Ahmad and Dante wash cars in the neighborhood and charge $5 per car. Last year, they worked very hard and were able to wash 450 cars in the year. They have done a little market research and found that for every $0.20 that the price is reduced, they can get 50 more customers.
2. a. Model the relationship between the number of $0.20 price decreases and the amount of money earned using an equation, table, and graph.
Answers
The model for the relationship between the number of $0.20 price decrease, x, to the amount of money earned, E, is presented by the following equation;
E = -10•x² + 160•x + 2250Please find attached the values of the model in the attached table and graph of the model.
How can the equation of the model be found?Let x represent the number of $0.20 price decrease and let E represent the total amount earned (the revenue), we have the following revenue equation;
E = Amount earned = Number of cars washed × The price to wash one carHowever;
When the number of cars washed = (450 + 50•x)
The price to wash one car = (5 - 0.2•x)
Therefore;
E = (450 + 50•x) × (5 - 0.2•x)Which gives the following equation;
E = -10•x² + 160•x + 2250Please find the attached table and graph created using the above equation for the amount earned per year.
From the graph, the maximum amount is earned when the price is reduced by $0.20, eight times to give;
Optimum price = 5 - 0.2×8 = 3.4
The optimum price = $3.4The number of cars washed at the optimum price = 850The maximum amount earned = $2890Learn more about how to find the revenue function here:
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Related Questions
Find the minimum value of
C = 2x + y
subject to the following constraints:
2x + 3y 2 24
4x + y 2 38
X>0
y 20
C = [?]
Answers
Answer:it’s 20
Step-by-step explanation:
Solve the inequality: (x-3) 1/2+2 ≥4 A) x ≥ 11 B) x ≥ 7 C) x ≥ 13 D) x ≥ 35
Answers
The solution to the inequality will be x ≥ 7. The correct option is B.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given inequality (x-3) 1/2+2 ≥4 will be solved as below:-
(x-3) 1/2+2 ≥4
( x / 2 ) - ( 3 / 2 ) + 2 ≥ 4
( x - 3 ) / 2 + 2 ≥ 4
( x - 3 ) / 2 + 2 ≥ 4
( x - 3 ) + 4 ≥ 8
x + 1 ≥ 8
x ≥ 8 - 1
x ≥ 7
Therefore, the solution to the inequality will be x ≥ 7. The correct option is B.
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number 15 please
logarithms
algebra two
Answers
Answer:
hope this helps
Step-by-step explanation:
look at the picture
A 208 inch pipe is cut into two pieces one piece is three times the length of the other find the length of the shorter piece
Answers
The length of the shorter piece is 52 inches.
How to find the length of the shorter piece?A 208 inch pipe is cut into two pieces one piece is three times the length of the other .
let
the shorter length piece = x
Therefore,
length of the longer piece = 3x
The length of the shorter piece can be calculated as follows:
x + 3x = 208
4x = 208
divide both sides by 4
4x / 4 = 208 / 4
x = 52
Therefore, the length of the shorter piece is 52 inches.
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A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 8 cm more than the shorter leg and the hypotenuse 16 cm more than the shorter leg. what’s the perimeter of the triangle ?
Answers
The perimeter of the triangle is 3x + 24 cm.
What is the perimeter of the triangle?A right triangle is a three-sided triangle that is made up of a length, base and the hypotenuse. The hypotenuse is the longest side of the right triangle The sum of the square of the two other sides of the triangle is equal to the square of the hypotenuse. The sum of angles in a right triangle is 180 degrees.
The perimeter of a right triangle is the sum of the length of the three sides of the triangle.
Perimeter = hypotenuse + base + height
Base = x Height = 8 + x Hypotenuse = 16 + xPerimeter = x + 8 + x + 16 + x
3x + 24 cm
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A parachutist's elevation changes by - 77 ft in 7 seconds. What is the change in the parachutist's elevation each second?What is the change in the parachutists elevation changes feet each second.
