Hi everyone, I'm having trouble with this question and I'm not sure how to do it/where to start. Does anyone have a solution to it? It will help me with my future problems on this topic!
This is quite an interesting problem. I am not sure how high you are in math, but I am going to use calculus I techniques to solve it. First, we need to model an equation. Let P be the total profit and x be every time you increase the cost by $10. If you think about it hard enough you come up with the equation
[tex]P(x)=(200-5x)(250+10x)[/tex]
(200-5x) is the amount of plots you will be able to sell, and (250+10x) is the amount you charge for. So, at x =0
[tex]P(0)=(200-5(0))(250+10(0))=(200)(250)=$50,000[/tex]
This is the initial condition where if we sell 200 plots at $250/plot.
So, this equation makes sense.
Now, let's maximize using the first derivative of the function.
Let's get it into an easily differentiable form.
[tex]P(x)=(200-5x)(250+10x)=-50x^2+2000x-1250x+50000\\=-50x^2+750x+50000[/tex]
From here, differentiate the problem.
[tex]P'(x)=-100x+750[/tex]
Now, set it equal to zero and solve for x.
[tex]P'(x)=-100x+750=0\\x=7.5[/tex]
This a critical point of the function. Let's plug back into the original equation to see what it gives us.
[tex]P(7.5)=(200-5(7.5))(250+10(7.5))=(162.5)(325)=52,812.50[/tex]
You cant sell half a plot, so we need to see what happens if we sell 162 plots and 163 plots, and then compare which one gives us more money.
In order to sell 162 plots
[tex]200-5x=162\\x=7.6[/tex]Plug back into P(x) to see the profit
[tex]P(7.6)=(200-5(7.6))(250+10(7.6))=(162)(326)=52,812[/tex]
Now, do the same for 163 plots
[tex]200-5x=163\\x=7.4\\P(7.4)=(200-5(7.4))(250+10(7.4))=(163)(324)=52,812[/tex]
As we can see, they are the same. So, you can charge either $324 or $326 in rent. But, if your teacher is not looking for a logical answer and you can somehow sell half a plot, you can charge $325 in rent for the maximum profit.
. An insurance company predicts that about an 80% chance that a person aged 20 will be alive at age 65 in a certain population. Suppose that 64 people aged 20 are selected at random. What is the probability that at least 48 of them will still be alive at age 65
Step-by-step explanation:
the probabilty for exactly 48 people surviving is
(64 over 48) × 0.8⁴⁸ × 0.2¹⁶
the possible combinations of 48 people out of 64 associated with the probability of 48 survivors and 16 deaths.
"at least" is then sum of the probabilities of exactly 48, 49, 50, 51, ... 64 people surviving.
that is a longer calculation of these 17 possibilities.
they go
(64 over 48) × 0.8⁴⁸ × 0.2¹⁶ = 0.0714...
(64 over 49) × 0.8⁴⁹ × 0.2¹⁵ = 0.0933...
(64 over 50) × 0.8⁵⁰ × 0.2¹⁴ = 0.1119...
...
(64 over 63) × 0.8⁶³ × 0.2¹ = 0.00001004...
(64 over 64) × 0.8⁶⁴ × 0.2⁰ = 0.0000006277...
the sum is the probabilty (that at least 48 out of the 64 are alive at 64) of 0.8746...
the maximum single probability (for an exact number of survivors) is as expected at exactly 51 and exactly 52 survivors with a probability of 0.1229... for each case.
of course, this is around the expectation value of
64×0.8 = 51.2 (out of the 64 it is expected that per average 51.2 people survive and reach age 64).
Help me plz I really need help
Answer:
it won't let me message back.
Step-by-step explanation:
math models help PLEASE!
(20x5+10)-(8x8-4)
a . 58
b. 50
c. 40
Answer:
Answer is C, 40
Step-by-step explanation:
(100)-(60)
Which sentence uses correct subject-verb agreement?
