Answer: 50
Step-by-step explanation:
Ok, we have the equation:
C=4000x-100x²+x³
Notice that the leading coefficient in this equation is positive, this means that as the value of x increases, also will the value of C.
Then we will not have a maximum, because as x →∞, C(x) →∞.
By doing an online search i found this same question, but with the change that we want to find x such that the average cost is minimum (this makes more sense).
Then let's do that:
The total cost for making x pieces is:
C(x) = 4000x-100x²+x³
Then the average cost, or the cost per piece, will be:
F(x) = C(x)/x = 4000 - 100*x + x^2
Notice that F(x) is a quadratic function with a positive leading coefficient, then the arms of the quadratic function will open upwards, this means that the minimum will be at the vertex.
To find the minimum, we must look at the zeros of the first derivation of F(x):
F'(x) = dF(x)/dx = -100 + 2*x
The zero is when:
F'(x) = 0 = -100 + 2*x
100/2 = x
50 = x
Then the number of x that minimizes the average cost is x = 50.
Michael wants to purchase a jeep. The purchase price of the Jeep is $37,000. The
dealership will allow him to pay cash or finance the Jeep with a down payment of
$5,000.00 and 60 monthly payments of $625.00. Michael chose to finance the jeep.
Answer the following questions.
a) What is the amount financed?
b) What is the total amount of monthly payments?
C} What is the amount of the finance charge?
Answer:
A) $32,000 B) $37,500 C) $5,500
Step-by-step explanation:
Price of jeep: $37,000
Michael uses $5,000 of his own money toward that total $37,000-$5,000= $32,000
Monthly payments $625.00×60months=$37,500
After paying $5,000 of his own money, & bringing theamount owed to $32,000. Michael still has to pay back $37,500. Making, the finance chardge $5,500. ($37,500-$32,000= $5,500)
Amount financed = $32000, total amount of monthly payment = $37500 and total amount of the finance charge = $5500.
What is dealership finance ?
"Dealer financing is a type of loan that is originated by a retailer to its customers and then sold to a bank or other third-party financial institution. The bank purchases these loans at a discount and then collects principle and interest payments from the borrower. This is also called an indirect loan."
According to the question,
Given,
Price of jeep = $37000
Down payment = $5000
Total number of monthly payment = 60
Amount to be paid after down payment
= $37000 - $5000
= $32000 ____( 1 )
Amount paid in Monthly payments = $625.00 × 60months
= $37500 ____( 2 )
From ( 1 ) and ( 2 ) we get,
Finance charge amount = Total monthly amount - Total amount financed
= $37500 - $32000
= $5500
Hence, amount financed , total amount monthly payment and total amount of the finance charge is $32000 , $37500 and $5500.
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n= 101
p= 0.24
p(0.20 < p <0.30) =
Answer:
N = 101
p = 0.24
p ( 0.2 ) < p < 0.3
Step-by-step explanation:
Victoria spent one half of her birthday money on clothes. She received another $25 a week later. How much money did she get for her birthday if she ended up with $70?
Answer:
$90
Step-by-step explanation:
70-25 = 45
45x2 = 90
Could someone please guide me towards solving side x I know I have to use trig but I'm completely lost
Answer:
x = 33.13 units
Step-by-step explanation:
Let the altitude of the triangle be h units.
[tex] \sin 65 \degree = \frac{h}{31} \\ \\ 0.906307787 = \frac{h}{31} \\ \\ h = 0.906307787 \times 31 \\ \\ h = 28.0955414 \\ \\ \cos \: 32 \degree = \frac{h}{x} \\ \\ 0.8480480962 = \frac{28.0955414}{x} \\ \\ x = \frac{28.0955414}{0.8480480962} \\ \\ x = 33.1296556 \\ \\ x \approx 33.13 \: units[/tex]
Answer:
x = 23.7926Step-by-step explanation:
Step 1
Find the length of vertical line segment, lets call it h. Use function cos
h/31 = cos 66°h = 31 * cos 66° = 31*0.4067 = 12.6077Step 2
Find x using another function, sin
h/x = sin 32°x = h / sin 32°x = 12.6077 / 0.5299x = 23.7926Solve for x.
10x−3x+5=26
Answer:
x = 3
Step-by-step explanation:
10x−3x+5=26 (Given)
7x + 5 = 26 (Combine like terms)
7x = 21 (subtraction Property of equaity)
x = 3 (division Property of equaity)
Describe the graph of x ≤ −2
Find the length of BD and EC.
A
D
9
8
B
с
BD =
EC =
Plzzzzz HELPPP WITH DIS LOOK AT THE PHOTO
Kaley and Tom both work at Publix. for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' wages for Kaley and Tom if h represents the number of hours Tom worked? What is another way to write the expression?
1. How many terms are in 7y-2+9x-4?
Answer:
2 and they are x and y
Step-by-step explanation:
What is 15.23 rounded to the nearest hundredth
Answer:
15.20
Step-by-step explanation:
y= -2x+8
what is the value of y when 0 is the value of x?
Not sure what you mean but will be explaining about y = 0 and x =0 anyway.
So for x = 0, that means the value of x is 0.
y = -2(0)+8
y=0+8
y=8
So when x = 0, the value of y is 8 (y = 8) or we can write (0,8)
For y = 0, that means the value of y is 0.
0=-2x+8
-8=-2x
-2x=-8
x=4
So when y = 0, x = 4. We can write as (4,0)
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
b
How many hours would it take to fill the order if the number of working machines increased by a factor of 2?
