Answer:
Charles
Step-by-step explanation:
When a commodity is sold for x dollars per item, the number of items sold is f(x). The item costs 5 dollars to make. The item costs 3 dollars to make.
Required:
a. Express the total profit P in terms of x (the answer has been partially filled in for you).
b. What is the rate of change of the total profit as x changes?
c. If 3000 items sell when the price is 45 dollars and if the number of items that are sold decreases by 600 for every 1 dollar increase in price, find the rate of change of the profit when the item price is 45 dollars.
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]
See more about differential equations at brainly.com/question/25731911
Which statement describes the graph
Answer:
Your answer is A
Step-by-step explanation:
I hope I helped :)
Use I = PRT to solve.
(time is in years)
1 = $270,000
P = $150,000
R = 12%
Find T.
Answer:
Time T = 15 year
Step-by-step explanation:
Given:
Interest I = $270,000
Principal P = $150,000
Rate R = 12% = 0.12
Find:
Time T
Computation:
I = PRT
270,000 = (150,000)(0.12)(T)
270,000 = (18,000)(T)
Time T = 15 year
Jon borrows $8.75 from his friends to pay
for snacks, and $13.50 from his sister to go
to the movies. How much money does he
need to repay?
Use the graph to write a linear function that relates y to x.
The linear function is y=?
Answer:
identify the value that is intercepting y-axis !!
Step-by-step explanation:
in this case it is 1
PLEASE HELP I ATTACHED A PICTURE
Answer:
option 2
Step-by-step explanation:
x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.
Answer:
Option 2
Step-by-step explanation:
If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement while option 4 would represent inequality "x ≥ 7".
PLEASE HELP ITS REALLY URGENT
A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. The expression 10A + 6B, which represents the total number of people you can seat using A large tables and B small tables, is called a linear combination. For instance, 150 people could be seated using 6 large tables and 15 small tables. Use that expression to enter an equation in standard form that models all the different combinations of tables the restaurant could use. Then identify at least one possible combination of tables other than (6, 15).
The equation is . Another possible combination is
Answer:
15
Step-by-step explanation:
Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at the same time. After how many minutes they will rounds together again?
Answer:
[tex]Time = 11\frac{2}{3}\ min[/tex]
Step-by-step explanation:
Given
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
Required
After how many minutes, will they round together
First, convert the given time to minutes
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ \frac{20}{60}\ min[/tex]
[tex]Security\ A = 2\ mins+ \frac{1}{3}\ min[/tex]
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ \frac{40}{60}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
So, we have:
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
List out the multiples of the time of both security personnel take round.
[tex]Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...[/tex]
[tex]Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...[/tex]
In the above lists, the common time is:
[tex]Time = 11\frac{2}{3}\ min[/tex]
This implies that they go on round after [tex]11\frac{2}{3}\ min[/tex]
Which fraction is greater than 2/5? 3/10, 7/10, 2/4, 3/6
Answer:
all of them are except for 3/10
Step-by-step explanation:
Answer:
3/6
Step-by-step explanation:
plz mark as brainliest
thank you
19NBoli
A car dealership decreased the price of a certain car by 14%. The original price was $48,200.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price = { x Original price
(b) Use your answer in part (a) to determine the new price.
New price: $0
Answer:
a) New price = 0.86 * Original price
b) New price = 0.86 * 48200 = $41452
Step-by-step explanation:
Classify the following polynomials by the number of terms and degrees
-2x^3 +5x
Answer:
A third degree binomial
Step-by-step explanation:
The highest power is 3 hence the 3rd degree
and there are 2 terms hence the bi-nomial
I need help please help me solve the the table
Answer:
cool
Step-by-step explanation:
can anyone pls help me with this question I'm stuck
Answer:
I think 24
let b=3
l=4
and h=2
Answer:
864
Good luck!
7 more than a number ?
A)n+7
B)7+n
C)7-n
Answer:
B)7+n
Step-by-step explanation:
Answer:
A but see below.
Step-by-step explanation:
A is likely the best answer, although B is also correct. However you should write things in the other they are given.
n + 7 is the very best way to answer.
7 + n is not wrong but maybe not wanted.
Which pair of ratios forms a proportion?
A 7 15
10 18
B 5 15
9 27
C 3 15
10 25
Write an
equivalent expression using the distributive property.
1/4(4x - 6)
Answer:
Step-by-step explanation:
Distributive property: a*(b + c)= (a*b) + (a*c)
[tex]\frac{1}{4}(4x - 6) = 4x*\frac{1}{4} - 6*\frac{1}{4}\\\\[/tex]
[tex]= x -3*\frac{1}{2}\\\\=x - \frac{3}{2}[/tex]
a truck just left the weigh station on interstate 40. it weighted 6 tons 500 pounds and had a load of 1,200 pounds. How much would the transfer truck alone weigh?