A. The river through our cities are polluted
B. Mountains in Colorado is beautiful.
C.The book about South American rivers is overdue.
D. The trees around our state is blooming.
Answer: C
Step-by-step explanation: the guy up top is correct:)
Please help me, thanks
Answer:
I dont know
Step-by-step explanation:
Can you type in the question please and ty
Tamara bought a $22 mailbox using a 10% off coupon David bought an identical mailbox for $19.95 at a different store
Which statement is true?
Answer:David bought an identical mailbox for $ 19.95 at a different store.
Step-by-step explanation:
David bought an identical mailbox for $ 19.95 at a different store. you can buy a same mailbox but for different prices you have 22 dollars you have a 110 percent off you dont have enough
Calculate the probability P(E).
The Heavy Weather Service predicts that for tomorrow there is a 50% chance of tornadoes, a 25% chance of a monsoon, and a 15% chance of both. What is the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon?
The probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total putcome
If there is a 15% chance that tornadoes and monsoon will occur, hence the
the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon will be expressed as:
Pr(neither tornadoes nor a monsoon) = 1 - Pr(both will occur)
Pr(neither tornadoes nor a monsoon) = 1 - 0.15
Pr(neither tornadoes nor a monsoon) = 0.85 = 85%
Hence the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85
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In the 01 July 2016, Samsung Ltd acquired the machine A by $1,502,000. Estimated useful life is 10 years, estimated residual value is $2,000. Company uses straight-line method for depreciation. From 2019, Samsung Ltd measure the machine A by the revaluation model. At 30 June 2019, machine A was revalued to $ 1,400,000. After one year, at 30 June 2020, machine A was revalued to $1,000,000. At 30 June 2021, machine A was revalued to $1,500,000. Required: Prepare the journal entries from 01 July 2016 to 30 June 2021. (using both method for revaluation)
a) Samsung Ltd will record these Journal Entries from July 2016 to June 30, 2021, using the straight-line and revaluation methods of depreciation:
July 1, 2016 Debit Equipment $1,502,000
Credit Cash $1,502,000
To record the purchase of the machine A.June 30, 2017 Debit Depreciation Expense $150,000
Credit Accumulated Depreciation $150,000
To record the depreciation expense for the first year.June 30, 2018 Debit Depreciation Expense $150,000
Credit Accumulated Depreciation $150,000
To record the depreciation expense for the second year.June 30, 2019 Debit Accumulated Depreciation $300,000
Credit Revaluation Reserve $300,000
To close the accumulated depreciation to Revaluation Reserve.June 30, 2019 Debit Revaluation Reserve $198,000
Credit Revaluation Surplus $198,000
To record the Revaluation Surplus.June 30, 2020 Debit Revaluation Expense $400,000
Credit Revaluation Reserve $400,000
To record the revaluation loss.June 30, 2021 Debit Revaluation Reserve $500,000
Credit Revaluation Surplus $500,000
To record the revaluation surplus.Data and Calculations:
Cost of machine on July 1, 2016 = $1,502,000
Estimated Residual Value = $2,000
Depreciable amount = $1,500,000
Estimated useful life = 10 years
Based on the straight-line method the depreciation expense for each year = $150,000 ($1,500,000/10).
Value of Machine at:
June 30, 2019 - $1,400,000
June 30, 2020 = $1,000,000
June 30, 2021 = $1,500,000
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-2x + 8 > 22
im a little stuck help
Answer:
Step-by-step explanation: am sorry but I don’t know nothing
Central/Inscribed angles pls help with work <3
Answer:
Step-by-step explanation:
Arc angle KLM will be twice ∠KSM = 210°
Arc angle ML will be 210 - 130 = 80°
Arc angle LMS will be twice ∠LKS = 160°
Arc angle SM will be Arc angle LMS - ML = 160 - 80 = 80°
3^9 times 3^7 in exponential form
Answer:
3¹⁶
Step-by-step explanation:
While adding numbers with exponents, if the base of the numbers is same, then it will also be the same in the final answer and the exponents add
Hope this helps!
