Answer:
The total cost of sales department is [tex]a = \$ 84,000[/tex]
The total cost of services department is [tex]b = \$ 21,000[/tex]
Step-by-step explanation:
From the question we are told that
The direct for sales cost is [tex]SC = \$88,200[/tex]
The direct cost for service department is [tex] SV = \$29,400[/tex]
Given that the sales department charges 10% of its total monthly costs to the service department
The indirect cost of service department is 10% of a = 0.10 a
Here a is the total cost of sales
Given that the service department charges 20% of its total monthly costs to the sales department
The indirect cost of sales department is 20% of b = 0.20 b
Here b is the total cost for service department
Generally the direct cost of sales can be mathematically represented as
[tex]SC = a + 0.20b [/tex]
=> [tex]88200 = a + 0.20b[/tex]
=> [tex]a = 88200-0.20b[/tex]
Generally the direct cost of services can be mathematically represented as
[tex]SV = b + 0.10a [/tex]
=> [tex]29400 = b + 0.10a[/tex]
substituting for a in the above equation
=> [tex]29400 = b + 0.10 [88200-0.20b][/tex]
=> [tex]b = \$ 21,000[/tex]
substituting this value into the equation for a
[tex]a = 88200-0.20 (21000)[/tex]
=> [tex]a = \$ 84000[/tex]
Solve for y in the equation 6y + 8x = 24 A. Y = -5/6x - 2 B. Y = -x + 18 C. y = -4/3x + 4 D. Y= -2x +4
Answer:
y = -4/3x +4
Step-by-step explanation:
6y + 8x = 24
Subtract 8x from each side
6y + 8x-8x = -8x+24
6y = -8x+24
Divide each side by 6
6y/6 = -8x/6 +24/6
y = -4/3x +4
Solve for m
3/5m = -15
Answer:
- 25
Step-by-step explanation:
Step 1:
3/5m = - 15 Equation
Step 2:
m = - 15 ÷ 3/5 Divide
Step 3:
m = - 15/1 × 5/3 Multiply
Answer:
m = - 25
Hope This Helps :)
Answer:
m=-25
Step-by-step explanation:
To solve, make the variable "m" by itself. To do that, multiply the fraction "5/3" (or divide 3/5) to both sides.
3/5(5/3)m=-15(5/3)<--- 3/5 and 5/3 are reciprocals and cancel out. -15 times 5/3 equals -25.
m=-25
Which fraction is the divisor, 2/3 / 1/6?
Answer:
It depends on how the question is structured.
Answer:
1/6
Step-by-step explanation:
pls help!!! I will make you brainiest!!!!! What is the rate of change?
Answer:
?
Step-by-step explanation:
they are all multiplied by 6. I.e: 102/17 is 6
plz help plz plz plz
6 (x+5)
I hope this helps :))
Simple interest, I. in dollars is calculated using the formula 1 = prt. Here, p represents the principal, or amount, in dollars that is invested or borrowed; r represents the annual interest rate, expressed as a percent, and t represents time, in years. Find the value of the remaining variable in the simple interest formula. (Hint: Write percents as decimals.)
p = $200, r = 7%, t = 3 years
Ayudenme a resovlerlo
What kind of angle is this?
Answer:
this is a straight line aka 180
Step-by-step explanation:
it is over 180 and it becomes flat
Answer
straight angle
Step-by-step explanation:
a random sample of 21 students from the U and at A&T were surveyed about their music listening habits. Their responses (in hours, each square represents 0.5 hour) were recorded and displayed using the following histograms. The left represents U. The right represents SHSAT. Which data set(U or SHSAT students) has a larger standard deviation? Explain.
Answer: U
Step-by-step explanation:
Looking at the graphs, U is skewed right and SHSAT is more of a normal distribution. Generally, this means the standard deviation would be greater for the data set that is skewed.
Let's find the standard deviation for each data set to confirm our theory.
