Answer:
2430
Step-by-step explanation:
The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:
The break even price is at $1 and $5To maximize his revenue, he as to charge $3The most money he can make is $160He charged $4.225 or $1.775 to make $100.Given that:
[tex]R = (p - 1)(200 - 40p)[/tex]
To calculate the break even, we set R to 0.
So, we have:
[tex](p - 1)(200 - 40p) =0[/tex]
Split
[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]
Solve for p
[tex]p = 1[/tex] or [tex]40p = 200[/tex]
Divide by 40 in the second equation
[tex]p=1[/tex] or [tex]p =5[/tex]
The break even price is at $1 and $5
To maximize his revenue, we have:
[tex]R = (p - 1)(200 - 40p)[/tex]
Open bracket
[tex]R = 200p - 200 - 40p^2 + 40p[/tex]
Rewrite as:
[tex]R = - 40p^2+ 200p + 40p- 200[/tex]
[tex]R = - 40p^2+ 240p- 200[/tex]
Differentiate
[tex]R' = -80p + 240[/tex]
Equate to 0 and solve for p
[tex]-80p + 240=0[/tex]
[tex]-80p =- 240[/tex]
Divide by -80
[tex]p = 3[/tex]
To maximize his revenue, he as to charge $3
The most money he can make is calculated as:
[tex]R = (p - 1)(200 - 40p)[/tex]
Substitute [tex]p = 3[/tex]
[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]
[tex]R = (3 - 1)(200 - 120)[/tex]
[tex]R = 160[/tex]
The most money he can make is $160
The charges he sold when he made $100 is:
[tex]R = - 40p^2+ 240p- 200[/tex]
Substitute 100 for R
[tex]- 40p^2+ 240p- 200=100[/tex]
Collect like terms
[tex]- 40p^2+ 240p- 200-100=0[/tex]
[tex]- 40p^2+ 240p- 300=0[/tex]
Divide through by -20
[tex]2p^2- 12p+ 15=0[/tex]
Using quadratic formula, the solution of p is:
[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]
So, we have:
[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]
[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]
[tex]p = \frac{12 \± 4.90 }{4}[/tex]
Split
[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]
[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]
[tex]p = 4.225\ or\ p = 1.775[/tex]
He charged $4.225 or $1.775 to make $100.
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The price of a sweater was reduced from $20 to $12, By what percentage was the price of the sweater reduced?
Answer:
40%
Step-by-step explanation:
12 ÷ 20 = .6
You can convert the .6 to a percentage by multiplying it:
.6 x 100 = 60%
If 12 is 60% of 20, then that means 40% was taken away.
Price of the sweater was reduced by 40%.
Given in the question,
Original Price of a sweater is $20.Price of the sweater was reduced from $20 to $12.Percentage reduction in the price from $20 to $12 can be calculated from the expression,
Percentage reduction = [tex]\frac{\text{Change in price}}{\text{Original price}}\times 100[/tex]
= [tex](\frac{20-12}{12})\times 100[/tex]
= [tex]\frac{8}{12}\times 100[/tex]
= 40%
Therefore, price of the sweater was reduced by 40%.
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Lindy owes her friend Amanda$3. If she borrows another $6, how much will she owe altogether?
Answer:
9
Step-by-step explanation:
add 3 and 6
Determine the number that can be used in place of the question mark to make the
equation true.
3^? = 27
Answer:
3
Step-by-step explanation:
You just divide 27 by 3, then divide that answer by 3, and keep doing that until you get to 1:
27/3
9
9/3
3
3/3
1
3^x = 27
3^3 = 27
3 x 3 x 3 = 27
9 x 3 = 27
27 =27
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb of apples?
Answer:
There are 4 small apples in 1 lb of apples.
Step-by-step explanation:
From the information given, you know that a bushel of small apples contains twice as many apples as a bushel of large apples. So, in order to know the amount of apples in a bushel of small apples you have to multiply the number of apples in a bushel of large apples by two:
84*2=168
Now, you can use a rule of three to find the number of small apples in 1 lb of apples given that you know that each bushel of apples that has 168 small apples weighs 42 lbs:
168 apples → 42 lbs
x ← 1 lb
x=(168*1)/42= 4
According to this, the answer is that there are 4 small apples in 1 lb of apples.
