Answer:
y = 5.25x + 4
Step-by-step explanation:
(hours, money)
(6, 34.50)
(8, 46.00)
Slope: change in y/change in x
11.5/2
5.25
Y - intercept: b
46 = 5.25(8) + b
46 = 42 + b
4 = b
Put it all together
Dave owns Dave's Donut Shop and must make decisions about how much to charge for donuts. As a businessowner he wants to attract a lot of customers as well as make a lot of money (revenue). The amount of revenue Dave makes can be modeled by the equation R = (p-1)(200 - 40p), where p represents the price of one donut and R represents the total revenue. Use as many strategies as you can to figure out the questions below. 0 At what price will Dave break even (make no revenue)? How much should Dave charge to maximize his revenue? What is the most money Dave can make? Dave made $100 from donut sales. How much must he have charged per donut?
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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I'm doing sine, cosine, and tangent and I don't know what an opposite is in the triangle so if anyone can explain it in the most simple terms possible, that'd be great
Step-by-step explanation:
okay so basically when you have a triangle, the side that is directly across from the angle you are looking for is the "opposite". here is an attachment.
The ratio of chocolate
chip cookies to total
cookies on a tray is 3:5.
What percent of the tray
is chocolate chip
cookies?
Answer:
The percent is 75%
Step-by-step explanation:
Please help
Answer
Answer:
STEP 3.) x = 9/8
Step-by-step explanation:
x + 5/8 = 7/4
x + 5/8 - 5/8 = 7/4 - 5/8
= x =9/8
Maria makes money
by commission rates.
She gets 15% of
everything she sells. If
Maria sold $23,000
worth of items this
month, what is her
salary for the month?
Show your work on
the slide!
Answer:
Monthly salary = $3450
Step-by-step explanation:
In this problem, it is given that, Maria gets 15% of everything she sells. If Maria sold $23,000 worth of items this month, we need to find her salary for the month.
It means we need to find the 15% of $23,000 to find her salary. Let the salary be x.
ATQ,
[tex]x=15\%\ \text{of}\ 23000\\\\x=\dfrac{15}{100}\times 23000\\\\x=\$3450[/tex]
Hence, her salary for the month is $3450.
Salary of Maria for the month is $3,450
Given that;
Amount of item sold by Maria = $23,000
Percentage of commission = 15%
Find:
Salary of Maria for the month
Computation:
Salary of Maria for the month = Amount of item sold by Maria × Percentage of commission
Salary of Maria for the month = $23,000 × 15%
Salary of Maria for the month = $3,450
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Evalute each expression for s=4 and t=8
1) (s+t)^3
2) s^4+t^2+5/2
3) (st)^2/(st^2)
Answer:
1) 1728
2)322.5
3)4
............
Find the
median
75,75,75,75,90,95,100,100,110,110,136, 136,136,136,180, 180,180
180,180,180
Answer:
110
Step-by-step explanation:
self explanatory
you just purchased a new hooded sweatshirt for $24. the total cleaning cost is $2 total because it will be washed with other sweatshirts. you will wear the sweatshirt 18 times this winter. calculate the cost per wearing.
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
I need help please
which time has the definition the location where the X and Y axis intersect the ordered pair is (0,0)"? A Ordinate B Abscissa C Origin D Quadrant
(6+4)(-12)
QUICKLYYYYY I NEED TO KNOW WHAT THE ANSWER IS!
Answer:
-120
Step-by-step explanation:
Answer:
-120
Step-by-step explanation:
First solve the parenthesis which leaves you with the equation.
10 × -12
Multiply that and you get -120
If you want me to explain it more lemme know! Hopefully this helps and have a great day!
Jennifer bought an umbrella on a business trip. The umbrella is 29 inches long.
The length of the sides of the box is 18 Inches.
The length of the top and bottom of the box is 24 Inches.
Jennifer thinks she can bring the umbrella home in her suitcase.
Is she correct?
Explain using your understanding of the Pythagorean Theorem to answer.
Use the dimensions provided in your explanation.
Answer:
Answer 30^{2}
Step-by-step explanation:
24^{2} + 18^ {2} = c^{2}
576 + 324 = c^{2}
\sqrt{900} c^{2} = 30
hope this helps!
The volleyball team and the wrestling team at Stamford High School are having a joint car wash today,
and they are splitting the revenues. The volleyball team gets $5 per car. In addition, they have already
brought in $50 from past fundraisers. The wrestling team has raised $94 in the past, and they are
making $1 per car today. After washing a certain number of cars together, each team will have raised the
same amount in total. What will that total be? How many cars will that take?