Answers
Answer:
-11 feet per second
Step-by-step explanation:
Answer:
Step-by-step explanation:
I Honestly don't know i'm only on here to get answers.
I will mark brainlest
Answers
4^3 = 64
4^2 = 16
4^1 = 4
4^0 = 1
(-2)^3 = -8
(-2)^2 = 4
(-2)^1 = -2
(-2)^0 = 1
4^3=12
that should be the answer
PLEASE HELP!!! PLATO ALGEBRA 2
Answers
Answer:
(gof) (4) = 9
Hence, option A is true.
Step-by-step explanation:
f(x)=-x³
g(x)=|1/8x -1|
(gof) (4) = g{f(4)}
First wee need to determine f(4)
f(4)=-(4)³
= -64
so
(gof) (4) = g{f(4)} = g(-64)
= [tex]\left|\frac{1}{8}\left(-64\right)-1\right|[/tex]
[tex]=\left|-\frac{1}{8}\cdot \:64-1\right|[/tex]
[tex]=\left|-8-1\right|[/tex]
[tex]=\left|-9\right|[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex]
[tex]=9[/tex]
Thus,
(gof) (4) = 9
Hence, option A is true.
Sep 18, 4:16:44 PM
A middle school took all of its 6th grade students on a field trip to see a symphony at
a theater that has 4100 seats. The students filled 2296 of the seats in the theater.
What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
The percentage of seats in the theatre that were filled by the 6th graders on the trip will be 56 %.
We are given that:
Total number of seats in the Symphony theatre = 4100 seats
The number of 6th grade students who filled the seats in the Symphony theatre = 2296
Now, we need to find the percentage of seats that were filled by the 6th grade students on the trip.
Percentage of 6th grade students = 2296 / 4100 × 100
Percentage of 6th grade students = 56 %
Therefore, we get that, the percentage of seats in the theatre that were filled by the 6th graders on the trip will be 56 %.
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9err9jwihwr9ihwrighiwrrghihsrhrgishfgisif10101
Answers
Answer:
yes
Step-by-step explanation:
...
Plz help ASAP I’ll give brainliest 47 minutes to answer hurry
5
6
7
8
10
Ray created the list of factors for 48 below.
48: 1, 2, 3, 4, 6, 7, 8, 12, 16, 24, 48
Which number should be removed from his list to make the list accurate?
7
ОООО
16
Answers
Answer:
the factors of 48 are 1 2 3 4 6 7 8 12 16 24 48
X The temperature, C, in degrees Celsius recorded by a city park's weather station between midnight and 7:00 a.m. could be represented as a linear function of the number of hours after midnight, t. The temperature at 1:30 a.m. was – 4.2°C and was -8.6°C at 7:00 a.m. Which equation could be used to represent this function? (1 point) O C (t) = -0.8t – 4.2 OC (t) = -1.25t - 8.6 OC (t) = -0.8t - 3 OC (t) = -1.25t - 4.2
Answers
Answer:
C(t) = -0.8t - 3
Step-by-step explanation:
We are told that the temperature at 1:30 a.m. was – 4.2°C and was -8.6°C at 7:00 a.m.
Thus, difference in temperature is;
ΔT = -8.6°C - (-4.2°C)
ΔT = -8.6°C + 4.2°C
ΔT = -4.4°C
Now, number of hours between 1:30 a.m and 7:00 a.m is 5.5 hours.
Thus, average temperature per hour is;
-4.4/5.5 = -0.8°C/h
Now, since C is represented as a linear function of the number of hours after midnight, t.
Then the linear function is -0.8t + x = C(t)
Let's find x.
After 1.5 hours, we have -4.2°C. Thus;
-0.8t + x = -4.2
-0.8(1.5) + x = - 4.2
-1.2 + x = -4.2
x = -4.2 + 1.2
x = -3
Thus, the linear relationship is now;
C(t) = -0.8t - 3
ANSWER IT CORRECTLY FOR BRAINLIEST Amelia built a scale model of a float, using the scale 48:7. The measurements of the actual float are given in this table.