Answer:
4 small apples in 1lb of apples I think
Step-by-step explanation:
Please help it would help me alot!!!
Answer: Total cost for 1 ride = $11. Total cost for 2 rides = $14. Total cost for 3 rides = $17. Total cost for 4 rides = $20. Total cost for 5 rides = $23
Step-by-step explanation:
find all integers x satisfying each of the following congruences mod n. if no such x exists, explain why not
Answer:
please find the solution:
Step-by-step explanation:
please find the correct question:
Given value:
[tex]\to 4x \equiv 2(mod\ n) \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ n=6\\\\\to 4x \equiv 2 (mod 6)[/tex]
[tex]\to 4x-2[/tex] should be divisible by 6 we are also given that [tex]0 \leq x < n[/tex] and start with x = 0
[tex]\to 4x-2[/tex] =-2 which is not divisible by 6
x= 1
[tex]\to 4x-2[/tex] = 2 not divisilble by 6
x= 2
[tex]\to 4x-2[/tex] = 6 which is divisible by 6
x=3
[tex]\to 4x-2[/tex] = 10 not divisible by 6
x=4
[tex]\to 4x-2[/tex] = 14 not divisible by 6
x=5
[tex]\to 4x-2[/tex] = 18 which is divisible by 6
so such x are x = 2 and x = 5
This mini-Statue of Liberty is 5.2 inches from her feet to the top of her fingertips. How big is her nose on the mini-statue?
Answer:
5
Step-by-step explanation:
2=3
In the problem below, which line contains an
error?
Line 1: 6x - 2(x + 5) = 22
Line 2: 6x - 2x - 10 = 22
Line 3: 8x - 10 = 22
Line 4: 8x = 32
Line 5: x=4
a) Line 2
b) Line 3
c) Line 4
d) Line 5
The graph shows the cost C in dollars of W pounds of blueberries a proportional relationship. select all the true statements
A 1 pound of blueberries cost $2.75
B 2.75 pounds of blueberries cost $1
C 5pounds of blueberries cost $15
D 12 pounds of blueberries cost $33
E The point (3,9) is on the graph of the proportional relationship
Answer:
A, D
Step-by-step explanation:
Cost ($) = C
lbs (Blueberries) = W
One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.
6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.
To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.
2.75 * 5 is 13.75 (This means C is wrong)
Do the same but with 12 for D
2.75 * 12 is 33, so D is correct
You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)
Hope this helps! ^_^
A linear graph is represented by a straight line
The true options are:
A. 1 pound of blueberries cost $2.75 D. 12 pounds of blueberries cost $33The points on the graph are:
[tex]\mathbf{(x_1,y_1) = (0,0)}[/tex]
[tex]\mathbf{(x_2,y_2) = (6,16.50)}[/tex]
The slope (m) of the graph is:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{16.50 - 0}{6-0}}[/tex]
[tex]\mathbf{m = \frac{16.50}{6}}[/tex]
[tex]\mathbf{m = 2.75}[/tex]
The above means that: 1 pound of blueberries costs $2.75
Hence, (a) is true, and (b) is false
Multiply 2.75 by 5, to get the cost of 5 blueberries
[tex]\mathbf{C(5) = 2.75 \times 5=13.75}[/tex]
This means that: (c) is false
Multiply 2.75 by 12, to get the cost of 12 blueberries
[tex]\mathbf{C(12) = 2.75 \times 12=33}[/tex]
This means that: (d) is true
(e) is false, because:
[tex]\mathbf{\frac{9}{3} \ne 2.75}[/tex]
Hence, the true options are: (a) and (d)
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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.
a
How many hours would it take to fill the order if the number of working machines decreased by factor of 2?
Answer:
44 hours
Step-by-step explanation:
just do 22 x 2
- 8n - 8 = -72
I don’t know how to do this
Answer:
n=8
Step-by-step explanation:
Add 8 to both sides of the equals sign, then bring down -8n, add -72+8, You'll get -64, lastly you divide -64 and -8, and you'll get your answer
- You invest $1,000 in a stock market index fund that earns 8% compounded annually overa
10-year period (a simplified example since stock market returns vary year to year). How
much would your investment be worth after this 10-year period?