Step 1) Find the mean number of hours
Step 2) Subtract each data value from the mean
Step 3) Find the mean of Step 2
U
hours x frequency: 1(3) + 2(5) + 3(4) + 4(3) + 5(3) + 6(2) + 9(1) = 72
Step 1: mean = (hours x frequency)/frequency = 72/21 = 3.4
Step 2: 2.4(3) + 1.4(5) + 0.4(4) + 0.6(3) + 1.6(3) + 2.6(2) + 5.6(1) = 33.2
Step 3: standard deviation = (sum from step 2)/ frequency = 33.2/21 = 1.58
SHSAT
hours x frequency: 1(1) + 2(3) + 3(4) + 4(5) + 5(3) + 6(3) + 7(2) = 86
Step 1: mean = (hours x frequency)/frequency = 86/21 = 4.1
Step 2: 3.1(1) + 2.1(3) + 1.1(4) + 0.1(5) +0.95(3) + 1.9(3) + 2.9(2) = 28.5
Step 3: standard deviation = (sum from step 2)/ frequency = 28.5/21 = 1.36
The calculations confirm that U has the greater standard deviation
10. Which is a subset of whole numbers?
A rational
B. irrational
Creal
D. natural
Answer:
The answer is D. Natural
Step-by-step explanation:
A subset, mathematically, means a category within another set. This can be shown from the picture below.
As you can see, the subset of whole numbers is, in fact, natural numbers.
2 ways to show 2,059 written in expanded form?
Answer:
Step-by-step explanation: 2,000 blocks o hundreds 50 tens 9 ones
2,000+0+50+9
Answer:
Hi I'm Euijin :D
Welcome to Brainly
The Answer is
2059.0 and (2000,50,9)---------------------------
A stadium has 45,000 seats. Seats sell for $30 in Section A, $24 in Section B, and $18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,168,200 from each sold-out event. How many seats does each section hold?
Answer:
About 90 seats per section.
hope this helps!
Help please?
Which graph shows y=3⌊x⌋−4?
Top Left A.
Top Right B.
Down Left C.
Down Right D.
Answer:
a
start at the (0,-4) and go up 3 and over one. answer "A" fits this criteria
Find the value of each variable
Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was discovered, the famous detective Hercule Poirot noted that Ratchett had a body temperature of 28 degrees. The body had cooled to a temperature of 27 degrees one hour later. If the normal temperature of a human being is 37 degrees and the air temperature in the train is 22 degrees.
Required:
Estimate the time of Ratchett's death using Newton's Law of Cooling.
Answer: Mr. Ratchett died approximately at 2AM.
Step-by-step explanation: Newton's Law of Cooling shows the cooling rate between a body and the environment, by stating that the rate is proportional to the difference in temperatures between them.
Mathematically, it is represented as:
[tex]\frac{dQ}{dt}=\alpha.A.(T_{s}-T)[/tex]
This differential equation solved, gives the solution:
[tex]T(t)=T_{s}+(T_{0}-T_{s})e^{-kt}[/tex]
where
[tex]T_{s}[/tex] is temperature of the environment
[tex]T_{0}[/tex] is the initial temperature of the body
k is a parameter dependent of heat transfer coefficient, heat capacity and area of the body
t is time required to change the temperature
For the murder on the Orient Express, first determine parameter k.
In 1 hour, Mr. Ratchett's body decrease 1°:
[tex]27=22+(28-22)e^{-1k}[/tex]
[tex]5=6e^{-k}[/tex]
[tex]e^{-k}=\frac{5}{6}[/tex]
[tex]ln(e^{-k})=ln(0.834)[/tex]
k = 0.1823
Using the parameter, find estimate time:
[tex]28=22+(37-22)e^{-0.1823t}[/tex]
[tex]6=15e^{-0.1823t}[/tex]
[tex]ln(e^{-0.1823t})=ln(0.4)[/tex]
0.1823t = 0.9163
[tex]t=\frac{0.9163}{0.1823}[/tex]
t ≈ 5 hours
The body was found at 7AM. So, it took approximately 5 hours to cool down to 28° at that time. Therefore, Mr. Ratchett died at 2AM.
Two thirds a number x plus 6 is 9
Answer:
please mark brainliest!
Step-by-step explanation:
[tex]\frac{2}{3}x + 6 = 9[/tex]
2/3 of x is (2/3x)
6 added to that makes it (2/3 +6).
Saying this is 9 means it is equal to 9.