What is the length of the scale model of the float?
Drag and drop a number into the box.
Measurements are rounded to the nearest inch.
Length of float (in.)
Actual Measurements
Dimension Measurement
Length 97 inches
Width 54 inches
Height 72 inches
Answers
Answer:
The third one :)
Step-by-step explanation:
PLS HALP ASAP WILL GIVE BRAINLIEST FOR BEST ANSWER!!!
Steve set up a business making friendship bracelets. He earned $70 in January. He is projected to earn 120% more in February. How much is Steve projected to make in February? (1 point)
Question 30 options:
1)
$84
2)
$98
3)
$154
4)
$190
Answers
Answer:
70+120/100x70(1+100/100)=(100/100+120/100)= 220/100 hope helps you
Step-by-step explanation:
Answer:
154 dollary doooos
Step-by-step explanation:
Annabelle reads 3/4 of a page/minute. How many pages can Annabelle read in 20 minutes?
Answers
Answer:
she can read 15 pages
Step-by-step explanation:
Use the graph or table to find the equation that represents the relationship. PLLSSS HELPPPPP
Answers
The equation that is shown by the table is y = 3x - 5
How to use the graph or table to find the equation that represents the relationship?The given parameter is the complete table
From the table, we have the following points
(2, 1) and (1, -2)
Calculate the slope using
m = (y2 - y1)/(x2 - x1)
This gives
m = (-2 - 1)/(1 - 2)
Evaluate
m = 3
The linear equation is represented as
y = m(x - x1) + y1
So, we have
y = 3(x - 2) + 1
Open the bracket
y = 3x - 6 + 1
Evaluate the like terms
y = 3x - 5
Hence, the equation that is shown by the table is y = 3x - 5
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I’m stuck but the next drop down is above or below
Answers
Answer:
less; below
Step-by-step explanation:
We can change both fractions to improper fractions first for easier comparison.
-[tex]\frac{7}{5}[/tex] = -
-1[tex]\frac{1}{5}[/tex] = -[tex]\frac{5}{5}[/tex] -
-1[tex]\frac{1}{5}[/tex] = -[tex]\frac{6}{5}[/tex]
As you can see, -[tex]\frac{7}{5}[/tex] has a higher absolute value but both fractions are negative so it has a lesser value than -[tex]\frac{6}{5}[/tex] and thus would also be below -[tex]\frac{6}{5}[/tex].
2x (3 x |4O - (0 x 2)]) = ?
Answers
Answer:
6ox5 i hope its ok and if you tink and want you can give me a brainly crown
Step-by-step explanation:
Hope this helps and merry Christmas!!
X + 8 + 2x <= 2x + 13
<= this symbol means greater than or equal to
I would like it step by step
Answers
Answer:
x<=5Step-by-step explanation:
x+8+2x <= 2x +13
x+8<= 13
x<=5Answer:
X <= 5
Step-by-step explanation:
Combine like terms
3x + 8 <= 2x + 13
subtracg 2x from both sides to get all the x’s on One side
x + 8 <= 13
subtract 8 from both sides to get x by itself
x <= 5
A machinery was bought at RS 60,000.Its value is depreciated at the rate of 5% per annum. Find its value after one year.
Answers
Answer:
Rs57,000
Step-by-step explanation:
If its value depreciates at 5%p.a then only 95% of the original value(100%) is left.
Therefore its value=95/100×Rs60000=Rs57,000
Kaitlyn rented a movie with a due date of Tuesday. There is a late fee of $5 for each day late that the movie is returned. Kaitlyn returned the
movie on Saturday, four days late. Write an expression to show how much Kaitlyn owes the movie rental shop and solve.
