The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced during that period and then add the fixed costs.
a. Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced in a month. Be sure to state the units you use.
b. Express using functional notation the total cost if there are 250 widgets produced in a month, and then calculate that value.
Answer:
(a) C = 9000 + 15N
(b) Cost of 250 widgets is $12750
Step-by-step explanation:
The question has missing details. See attachment for complete question
Solving (a): An expression for total cost.
The expression is generated using:
[tex]Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items[/tex]
From the given parameters:
[tex]Fixed\ Cost = 9000[/tex]
[tex]Variable\ Cost = 15[/tex]
[tex]Number\ of\ Items = N[/tex]
So, the expression becomes:
[tex]C = 9000 + 15 * N[/tex]
[tex]C = 9000 + 15 N[/tex]
Solving (b): Cost of 250 widgets
In this case:
[tex]N =250[/tex]
Substitute 250 for N in [tex]C = 9000 + 15 N[/tex]
[tex]C = 9000 + 15 * 250[/tex]
[tex]C = 9000 + 3750[/tex]
[tex]C = 12750[/tex]
Someone answer right por favor
Answer:
64
Step-by-step explanation:
Answer: 64. 16^6 = 16,777,216 and 32^6 is 1,073,741,824. 1,073,741,824 divided by 16,777,216 is 64
A 5-gallon bucket is full of pure water. Suppose we begin dumping salt into the bucket at a rate of 1/4 pounds per minute. Also, we open the spigot so that 1/2 gallons per minute leaves the bucket, and we add pure water to keep the bucket full. If the salt water solution is always well mixed, what is the amount of salt in the bucket after:
a. 1 minute?
b. 10 minutes?
c. 60 minutes?
d. 1000 minutes?
e. a very very long time?
Answer and explanation:
1. In one minute, there would be zero pounds of salt in the bucket because there's 0.25 pounds of salt in one minute and 0.5 gallons of water leaves the bucket in same minute, eliminating the 0.25 pounds of salt.
2. In ten minutes there would be zero pounds of salt because theres 0.25×10= 2.5 pounds of salt and 0.5×10=5 gallons of water would leave the bucket, eliminating the salt.
3. In 60 minutes there would still be zero salt because water leaves the bucket more than salt enters
4. Zero salt too after bucket leaks
5. Zero salt
Find the total surface area of this cone, leaving your answer in terms of pi
Answer:
Surface area = 70π cm²
Step-by-step explanation:
Surface area = πr² + πrl
Surface area = (π × 5 × 5) + (π × 5 × 9)
Surface area = (25π) + (45π)
Surface area = 70π cm²
Write the coordinates of the vertices after a rotation of 90 degrees counterclockwise around the origin.
Answer:
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
Step-by-step explanation:
From the picture attached,
Coordinates of the vertices of the given triangle,
U → (2, 7)
V → (10. 7)
W → (2, 3)
Since rule for the coordinates of a point P(x, y) after a rotation of 90° counterclockwise about the origin is,
P(x, y) → P'(-y, x)
Here point P is the preimage and P' is the image point after rotation.
By this rule,
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
What is the answer to 0.3 x 3 1/3 =
Answer:
1
Step-by-step explanation:
Hope this helpsss
Answer:
1
Step-by-step explanation:
The equation is 3/10 times 10/3, which is 30/30, which equals 1.
(hope this helps :P)
What is the area of the triangle given below?
O A 38 sq. units
B. 35 sq. units
O C. 70 sq. units
D. 19 sq. units
Answer:35
Step-by-step explanation:
What is the result of adding these two equations? \begin{aligned} 2x+3y &= -5 \\\\ 5x-y &= -12 \end{aligned} 2x+3y 5x−y =−5 =−12
Answer:
[tex]7x+2y = -17[/tex]
Step-by-step explanation:
We have the following equations:
[tex]2x+3y = -5[/tex]
[tex]5x-y = -12[/tex]
If we want to add these equations, we just need to add x-terms, y-terms and independent terms.
[tex](2x+5x)+(3y-y) = -5-12[/tex]
[tex]7x+2y = -17[/tex]
I hope it helps you!
Answer:
7x + 2y = -17
Step-by-step explanation:
khan academy
Convert (11/9)n radians to degrees. Do not round.