Answer:
You can just add the exponents power
9+7=16
So its 3^16 in exponential form
You can think of it like this.
for 3^9 its
3*3*3*3*3*3*3*3*3
And for 3^7 its
3*3*3*3*3*3*3
Now your multiplying them all together.
Really your jsut adding the value so in the end
3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
So its
3^16
What does x= in the equation, 7(x-5=x+13
Answer:
X equals 8.
Step-by-step explanation:
Firstly, you remove the parentheses
Secondly, you move the terms
Then you collect like terms and add the numbers
Lastly, you divide both sides which gives you 6 x = 48,
so your answer is 8.
Hope this helped.
Answer:
x = 8
Step-by-step explanation:
Calculating purely on the assumption the question is equal to 7(x - 5) = x + 13
7(x - 5) = x + 13
7x - 35 = x + 13 ⇒ expand brackets
7x - 35 + 35 = x + 13 + 35 ⇒ add 35 to both sides
7x = x + 48
7x - x = x + 48 - x ⇒ subtract x from both sides
6x = 48
[tex]\frac{6x}{6} = \frac{48}{6}[/tex] ⇒ divide both sides by 6
x = 8
Hope this helps!
help me please the drop down menu is the same for top and bottom i’m lost:(
Answer:
1) No solution
2) Infinitely many solutions
Step-by-step explanation:
1) No solution
0=2 is false.
2) Infinitely many solutions
2=2 is true because both sides are equal, hence, it is an infinite solution.
Hope this helps :)
HELPPP LAST ATTEMPT!!
Answer:
Here’s something I wrote that can help you. I don’t really wanna do transformations but this should help you get the answer in a snap.
ONLY FOR REFLECTIONS
Over the x-axis: (x, y) — > (x, –y)
Over the y-axis: (x, y) — > (–x, y)
Over the line y = x: (x, y) — > (y, x)
Through the origin: (x, y) — > (–x, –y)
So for example E is (6,-1)
Over the y axis so following the coordinate plane rules, (6,-1) — > (-6, -1)
(-6, -1) over x axis which is following the rules
(-6, -1) — > (-6, 1)
Final answer (-6,1)
Answer:
(-6, 1)
Step-by-step explanation:
If you reflect over y-axis and x-axis it is just the opposite of each number.
HELLPPPPPP PLEASEEEE!!!!!!!!!!!!!!!
Answer:
D: Both the slopes and the y-intercepts are the same.
Answer:
its the same
Step-by-step explanation:
the slope is -2 and the y-intercept is (0,3)
At a local corner store, the cost of a bag of chips at the corner store is $1.30, and the
cost of a banana is $1.40. What would it cost to get 4 bags of chips and 5 bananas?
What would it cost to get a bags of chips and y bananas?
Total cost, 4 bags of chips and 5 bananas:
Total cost, x bags of chips and y bananas:
Submit Answer
attempt 2 out of a problem 1 out of maxi
Answer:
1- 12.20$
2- 1.30$ + 1.40y$
3- 1.3x + 1.4y
Step-by-step explanation:
input unknown values using x and y
can i have some help pls
Answer:
the first recipe
Step-by-step explanation:
We can answer by finding the ratio of nuts to cereal. The one that has the higher ratio of nuts to cereal is the nuttier one.
Recipe 1: 2 1/2 cups of nut per 5 cups of cereal.
nuts to cereal ratio = 2 1/2 : 5 = 1 : 2
Recipe 2: 1 cups of nuts per 3 cups of cereal.
nuts to cereal ratio = 1 : 3
1 : 2 is a higher ratio than 1 : 3
Answer: the first recipe
plz help on a timed test will pay 10 points and make brainlest
What other countries have set up early earthquake warning systems? Which of these countries are in the Ring of Fire? Why is it important for these Ring of Fire countries to have warning systems?