Answers
Answer:
5x=20
Step-by-step explanation:
Kaitlyn was 4 days late. You substitute X for 4 and then multiply. Since it's $5 for each day late, and she turned it in 4 days late, the total fee is $20.
at the local fair one barn is displaying chickens and rabbits. there are 140 chickens and 160 rabbits. each animal is in its own cage the cages will be arranged in equal rows without mixing animal types. what is the greatest number of animals that can be in each row.
Answers
Answer:
the answer would be 10 animals in each row without mixing up the animals
Step-by-step explanation:
In a really exciting part of the book, the student read 18 pages in one sitting. For how many minutes did she read?
Answers
It depends on the average reading speed of a person, it is usually from 60s or 1min per page.
Saturday morning Brett made one batch of orange juice with 1 cup of concentrate and 4 cups of water. What percent of the batch was water? Show your work or explain your reasoning to justify your answer.
Answers
Answer:
80% of the batch is water.
Step-by-step explanation:
If 1/5 of the batch is concentrate, that leaves 4/5 of the batch being water. 4/5 simplifies out to .8, which is 80%.
Whoever answers gets brainlist!
Answers
Answer: 2 4/5, 3 2/3, 5 2/3, 2 1/2, 3 1/3 part2; 9/2, 49/5,
Step-by-step explanation:
simplify completely (32/9t)-(5/9t)
Answers
Answer:
[tex]\frac{3}{t}[/tex]
Step-by-step explanation:
[tex]\frac{32}{9t}[/tex] - [tex]\frac{5}{9t}[/tex] Since we have a common denominator, we just subtract 5 from 32
[tex]\frac{27}{9t}[/tex] I can simplify by dividing the top and bottom number by 9
[tex]\frac{3}{t}[/tex]
A text message plan costs $4 per month plus $0.48 per text. Find the monthly cost for x text messages.
Answers
The ratio of boys to girls in a class is 4:5
What fraction of the class are boys?
What fraction of the class are girls?
Answers
Answer:
4/9 for boys and 5/9 for girls
explanation:
there are 4 boys and 5 girls
so there are nine in total
if there are four boys and 9 in total then the fraction would be 4/9
and if there are 5 girls and 9 in total then the fraction would be 5/9
hope this helps and it plays Mark brainliest :D
On a space shuttle mission a certain experiment is started two days 14 hours and 30 minutes into the mission the experiment takes one day 21 hours and 47 minutes to run when will the experiment be completed give your answer in days hours and minutes into the mission work with a sort of expanded form
Answers
The experiment will be completed in 4days + 12hours + 17min .
In the given question
The experiment was started 2days + 14hours + 30min ago
It will take 1day + 21hours + 47min more to complete the experiment .
The total time taken to run the experiment is
= (2days + 14hours + 30 min) + (1day + 21hours + 47min)
On adding the like terms we get
= (2+1)days + (14+21)hours + (30+47)min
=3 days + 35hours + 77min ...(i)
We know that
24 hours = 1 day
So , 35hours can be written as 24hours + 11hours.
35hours = 24hours + 11hours ...(ii)
We also know that
60 min = 1hour
So , 77min can be written as 1hour + 17min
77min = 60min + 17min
77min = 1hour + 17min ...(iii)
Substituting the value of equation (ii) and (iii) in (i) we get ,
Total time = 3 days + 24hours + 11hours + 1hour + 17min
=3 days + 1day + 11hours + 1hour + 17min ...(as 24hours = 1day )
On adding the like terms we get
= 4days + 12hours + 17min
Therefore , the experiment will be completed in 4days + 12hours + 17min .
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find the value of y. this is dud tdy help plss
Answers
Answer:
y is B. 82 degrees (and for extra, x is 54 degrees)
Step-by-step explanation:
The angles shown are complementary, which means they equal 180 degrees. Subtract 73 from 180 to get 107 degrees for the other angle in this set. After that subtract 25 from 107 to get y, which is 82 degrees.
(For x, just subtract 19 from 73 to get 54 degrees.)