A. $1,080
B. $1,800
C. $2,000
D. More than $2,000
Answer:
I believe c
Step-by-step explanation:
I believe this because if you invest in stock for ten years as on this paragraph the answer is C
Option D is correct. we worth more than $2000 after 10 year period.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that You invest $1,000 in a stock market index fund that earns 8% compounded annually over a 10-year period.
We have to find the investment be worth after this 10-year period.
A=P(1+r)ⁿ
P is the initial amount
r is rate of interest
n is the time
A=1000(1+0.08)¹⁰
A=1000(1.08)¹⁰
A=1000×2.1589
A=2158.9
Hence, option D is correct. we worth more than $2000 after 10 year period.
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78.540 round to the nearest hundred
Answer:
78.5
Step-by-step explanation:
If y = –4 when x = 10, find y when x = 5.
Answer:
y=2
Step-by-step explanation:
y/x = k
Given y =4, x = 10 , It can be expressed as the ratio is 4/10. We set the other as y/5. By the definition two ratios are equal. 4/10 = y/5 . Multiply to each side by 5. 4/10*5 = y/5*5 . 20/10 = y
y = 2
Answer: y=2
Step-by-step explanation: If 10=4, then 5 equals 4 divided by 2, which equals 2.
Hopefully this helped! :D
PLEASE HELP! I NEED ANSWERS! 8-11 FIND THE RELATIONSHIP
Answer:
8. complementary 9. linear pair 10. adjacent 11. vertical
Step-by-step explanation:
4 tens + 14 ones = 5 tens + ___ ones
Answer:
4 becuase 40+14 = 54 so 50+4= 54 too
Step-by-step explanation:
HOPE THIS HELPS :)what value of x will make the equation f(x)=6 true ?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]f(x) = 6[/tex]
Required
Solve for x
The question is incomplete as the function f(x) is not given.
However, the following explanation will guide you
As a point of reference, we assume that f(x) is:
[tex]f(x) = 2x + 4[/tex]
To solve further, we substitute 6 for f(x)
[tex]6 = 2x + 4[/tex]
Then, we solve for x
[tex]2x = 6 - 4[/tex]
[tex]2x = 2[/tex]
Divide through by 2
[tex]x = 1[/tex]
So, in your case.
All you need to do is substitute 6 for f(x) then solve for x
As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.
How many squares should he use for the sixth stage?
Answer:
15 square for six stage
Answer:
21
Step-by-step explanation:
stage 1: 1
stage 2: 3
stage 3: 6
the pattern is that the number of squares increases everytime by the stage number it is. for example stage 2 has 3 squares. to find stage 3 you start off with 3 squares (from stage 2), and add the stage number (stage 3). 3+3=6 so stage 3 has 6 squares.
stage 4: 10 (6+4)
stage 5: 15 (10+5)
stage 6: 21 (15+6)
One box of pencils costs rupees 28 . What is the cost of 509 boxes
One box of pencils costs rupees 28 . What is the cost of 509 boxes
Given:1 pencil costs=₹281 pencil costs=₹28No. of boxes=509We know:Costs of total no. of pencil boxes
=1 pencil box's costs×No. of boxes
=509×28
=14252✓
A shipping container is in the shape of a right rectangular prism with a length of 2 feet, a width of 5 feet, and a height of 1.5 feet. The container is completely filled with contents that weigh, on average, 0.72 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
102 pounds
Step-by-step explanation:
Answer:
11 ibs
Step-by-step explanation:
f(x) = x^3- 9x
What is the average rate of change of f over the interval [1, 6]
Answer:
Step-by-step explanation:
[tex]\frac{f(b)-f(a)}{b-a}[/tex] This is the formula for the average rate of change
over the interval (a, b)
a and b are x values
f(a) ad f(b) think of them as y values
Start calculating f(a) and f(b) a=1 b=6
replace all x's in formula with a, (1)
f(1)=1³-9(1) = 1-9= -8 f(1) = -8
Now do : b (6)
f(6) = 6³ - 9 (6) = 216-54=162 f(6) = 162
now plug everything into your equation
[tex]\frac{f(6)-f(1)}{6-1} =\frac{162- (-8)}{5} =\frac{170}{5} =34[/tex] average rate of change.
notice the 162 - (-8) In math there is no subtraction, and you would change it to + and when you do that you much change the sign of the next value making -8 a +8.