2/3x +6 = 9
Answer:
2/3x+6=9
Step-by-step explanation:
write the prime factorization of each number using exponents 88
Answer:2 x 2 x 2 x 11 = 88. It can also be written in exponential form as 23 x 111.
Step-by-step explanation:
A ship left shore and sailed 240 kilometers east, turned due north, then sailed another 70 kilometers. How many kilometers is the ship from shore by the most direct path?
Your Answer will be:
The ship from the shore is 250 Km away by most direct path.
What is Pythagoras theorem?The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
Base= 240
Perpendicular= 70
so, distance between ship from shore by the most direct path
= √70² + 240²
=√ 4900+ 57600
= √62500
= 250
Hence, The ship from the shore is 250 Km away by most direct path.
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
Help with Geometry homework please.?
Answer:
a. 60° it is opposite the other 60° angle
b. 120° it is supplementary with the 60° angle
c. 120° it is supplementary with the 60° angle
NEED THESE ANSWERS FAST
Answer:
1) m=2/9; y-intercept= 17/3
2) m=7 ; y-intercept= 22
3) m= -2/11 ; y-intercept= 100/11
4) m= 13/19 ; y-intercept= -53/13
Step by Step Explanation:
Use the slope formula to find the slope m.
please help me i am timed
Answer:
B. Z, K, R
Step-by-step explanation:
Z, K, R are in a line so i think it's them im actually not sure but im pretty sure it is
Nautical flags are used to communicate on ships. Kimani uses the scale drawing at the right to sew a nautical z flag. The scale from her flag to the drawing is 20:1. Each color is one quarter of the flag. How many square inches of each color of fabric does Kimani need?
Answer:
30
Step-by-step explanation:
1.5 x 20 is 30
If you answer this I’ll give u brainleiest what is 2+2?????
Answer:
4
Step-by-step explanation:
2+2 is
7
2) Classify the following number as rational or irrational. *
7.13
Answer:
the first one is 713/100
the second one is a reapeating decimal
Step-by-step explanation:
235 x 26 = estimate the answer
Answer:
6110
Step-by-step explanation:
-6-(-6)-
What is the value
Answer:
0
Step-by-step explanation:
−6−(−6)
=−6−(−6)
=−6+6
=0
Answer:
-12 is the answer
Step-by-step explanation:
What is the slope of the line that passes through the points (3,-2) and (9,-2)?
Answer:
0
Step-by-step explanation:
slope= (y2-y1)/(x2-x1)
= [-2-(-2)]/[9-3]
=[-2+2]/6
=0/6
=0
Hope it helps:)
please help me! :(((
Answer:
your answer is c
Step-by-step explanation:
what grade is this
show your work : 17-8n=-2(4n-7)-3
Answer:
i think so
Step-by-step explanation:
17‒8n=‒2(4n‒7)‒3
17‒8n=‒8n+14‒3(add ‒17 on both sides)
‒8n=‒8n+14‒3‒17
‒8n=‒8n‒6
‒8n+8n=‒6
0=‒6
so the equation doesn't have solution
(Geometry: area of a regular polygon)
A regular polygon is an n-sided polygon in which all sides are of the same length and all angles have the same degree (i.e., the polygon is both equilateral and equiangular). The formula for computing the area of a regular polygon is
area = (n * s^2) / (4 * tan(PI / n)
Here, s is the length of a side. Write a program that prompts the user to enter the number of sides and their length of a regular polygon and displays its area.
Sample Run
Enter the number of sides: 5
Enter the side: 6.5
The area of the polygon is 72.69017017488385
ANSWER SHOULD BE IN PYTHON CODING
Answer:
Follows are the python code to this question:
import math as m #import package
n=int(input('Enter the number of sides:'))#defining n variable for input number of side
s= float(input('Enter the side: '))#defining s variable for input side value
area = (s*s *n)/(4 * (m.tan(m.pi/n)))#defining formula for calcaulting area
print (area)#print area
Output:
please find the attached file.
Step-by-step explanation:
In the above code, firstly, we import the math package as m, and after that, two-variable "n and s" is defined, which uses for input integer and float value from the user end.
In the next step, we use the area formula that is already in the question.In this formula, we modify some value and put the user input into the area formula, and print its value.