x) = 1/2 x² -2x where -2 < x < 4
Answer:
Graphs Attached Below
Step-by-step explanation:
Hello!
Standard form of a quadratic: [tex]ax^2 + bx + c= 0[/tex]
From our Equation:
a = 1/2b = -2c = 0There are several values that are needed to drawing a parabola:
y - interceptAxis of Symmetry (AOS)Vertexx - interceptsY-interceptStandard form of a quadratic: [tex]ax^2 + bx + c= 0[/tex]
The y-intercept is the "c" value. Given that our equation has a "c" value of 0, the y -intercept is 0.
Axis of SymmetryA parabola is always symmetrical vertically. The line in which the fold happens is the Axis of Symmetry.
To calculate the AOS, we use the formula [tex]AOS = \frac{-b}{2a}[/tex], from the values of the equation.
Calculate
[tex]AOS = \frac{-b}{2a}[/tex][tex]AOS = \frac{-(-2)}{2(0.5)}[/tex][tex]AOS = \frac{2}{1}[/tex][tex]AOS = 2[/tex]The Axis of Symmetry is a vertical line, so the AOS is the line x = 2.
VertexThe vertex is the highest or lowest point on the graph of a parabola. It resides on the AOS of the graph.
To calculate the vertex, we simply have to find the y-value, given that we have the x-value from the AOS. We can find the y-value by plugging in the AOS for x in the original equation.
Calculate
[tex]f(x) = \frac12x^2 - 2x[/tex][tex]f(x) = \frac12 (2)^2 - 2(2)[/tex][tex]f(x) = 2 - 4[/tex][tex]f(x) = -2[/tex]The y-value is -2. The vertex is (2, -2).
X-interceptsThe x-intercepts are the points where the graph intersects the x-axis (y = 0).
Solve by Factoring
[tex]f(x) = \frac12 x^2 - 2x[/tex][tex]0 = \frac12x(x - 4)[/tex][tex]x = 0, x = 4[/tex]The roots are (0,0) and (4,0).
GraphNow we just draw the y-intercept, vertex, AOS, and the x-intercepts, and draw a curved line between them.
Image Attached
Domain RestrictionsThe Domain (x-values) are being restricted to all x-values that are greater than or equal to -2 and less than 4.
That means we remove the parts of the line that don't belong in that domain.
Image Attached
An angle measures 37*. What is the measure of its supplement?
Answer:
143°
Step-by-step explanation:
supplementary angles are angles that combine to form a straight line (and we know that a straight line = 180 degrees)
you can think of an angle as needing another angle to "supplement" it into being a full line.
So, we know that one angle = 37°
And that: one angle + supplementary angle = 180 degrees
37° + x = 180°
- 37 -37
x = 143
So, the measure of this angle's supplement is 143°
hope this helps!!
Answer:
143 degrees
Step-by-step explanation:
180 - 37 = 143
How much time do you actually save by speeding?
A linear function contains the following points. What are the slope and y-intercept of this function?
Answer:
slope: -1
y-intercept: 6
Step-by-step explanation:
y-intercept is when x is 0 so it's 8 and the slope can be found using the slope formula (y2-y1)/(x2-x1)
(6-8)/(0 - (-2)) = -2/2 = -1
consider the graph of y= f(x), shown below
Answer: The domain is [tex]\boxed{(-4, 4)}[/tex] and the range is [tex]\boxed{[-4, 4]}[/tex].
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
A firm operated at 80% of capacity for the past year, during which fixed costs were $197,000, variable costs were 70% of sales, and sales were $900,000. Operating profit was
a.$73,000
b.$630,000
c.$58,400
d.$270,000
The correct answer is option A which is the operating profit will be $73000.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
A firm operated at 80% of capacity for the past year, during which fixed costs were $197,000, variable costs were 70% of sales, and sales were $900,000.We will consider the following notations and will make the expression for operating profit.
P = profit
S = sales = $900000
F = Fixed cost = $197000
V = 07S = variable cost
So the expression will be given as:-
P = S - F - V
P = S - F - 0.7S
P = 9000000 - 1797000 - ( 0.7 x 9000000)
P = 703000 - 630000
P = $73000
Therefore the correct answer is option A which is the operating profit will be $73000.
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