Hope this helps. Good luck!
Which postulate or theorem proves that A CFE and ADFE are congruent? o OSSS Congruence Postulate O SAS Congruence Postulate O AAS Congruence Theorem O ASA Congruence Postulate 1 2
Answer:
Option (1)
Step-by-step explanation:
Given:
CF ≅ DF
CE ≅ DE
To prove:
ΔCFE ≅ ΔDFE
Solution:
From ΔCFE and ΔDFE,
Statements Reasons
1). CF ≅ DF 1). Given
2). CE ≅ DE 2). Given
3). FE ≅ FE 3). Reflexive property
4). ΔCFE ≅ ΔDFE 4). By SSS property of congruence
Therefore, SSS postulate of congruence will be the answer.
Option (1) will be the answer.
Answer:
the correct answer is sas
Step-by-step explanation:
took the test
Sarah writes 4 songs. Ronnie writes 6 more songs than Sarah Paul writes 2 times as many songs as Sarah
Answer:
Sarah: 4 songs
Ronnie: 10 songs
Paul: 8 songs
Step-by-step explanation:
how long does it take an airplane if it files a distance of 2000 miles at a rate of 500mph
Answer:
4 hours
Step-by-step explanation:
We can find the time using the formula [ t = d/s ] where d = distance and s = speed.
t = 2000/500
t = 4 hours
Best of Luck!
Factorise fully
48 + 6x
please do quick it's due In 2 min
Answer:
6(8+x)
Step-by-step explanation:
Notice that the constant and the coefficient have a greatest common factor of 6. Therefore, we can just factor the 6 out to get 6(8+x).
Answer:
6(x+8)Step-by-step explanation:
[tex]48 + 6x\\\\\mathrm{Rewrite\:}48\mathrm{\:as\:}6\times\:8\\\\=6x+6\times\:8\\\\\mathrm{Factor\:out\:common\:term\:}6\\\\=6\left(x+8\right)[/tex]
if $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in 3 years ?
Answer:
154.44
Step-by-step explanation:
What is 13% of 396?
Y is 13% of 396
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 13% * 396
Converting percent to decimal:
p = 13%/100 = 0.13
Y = 0.13 * 396
Y = 51.48
Now multiply by 3 (amount of continuous years)
51.48 * 3
=154.44
Hope it helps!
If a1=2 and an=an-1+5 then whats the value of a5
Answer:
a5=10
Step-by-step explanation:
a1=2 a2=4 a3=6 a4=8 a5=10
The value of the 5th term of the arithmetic sequence will be 22.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
The value of the first term is 2. Then the value of the 5th term is calculated as,
a₂ = a₁ + 5
a₂ = 2 + 5
a₂ = 7
a₃ = a₂ + 5
a₃ = 7 + 5
a₃ = 12
a₄ = a₃ + 5
a₄ = 12 + 5
a₄ = 17
a₅ = a₄ + 5
a₅ = 17 + 5
a₅ = 22
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A faucet drips 2/5 gallon of water in 3 1/2 hours. What is the unit rate of water dripped per hour?
Answer: Unit rate = 4/35 of a gallon per hour
=============================================
Work Shown:
3 & 1/2 = 3 + 1/2
3 & 1/2 = 6/2 + 1/2
3 & 1/2 = (6+1)/2
3 & 1/2 = 7/2
The faucet drips 2/5 of a gallon in 7/2 hours
2/5 gallon : 7/2 hours
2*(2/5 gallon) : 2*(7/2 hours) ..... multiply both sides by 2
4/5 gallon : 7 hours
(1/7)*(4/5 gallon) : (1/7)*(7 hours) ... multiply both sides by 1/7
4/35 gallon : 1 hour
The unit rate is 4/35 of a gallon per hour.
"Per hour" means "every 1 hour".
Instructions
All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4.b)
(2, 2)
What is the slope
Alice has x dollars in her bank account. She deposits $75 in her account. After the deposit, the account has $550. Write an equation that could be used to figure out how much money was in her account before the deposit.
Answer:
$475
Step-by-step explanation:
$550 - $75 = $475
$475 = x
Answer:
The answer would be $550-$75
Step-by-step explanation:
This would give you how much money was in her account before she adds the deposit.