Answer:
70.028175
Step-by-step explanation:
To convert a radian measurement to a degree measurement, multiply the angle by the conversion ratio.
degrees = radians × (57.29578 or 180/pi)
11/9 rad = 70.028175°
I need the answer anyone please?????????????????? And explain it
Answer:correct
Step-by-step explanation:go to 1 then go up on the x axis and see that it goes to about three and do the same with three and you take the two y values and do the big number - the small number the do the same for x and you should get 22/2 and that makes a whole number of 12 BOOM
What is the midpoint of the figment joining
-1,-5) and 7, 1
Answer:
mid point={(7-1)/2,(1-5)/2=(3,-2)
Marco has $400. Each week, Marco adds $5 to his bank account.
Select the equation that best represents how much money Marco will save over time. S represents savings and w represents weeks.
w + 400 + 5 = s
400w + 5 = s
5w + 400 = s
5s + 400 = w
PLSS HURRY
Answer:
I'm pretty sure it's 400w+5=s
Step-by-step explanation:
400w because thats how much he earns each week +5 because that's how much he added =s which equals the total cost in his savings
9. Mr. Hernandez dilates the triangle shown below by a scale factor of 2 with the origin as the center to obtain .
Two of his students wrote the following statements about the triangles.
Student 1: and are similar right triangles; therefore, . Student 2: and are similar right triangles; therefore, . Which of Mr. Hernandez's students wrote a correct conclusion about the two triangles?
A. only student 1
B. only student 2
C. both student 1 and student 2
D. neither student 1 nor student 2
Answer:
Only student 2
Step-by-step explanation:
Answer: B
Step-by-step explanation: I took the test
10z = 60
step by step solution, please help!
Answer:
if you're trying to find z it equals 6
Step-by-step explanation:
because 60 ÷ 10 = 6
Answer:
divide 10 from z
z is alone
now divide 10 from 60
you get 6
z=6
I kinda suck at explaining stuff but hope that helps
7. Basic Computation: P-value Corresponding to 1 Value For a Student's dis-
tribution with d.f. = 10 and : = 2.930,
(a) find an interval containing the corresponding P-value for a two-tailed test.
(b) find an interval containing the corresponding P-value for a right-tailed
test.
Answer:
a) Interval containing the corresponding P-value for a two-tailed test is;
0.01 ≤ p-value ≤ 0.02
b) Interval containing the corresponding P-value for a right-tailed
test is;
0.005 < p-value < 0.010
Step-by-step explanation:
Given the data in the question;
t = 2.930
df = 10
Test statistics;
Now form the t-distribution table, at df = 10, 2.930 falls between { t=2.764 and t=3.169]
so;
for a two tailed test, corresponding p-value is between: 0.02 and 0.01
For one(right) tailed test, corresponding p-value is between: 0.01 and 0.005
Therefore;
a) Interval containing the corresponding P-value for a two-tailed test is;
0.01 ≤ p-value ≤ 0.02
b) Interval containing the corresponding P-value for a right-tailed
test is;
0.005 < p-value < 0.010
Faith invested $1,100 in an account paying an interest rate of 5.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years?
Answer:
The amount is $2367.32 and the interest is $1267.32
Step-by-step explanation:
Each bucket holds 212
gallons of water. If it takes 24 buckets to fill a tank, how much water does the tank hold? Quick!
Answer:
5088
Step-by-step explanation:
212*24=5088
3-[tex]\frac{7}{x}[/tex]/x+[tex]\frac{4}{7x}[/tex]
Answer:
your answer would be 21x-49/7x^2+4
Step-by-step explanation:
21 x -49
-----------
7x^2+4
Peggi gave each of her 4 friends some bows to put in a gift bag. Her Mommie gave each friend 6 more bows. The bags contained a total of 72 bows. How many bows did each friend get?
Answer:
18 I believe
Step-by-step explanation:
72/4
Answer:
each friend got 18 bows
to find how many bows each friend got;
total ÷ amount of friends=
72÷4 = 18
(to find amount she gave her friends individually;
amount each friend got - amount her mom gave them
= 18-6=12)
what is 0.42 as a percentage
Answer:
42%
Step-by-step explanation
0.42 = 42/100
to find percent you need to find how much is it out of 100
42/100 = 42%. :)
Answer:
42%
Step-by-step explanation:
If you have a hard time determining how to calculate a decimal into a percentage, just move the number to places to the left.
Hope this helped!
Thanks!