Answer:
The weight limit on the bridge is75,500 pounds. ... In pounds, how much cargo can the truck carry and still be ... Helllppp pleaseeee A rancher has a three sided plot of ..
(please answer thank you!)
The cost of a hamburger is $1.15 more than an order of large fries. Bill bought two hamburgers and an order of fries for a total of $8.60. What is the price of each item? Give your answer in full sentences.
Answer:
The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Step-by-step explanation:
Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:
X + X + 1.15 + X + 1.15 = 8.60
3X + 2.30 = 8.60
3X = 8.60 - 2.30
X = 6.30 / 3
X = 2.10
Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
92 divided by the sum of 49 and 36?
Answer:
92/85
Step-by-step explanation:
The length of each side of parallelogram RSTU is multiplied by three to create parallelogram WXYZ.
What is the ratio of the area of parallelogram RSTU to the area of parallelogram WXYZ?
A.1:3
B.1:6
C.1:9
D.1:27
E.1:81
Answer:
I believe A?
Step-by-step explanation:
Which of the following linear equations below is equivalent to 10x−5y=−15?
a. y = 3x + 2
b. y = 2x + 3
c. y = 3x - 2
d. y = 2x - 3
Answers:
B. y = 2x + 3
hope this helps
If 2.22 moles of ammonia (NH3 ) decomposes according to the reaction shown, how many moles of hydrogen (H2 ) are formed? A. 1.11 moles of H2 B. 3.33 moles of H2 C. 6.66 moles of H2 D. 2.22 moles of H2
Answer:
C. 3.33 moles
Step-by-step explanation:
Ammonia decomposes
[tex]2NH_3\rightarrow N_2+3H_2[/tex]
We have to find the moles of hydrogen formed in 2.22 moles of ammonia.
From the reaction
2 moles of ammonia gives 3 moles of hydrogen
1 mole of ammonia produce hydrogen=3/2 moles
2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles
Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia
=[tex]\frac{6.66}{2}=3.33[/tex]moles
Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.
Option C is true.
C. 3.33 moles
Pls hurry and help!!!!! 3х + 3 = Зу
2x – 6у = 2. Solve the equations by using elimination (adding) show work
Answer:
Step-by-step explanation:
3x - 3y = -3
2x - 6y = 2
-6x + 6y = 6
2x - 6y = 2
-4x = 8
x = -2
-4 - 6y = 2
-6y = 6
y = -1
(-2, -1)
According Two data from the 2010 United States Census 83.7% of Americans lived in the metropolitan area suppose maria researcher takes a random sample of 125 Americans and find that 98 live in the Metropolitan area let P hat represent the sample proportion of Americans that live in a metropolitan area what are the mean and standard deviation of the sampling distribution of P hat provide your answer rounded to three decimal places
Answer:
Mean is 83.7%
And, the standard deviation is 0.033
Step-by-step explanation:
The computation of the mean and the standard deviation is as follows:
Let us assume the P be the sample proportion
Mean is 83.7%
And, the standard deviation is
[tex]= \sqrt{\frac{p(1-p)}{n} } \\\\=\sqrt{\frac{0.837(1-0.837)}{125} }[/tex]
= 0.033
Factorise
x^2 - 5x - 6
Answer:
(x+1)(x-6)
thats the ans :)
Please help me, I think this is easy but I just don't get it...
Answer:
the last one?
Step-by-step explanation:
i dont know, but that one seems like it would
Answer:
answer is A if only one can be chosen. if more than one can be, b might be an answer as well, but not c and d.
Step-by-step explanation:
think of a 3 4 5 triangle for answer a.
just remembered this method, do Pythagorean theorem for each answer. that will tell you which equals a triangle. answer a foe sure is one cmbecuase of a 3 4 5 triangle.
Solve the system of linear equations by graphing
Answer:
Place one dot at (0,-2) and another point at (-1,-1) then draw a line through it. Then place a dot at (0,3) and (1,0) And draw a line through those two points. Wherever those two lines intercept will be your answer.
Step-by-step explanation:
15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!
Answer:
t = 10
Step-by-step explanation:
15 = 1.5 × t
15/1.5 = t
10 = t
mark me as brainlistWhat's the slope of -x+2y=5
Answer:
Slope = (1/2)
Step-by-step explanation:
Rearrange the equation into the y = mx + b format.
-x + 2y = 5
2y = x + 5
y = (1/2)x + (5/2)
m represents slope, which is (1/2) in this question.