Answer: 11 hours
Step-by-step explanation:
22/2 = 11
Roman watched 2/5 of a movie on Monday and 1/3 on Tuesday. What fraction of the movie does he still have left to watch?
Answer:
4/15
Step-by-step explanation:
Make both fractions have equal denominators:
2 x3 -----> 6/15
5 x3
6/15 + 5/15 = 11/15 ---> 15/15 - 11/15 = 4/15
1 x5 ------> 5/15
3 x5
There are 7 students in a class: 2 boys and 5 girls.If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?
Answer:
two sevenths
Step-by-step explanation:
I need help with this can someone help me I have a few other ones as well I don’t understand anyone?
Answer:
x=59
Step-by-step explanation:
The sum of the interior angles of a triangle add up to 180 degrees. That means that (x+12)+(x)+(x-9)=180 degrees in total. If we combine the like terms (combine the xs and regular constant values), the xs add up to 3x (x+x+x) and the regular constants add up to 3 (12+-9=3). If we rewrite this in a more simplified form, we get 3x+3=180. Subtract 3 on both sides to get 3x=177 because we want to isolate x. 3x=177 divide 3 on both sides and we get 59. x=59
Suppose a random sample of n=330 tenneagers 13 to 17 years of age was asked if they use social media. Of those surveyed, 252 stated that they do use social media. Find the sample proportion of tenneagers 13 to 17 years of age who use social media
Answer:
what is
Step-by-step explanation:
The sample proportion of the teenagers 13 to 17 years of age who use social media is 0.236.
What is a Sample Proportion?Sample proportion is defined as the proportion of something from a given sample which has a particular characteristic.
The formula to calculate the sample proportion is,
p = Number of successes in a particular sample / Sample size
Given that,
a random sample of n = 330 teenagers 13 to 17 years of age was asked if they use social media.
Sample size = 330
Of those surveyed, 252 stated that they do use social media.
We have to find the proportion of teenagers 13 to 17 years of age who use social media.
Number of failures = 252
Number of successes = 330 - 252 = 78
Sample proportion = 78 / 330 = 0.236
Hence the sample proportion is 0.236.
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What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5
Answer:y = -0.6x + 5
Step-by-step explanation:
Answer:
yessir the one on top is right btw
Step-by-step explanation:
hope this helped
Anyone know how to find the missing length ?
Answer:
so i'm assuming you'd use Pythagoras:
so 15^2-12^2=81
square root it=9 which is I
to find T we do 41^2-9^2=1600
square root that is 40 so T=40
Find the general solution of the given system. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the system
Answer:
hello your question is incomplete attached below is the complete question and solution
answer : general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]
Step-by-step explanation:
attached below is the detailed solution to determine the general solution of the given system
general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]
Which of these shows the following expression factored completely? 6x2 – 13x +5
Answer:
B
Step-by-step explanation:
That's my guess.
Answer:
C
Step-by-step explanation:
what kind of graph is this?
Answer:
Linear
General Formulas and Concepts:
Types of Graphs
LinearQuadraticExponentialCubicSquare rootCube rootStep-by-step explanation:
Whenever the graph is a straight line (either a diagonal or a horizontal, NOT a vertical line), it will always be linear.
. "A number is less than or equal to -11.".
Answer:
x <(with a line underneath the carrot) -11
Step-by-step explanation:
Hope this helps! Could not find the symbol.
The inequality for x which is less than or equal to -11 is written as x ≤ -11 or x + 11 ≤ 0.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
Let the required number is x.
In the given question,
Number x is less than or equal to -11.
The inequality for x which is less than or equal to -11 can be written as,
x ≤ -11
The inequality can be further simplified as,
⇒x + 11 ≤ 0
The inequality for x is x + 11 ≤ 0.
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A baby is 18in long at birth and 27 in long in ten months
Answer:
27-18 = 9, baby grew 9 inches
Step-by-step explanation:
The length of the baby will increase 0.9 inch per month.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is that a baby is 18in long at birth and 27in long in ten months
At birth, the length of baby = 18 inches.
After 10 months, the length of the baby = 27 inches.
Increase in length per month will be -
r = (27 - 18)/(10 - 0)
r = 9/10
r = 0.9 inch
Therefore, the length of the baby will increase 0.9 inch per month.
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Simonne, Marco, and Evon were partners in
business. Simonne and Marco each received
twice as much of the profit as Evon received. If
the total profit was $1,800, how much did Evon
receive?
Seven and nine thousands in decimal form
a dolphin in a aquaruim is 12 feet long. A scale model of the dolphin is 3 1/2 in long. What is the scale factor of the model
Answer:The scale factor= 1 : 41.14
Step-by-step explanation:
I did research on it
Given 1 in =2.54 cm , how many centimeters are in a foot ?
Answer:
30.48
Step-by-step explanation:
Look up foot to centimeter :)
Answer:
30.48
Step-by-step explanation:
You take 2.54 and multiply it by the number of inches in a foot- 12.
write the equation of the line in standard form passing through (2,-4) with a slope of -7
Answer:
7x+Y=-2
Step-by-step explanation:
(y-y1)=m(x-x1)
(Y+4)=-7(x-2)
Y+4=-7x+2
Y+7x=2-4
7x+Y=-2
6x² – x=2
Factor and solve
Answer:
x=2/3 or x=−1/2
Step-by-step explanation:
6x²−x=2
6x²−x−2=2−2
6x²−x−2=0
(3x−2)(2x+1)=0
3x−2=0 or 2x+1=0
x=2/3 or x=−1/2