Answer:
Mexico, Japan, South Korea, Taiwan, and the United States, Chile, Japan, the US west coast; Chile, Japan, the US west coast; So all that is left for the people who live around the Ring of Fire is to be aware of the danger, perhaps to live further inland, build safer, earthquake-resistant housing, and for nations everywhere to improve oceanic and land-based early-warning systems to help minimize the risk to life
Step-by-step explanation:
in which town does the total number have meaning
PLEASE HURRY WILL GIVE BRANLESIT
Function 1 is represented by the equation y = 6x + 25
Function 2 is represented by the table.
x y
5 31
10 41
15 51
20 61
Which statement about the two functions is true?
The rate of change for Function 2 is 5 times the rate of change for Function 1.
The rate of change for Function 2 is three times the rate of change for Function 1.
The rate of change for Function 2 is one third the rate of change for Function 1.
The rate of change for Function 2 is the same as the rate of change for Function 1.
Answer:
The rate of change for Function 2 is one third the rate of change for Function 1.
Please mark brainliest if possible :)
Helpppppppppppppppppppppppp
[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]
help me please someone
=========================================================
Explanation:
Part A
Ignore the g(x) curve. We're looking for the intersection of the p(x) and f(x) curves. The two cross at (-3,-3) which is the solution to the system of these two equations. This point is on both p(x) and f(x) simultaneously. That means the coordinates of the point satisfy both p(x) and f(x) equations simultaneously.
------------------------
Part B
Pick any two points you want from the f(x) curve. You could pick the solution we mentioned, but I'll go for (0,0) and (2,2). When talking about a single curve, it has infinitely many solutions (as long as you pick a point on the curve).
------------------------
Part C
Ignore the f(x) curve. The graphs of p(x) and g(x) intersect when x = -6, which is the solution to the equation p(x) = g(x). We're only concerned about the x coordinate of the intersection.
Find the surface area of this cubiod
Answer:
surface area is 2(lb + bh + lh)
I think this is the right formula
Answer:
Total surface area = 62 cm^2.
Step-by-step explanation:
There are 2 faces each of area 2 * 3 = 6, = 12 cm^2.
There are 2 faces each of area 10, = 20 cm^2.
There are 2 faces each of area 15, = 30 cm^2.
12 + 20 + 30 = 62 cm^2.
evaluate the expression when a=4 and b=-3.
-a+7b
Answer:
-4+7x-3=-21+-4=-25
Step-by-step explanation:
Evaluate. (2a−1/3)÷b/15 when a=−4/5 and b=−2.25 Enter your answer as a simplified mixed number in the box.
A solid right square prism is cut into 4 equal pieces parallel to its bases. The
volume of each piece is V = 1/4s2h.Solve the formula for s
Answer:
Step-by-step explanation:
If the volume of each piece is V = 1/4s²h then formula for s is 2√V/h
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that a solid right square prism is cut into 4 equal pieces parallel to its bases
The volume of each piece is V = 1/4s²h.
We have to solve for s
4V/h=s²
Take square root on both sides
√4V/h = s
2√V/h = s
Hence, if the volume of each piece is V = 1/4s²h then formula for s is 2√V/h
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If x^4 - y^4 = 24, and x^2 - y^2 = 8, what is the value of x^2 + y^2 ?
Show work
Answer:
Step-by-step explanation:
U
Answer:
3
Step-by-step explanation:
[tex]x^4-y^4=(x^2)^2-(y^2)^2=(x^2-y^2)(x^2+y^2)\\24=8(x^2+y^2)\\x^2+y^2=\frac{24}{8}\\x^2+y^2=3[/tex]
What is 2 3/8 - 1 5/8 =
2 3/8 - 1 5/8
19/8 - 13/8
6/8
3/4
The answer is 3/4
Sub 2 Raging Sushi plz
Answer:
3/4
Step-by-step explanation:
Evaluate 10.5s + 9.9t when s=3 and t = 4
Answer:
71.1
Step-by-step explanation:
Answer:
71.1 is the answer
Step-by-step explanation: