In this exercise we will use the differential equations to calculate finances, we find that:
a) [tex]Profit = (x - 3)f(x)[/tex]
b) [tex]P' = f(x) + (x - 1) f'(x)[/tex]
c) [tex]P' = 29400[/tex]
The cost of producing the items is the total expenses of production while the revenue is the amount of money generated from selling the item.
a)Then using the given formula and substituting for the known values we find that;
[tex]Cost = \ cost \ of \ producing \ one \ item * number \ of \ items \ produced\\Cost = $3 * f(x) = 3f(x)\\Revenue = selling \ price \ of \ one \ item * number \ of \ items \ produced\\Revenue = x * f(x) = xf(x)\\Profit = Revenue - Cost = xf(x) - 3f(x)\\Profit = (x - 3)f(x)[/tex]
b) Applying knowledge of differential equations we find that:
[tex]P' = d/dx(xf(x) - 3f(x) )\\P' = f(x) + xf'(x) - f'(x)\\P' = f(x) + (x - 1) f'(x)[/tex]
c)Substituting the known values into the formula given above, we find that:
[tex]f(x) = 3000, x = $45, f'(x) = -600 items / 1$\\P' = 3000 + (45 - 1)(-600)\\P' = 3000 + 26400\\P' = 29400[/tex]
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2) Egbert's twin sister Egberta runs her own small business making pies. She delivers all
her own orders. For each order, she charges a flat delivery fee, and a cost per pie. Client 1
makes orders 2 pies and it costs $62. This is expressed as the ordered pair (2, 62).
a) Client 2 orders 11 pies for a total cost of $287. Express this as an ordered pair.
I
b) Find the slope between these 2 points.
c) Write a linear equation to represent this scenario where x is the number of pies
and y is the total charges
d) What is the cost per pie?
What is the delivery fee?
e) Use the equation to find out how much she would charge for 8 pies
f) How many pies would result in a total charge of $262 ?
Focus
Answer:
Step-by-step explanation:
a. (11,287)
b. 25
c. y = 25x + 12 (not sure if this is correct)
d. $25 and $12
e. $212
f. 10 pies
The ratio of 5 to 15
Answer:
the ratio of 5 to 15 is
1/3 hope i helped please check out my latest question i need help with homework
Step-by-step explanation:
its simplified
Help me plssssssssssss
Answer:
6
Step-by-step explanation:
6 is the answer
I WILL GIVE BRAINLY What will be the surface area of the figure given below (in square feet)? Choose the correct option.
Answer:
145
Step-by-step explanation:
Each triangular side is 30ft
bottom is a 5*5 so it 25ft
30*4(#of sides)=120
120+25(bottom)=145
Answer:
I will give you the easy explanation here, go down there though to get a more complexed explanation and answer. Seeing it is a triangle, you can not multiply the 12 by 5. You have to multiply it by 2.5 because it dips in (because it's a triangle). Now you multiply the 5x5 to get 25. Now we have 25 for the base and 30 for each side. 30x4 to represent each side and add 25 for the base to get 145 as the final answer.
Step-by-step explanation:
Ok, they made this really easy with the 5's. You multiply the 5 by the 5 to get 25 in which the 12 there is about half of that, that made things really easy. Since the 12 goes to the middle that means that we can take what is from the middle to the side removing the half there getting you -2. Therefore, 12-2=10. Meaning the center is 10.
1368⁄75 is approximately equal to what value
Answer:
Is there anything that we can choose an answer from?
Step-by-step explanation:
What multiplication equation is represented by this picture? Explain.
Answer:
Step-by-step explanation:
Each circle represents : [tex]\frac{3}{5}[/tex] and 5 circles
5 * [tex]\frac{3}{5}[/tex]
Answer
Step-by-step explanation:
is Each circle represents : 3/2 and 5 circles
Convert the point-slope form to slope-intercept form. y - 5 = 3(x - 2)
Answer:
y = 3x - 1
Step-by-step explanation:
distribute on the right side of equation first
y - 5 = 3x - 6
now add 5 to each side
y = 3x - 1
Answer:
Step-by-step explanation:
y - 5 = 3x - 2
y = 3x + 3
en la siguiente imagen cuál es la respuesta correcta
Answer:
2.5
Step-by-step explanation:
Find the surface area of the regular pyramid
Which shows the simplified form of the expression below? 90y^4-120y-360y^3+30y^2
Show all steps you took to get the answer
Answer:
[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]
Step-by-step explanation:
Given
[tex]90y^4-120y-360y^3+30y^2[/tex]
Required
Simplify
[tex]90y^4-120y-360y^3+30y^2[/tex]
Factor out 30y
[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 4 - 12y^2 + y)[/tex]
Reorder the expression
[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 12y^2 +y - 4 )[/tex]
Factorize
[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^2(y - 4) +(y - 4) )[/tex]
Combine the factors
[tex]90y^4-120y-360y^3+30y^2 = 30y((3y^2+1)(y - 4))[/tex]
Rewrite as:
[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]
Given that f(x) = 3^x, identify the function g(x) shown in the figure
Plz help yall
Answer:
B. g(x) = 3^(x - 4) + 2Step-by-step explanation:
As per the graph, g(x) is the translation of f(x) right and up, therefore:
g(x) = f(x - 4) + 2Which is:
g(x) = 3^(x - 4) + 2Correct choice is B
Answer:
g(x) = 3(x + 4) - 2
Always, Sometimes, Never
Two similar triangles are congruent
Answer:
Similar triangles are sometimes congruent. We can consider two triangle such that the measure of all the angles are equal but the sides of one triangle is three times the side of the other triangle in such a case the triangles are not congruent but they are similar
ashley is on a road trip. so far she has traveled 28.61% of the trip which is 101 miles. how many miles is the entire trip?
Answer:
Around 300 Miles
Step-by-step explanation:
Nots sure of the exact number. If 28% of the trip is 101 miles then 50% would be around 210 miles.
So the entire trip as a whole should be near 300 miles.
Hope this Helps!
:D
The city of Raleigh has 6000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 250 randomly selected registered voters was conducted. 100 said they'd vote for Brown, 141 said they'd vote for Feliz, and 9 were undecided. Describe the population actually represented by this survey.
Answer:
[tex]Brown = 2400[/tex]
[tex]Feliz = 3384[/tex]
[tex]Undecided = 216[/tex]
Step-by-step explanation:
Given
[tex]N = 6000[/tex] -- population
[tex]n = 250[/tex] -- sample
From the sample, the proportions are:
[tex]B = 100[/tex] -- Brown
[tex]F=141[/tex] -- Feliz
[tex]U = 9[/tex] -- undecided
Required
Describe the actual population
The actual is calculated using:
[tex]Actual = \frac{p}{n} * N[/tex]
So, for Brown
[tex]Brown = \frac{100}{250} *6000[/tex]
[tex]Brown = \frac{100*6000}{250}[/tex]
[tex]Brown = \frac{600000}{250}[/tex]
[tex]Brown = 2400[/tex]
For Feliz
[tex]Feliz = \frac{141}{250} * 6000[/tex]
[tex]Feliz = \frac{141* 6000}{250}[/tex]
[tex]Feliz = \frac{846000}{250}[/tex]
[tex]Feliz = 3384[/tex]
For undecided
[tex]Undecided = \frac{9}{250}*6000[/tex]
[tex]Undecided = \frac{9*6000}{250}[/tex]
[tex]Undecided = \frac{54000}{250}[/tex]
[tex]Undecided = 216[/tex]
Which equation is represented by the number line? -10 -8 -6 -4 -2 0 2 4 6 8 10
1. - 4 + 10 = 6
2. -6 + 2 = -4
3. 2 + 4 = 6
4. 6 + (-10) = -4
Answer:
I think it's -4+10=6
Step-by-step explanation:
I'm not sure. I'm sorry if it's wrong but I'm pretty sure it's right.
a school has 300boys.if this is 60% of the total no. of pupils in the school, how many girls are there in the school?
Answer:
240
Step-by-step explanation:
if that is 60 percent that means that if you times 600 by 40 percent that should get you your awnser
What is the missing constant term in the perfect square that starts with x^2 + 10z
Answer:
25
Step-by-step explanation:
i think you mean +10x
but (x+a)^2 = x^2 + 2ax + a^2
2ax = 10x
ax = 5x
a = 5
so (x+5)^2 = x^2+10x+25
2) Find the volume of the following cube:
511
5.ft
5.11
A.
B
O 25 ft.
15 ft.
O 5 ft.
125 ft.
C.
D
Answer:
A
Step-by-step explanation:
I think that is A.......
Which statement is always true
Answer:
No picture so I can’t answer the question
Step-by-step explanation:
1. Bruce graphs parallelogram GOAT with the coordinates G(-2,-3), 0(3.-4),A(2.-10), and T(-3,-9). At which of the following points do the diagonals meet A (0-2 B (0-3) c (1) D.-5)
Answer:
(0,-13/2)
Step-by-step explanation:
Graph down the points and use the midpoint formula, (X1+X2)/2, (Y1+Y2)/2
evaluate the expression 4/5-2/3
Answer:
2/15
Step-by-step explanation:
Find the LCM which is 15. Multiply 4/5 by 3 to get the numerator 15 and multiply 5 to 2/3 to get the numerator 15.
12/15-10/15=2/15
Hope this helps. Pls give brainliest.
Will give brainliest
What is the missing reason in step six?
A. Opposite sides in a parallelogram are congruent
B. SSS
C. CPCTC
D. Definition of a parallelogram
CPCTC is the missing reason in step six.
CPCTC states that corresponding part of the congruent triangles are congruent.
Here, Given: ABCD is a quadrilateral,
In which AD ≅ BC and AD║BC
Prove : ABCD is a parallelogram.
Statement Reason
1. AD ≅ BC; AD║BC 1. Given
2.∠CAD and ∠ACD are alternative angles 2. Definition of alternative angles
3. ∠CAD ≅∠ACB 3. alternative angles are congruent
4. AC ≅ AC 4. Reflexive property
5.△CAB ≅ △ACB 5. SAS congruence postulate
6. .AB ≅ CD 6. CPCTC
7. ABCD is a parallelogram 7. Parallelogram side theorem
Therefore, CPCTC is six step.
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The dot plot below shows the number of siblings each student in Gina's after-school program has.
Number of Siblings Each Student Has
::
5
6
2 3
4
Number of Siblings
The total number of students in Gina's after-school program is
The number of students who have 4 or more siblings is
A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists 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.
According to the given data
The total number of students in Gina's after-school program is 15 students.
Now,
The number of students who have 4 or more siblings is = 3+1 = 4
Learn more about dot plot here:
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which one is the answer
Answer:
Two
Step-by-step explanation:
How do I solve 9.85xs;s=4
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "9.85" was replaced by "(985/100)".
Bad syntax in Linear Equations
... V
(985/100)xs;s=4
Bad syntax in Linear Equations
........... V
(985/100)xs;s=4
Multiplication of variables in Linear Equations
........... V
985/100xs;s=4
Equation without an equal sign
............ V
985/100xs;s=4
Step-by-step explanation:
BRAINLIST PLEASE
x/15 = 4
What does X equal?
Answer:
60
Step-by-step explanation:
x/15=4
This can also be written as:
x÷15=4Multiply each side by 15 to isolate x
x=4(15)solve.
x=60Check:
60/15=460÷15=44=4(right person gets 44 points!!)
the freshman class is planning a carnival, the cost to rent a space in writers $350, to pay for the space and rides, each freshman must pay $.50 and $2 for each guest who is not a freshman, one hundred freshman plan to attend how many guests must attend in order to pay for the space and rides
A) no more than 150 guests
B) At least 300 guests
C) at least 140 guests
D) at least 150 guests
Answer:
I'm not 10)% sure but I believe it's A.
Step-by-step explanation:
Answer:
Answer C (Atleast 140 guests)
Step-by-step explanation:
First you have to add $2+0.50=$2.5 you have to divide $350 by $2.5 to get 140 guests
Yeshemi Yaurez went to the local sporting goods store, where he bought a fishing pole for $32.88,
a tackle box for $15.95, and some lures for $9179. If the state sales tax rate is 4 percent, what is
his total purchase price?
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of: μ = 473 and a standard deviation of: σ = 28. According to the standard deviation rule, almost 0.15% of the students spent more than what amount of money on textbooks in a semester?
Answer:
0.15% of the students spent more than 557 on textbooks in a semester
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 473
Standard deviation = 28
According to the standard deviation rule, almost 0.15% of the students spent more than what amount of money on textbooks in a semester?
99.7% of the measures are within 3 standard deviations of the mean, so 100 - 99.7% = 0.3% are more than 3 standard deviations from the mean.
The normal distribution is symmetric, which means that 0.3%/2 = 0.15% spend less than 3 standard deviations below the mean, and 0.15% spend more than 3 standard deviations above the mean.
473 + 3*28 = 473 + 84 = 557
0.15% of the students spent more than 557 on textbooks in a semester
Hellooooo so What is 22 / 52.8