Your friend in answering,
~Steve
Evaluate 9(-2)
What’s the answer for this
Answer:
-18
Step-by-step explanation:
just multiply 9 and -2, and you'll get -18
How would you distribute the 3 in the following expression using the distributive property:
3(4+6)
Answer:
multiply 3 by both numbers in the parenthesis (answer is 30)
Step-by-step explanation:
3(4+6) you would do 3*4 and 3*6 so 12 and 18 add them you get 30
Thera are 9 players on a baseball team a club has 9 baseball teams how many baseball players are in the club
Answer:
81
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
9 in each team and theres 9 teams in all
9*9=81
The lengths of text messages are normally distributed with a population standard deviation of 6 characters and an unknown population mean. If a random sample of 27 text messages is taken and results in a sample mean of 25 characters, find a 95% confidence interval for the population mean. Round your answers to two decimal places.
Answer:
45
Step-by-step explanation:
+hhsbsbbsjahsgsbsnkakwhsgevssv
There will be 6 people at Eli's cake party. You want to bake enough cake so that each person you feed will eat at least 1/5 of the cake. What is the minimum number of cakes to bake?
Please put the procedure with operations used. :(
Answer: 2 cakes.
Step-by-step explanation:
There will be a total number of 6 people at Eli's cake party.
You want that each one of these 6 people to eat at least 1/5 of a cake.
Then you need to make, at least, 6 times 1/5 of a cake.
This is equal to:
6*(1/5) of a cake = 6/5 of a cake.
And we can rewrite this as:
(6/5) of a cake = (5 + 1)/5 of a cake = (5/5 + 1/5) of a cake = 1 cake + 1/5 of a cake.
But you can not bake only 1/5 of a cake, we need whole numbers.
Then we need to round up to the next whole number, which is 2.
This means that you need to bake at least 2 cakes.
a. p = 5t + 4
b. a = t2 - 4
c. d = t(5 – f)
Make t the subject in the formulas
Answer:
a, t = (p - 4)/5
b. t =√(a + 4)
c. t = d/(5-f)
Step-by-step explanation:
a. p = 5t + 4
To make t the subject of the equation, subtract 4 from both sides
p - 4 = 5t + 4 - 4
p - 4 = 5t
Divide both sides by 5
(p - 4)/5 = t
t = (p - 4)/5
b. a = t2 - 4
to make t the subject, add 4 to both sides
a + 4 = t2 - 4 + 4
a + 4 = t2
find the root of both sides
t =√(a + 4)
c. d = t(5 – f)
to make t the subject, divide both sides by 5 - f
d/(5-f) = t(5 – f)/(5 – f)
t = d/(5-f)
Please Help and Show you work!!!!!!!!
Thank you so much!!!!!
Answer:
5. 60%
6. $12,331
Step-by-step explanation:
Cross multiply:
5.
[tex]\frac{137.94}{229.90}=\frac{x}{100}[/tex]
100(137.94)= 13,794
13,794/229.9= 60, 60%
6.
[tex]\frac{616.55}{x}=\frac{5}{100}[/tex]
100(616.55)= 61,655
61,655/5= 12,331, $12,331
I hope this helps!
could you solve it What is _____+______+______=30 Using 1,3,5,7,9,11,13 ,15 what are the numbers
Answer:
We want to solve:
___ + ___ + ____ = 30
using the numbers:
1, 3, 5, 7, 9, 11, 13, 15.
Now, 30 is an even number.
And the given numbers are all odd.
A random even number is written as:
2*n (where n is an integer)
A random odd number is written as:
2*k + 1 (where k is an integer)
If we add 3 odd numbers, we get:
(2*k + 1) + (2*c + 1) + (2*j + 1) = 2*(k + c + j) + 3
= 2*(k + c + j + 1) + 1
(k + c + j + 1) is an integer, then we can write this as p
then the sum of 3 odd numbers can be written as:
2*p + 1
This means that the sum of 3 odd numers is always an odd number.
Then we can not find 3 odd numbers such that their sum is equal to 30.
if instead, we could use 4 numbers, like:
___ + ___ + ___ + ___ = 30
Then we could select:
15, 1, 5 and 9.
because:
15 + 1 + 5 + 9 = 15 + (1 + 5) + 9 = 15 + 6 + 9 = 15 + (6 + 9) = 15 + 15 = 30
Find the value of 70% of ₹300
Answer:
70% of 300 is 210
Is 2/6 greater than 1/2
Answer:
1/2 is greater hope it helps