PLEASE SHOW WORK THANK YOU
Answer:
Money raised by each team = 94 + 11 = $105
Number of cars washed = 11
Step-by-step explanation:
Money already present with volleyball team = $50
Money raised by washing each car by volleyball team = $5
Let the number of cars washed = [tex]x[/tex]
Money raised by washing cars = $5[tex]x[/tex]
Money already present with volleyball team = $94
Money raised by washing each car by volleyball team = $1
Money raised by washing cars = $1[tex]x[/tex] = $[tex]x[/tex]
Given that, both the teams have raised same amount of money:
[tex]50+5x=94+x\\\Rightarrow 44=4x\\\Rightarrow x=11[/tex]
Money raised by each team = 94 + 11 = $105
Number of cars washed = 11
someone pls help, find the length of the segment
the segment is 4 units long
hope this helps
what is the place value of the 6 in 976.14
Answer:
represents the one value
Step-by-step explanation:
Ones place
Question 61 point)
Chip earns a base salary of $500 per month as a salesman. In addition to the base salary, he earns $100 per product that he sells. If his
goal is to earn $5000 per month, how many products does he need to sell?
does anyone know how to do this ??
Answer:
I may be wrong but I believe it is 106°
Step-by-step explanation:
Evaluate the expresion for x=6. -2x + 1/3(x2 + 6) - 36/6
Answer:
x=6/7 hope i did it right- im so sorry if thats wrong
Step-by-step explanation:
-cz+6z= tz+83
solve for z
Answer:
z = 83 /( -c+6-t)
Step-by-step explanation:
-cz+6z= tz+83
Subtract tz from each side
-cz+6z -tz= tz-tz+83
-cz+6z- tz=83
Factor out a z
z( -c+6-t) = 83
Divide by ( -c+6-t)
z( -c+6-t)/( -c+6-t) = 83 /( -c+6-t)
z = 83 /( -c+6-t)
Simplest form of 8/36
Answer:
8.36 I think
Step-by-step explanation:
Answer: 2/9
Steps: 8/36 simplified is 2/9.
Plz mark brainliest:)
A taxi company charges $3 per ride plus $1.50 for each mile traveled. Andrea wants to spend no more than $24 on a taxi ride. How many miles can Andrea travel? Select all that apply.
Answer:
x=14
Step-by-step explanation:
3+1.50x=24
24-3=21
21/1.50=14
Answer is C which is 14
Circle the true number sentences and rewrite the false sentences to make
4= 4
5 + 1 = 6 + 1
3 + 2 = 5 + 0
6+2=4+4
3+3= 6 + 2
9 + 0 = 7 + 2
8-8 +0
6+3=5+4
3+3=6+2
The given statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Here,
1) 4=4
Statement is true.
2) 5+1=6+1
6≠7
Statement is not true.
3) 3+2=5+0
5=5
Statement is true.
4) 6+2=4+4
8=8
Statement is true.
5) 3+3=6+2
6≠8
Statement is not true.
6) 9+0=7+2
9=9
Statement is true.
7) 8-8=0
0=0
Statement is true.
8) 6+3=5+4
9=9
Statement is true.
9) 3+3=6+2
6≠8
Statement is not true.
Therefore, the statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.
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please answer....writing assignment for math
Answer:
This information tells me that f equals a number and 3 multiplied by the number that f equals is 16.
Could I please have Brainliest?
What is m,y-intercept and the y
Answer:
m=2x-40
y intercept = -40
The price of a DVD is $24.00 plus 8% sales tax. What is the sales tax on
this DVD in dollars and cents?
34 points
$3.00
$300
$1.92
$192
Answer:
1.92
Step-by-step explanation:
Answer:
$1.92
Step-by-step explanation:
8% of 24
= 1.92
Help to solve x and Y
Help me plsss! I'll give u 10 points
Answer:
1.02n
Step-by-step explanation:
We just have to simply the expression already given which will give you the equivalent expression.
n + 0.02n since these are like terms because of the variable "n", we can just add them together
n+0.02n
1.02n
Solve:
a.) 5(x - 2) > -15
AND
b.) x/1 - 9 < -10
Answer:
a.) x>-1
b.) x/1 - 9 < -10
Step-by-step explanation:
a.)
5(x - 2) > -15
(divide both sides)
x-2>-3
(move the constant to the right)
x>-3+2
(calculate)
x>-1
(answer)
b.)
x/1 - 9 < -10
(divide)
x-9<-10
(move the constant to the right)
x<-10+9
(calculate)
x/1 - 9 < -10
(answer)
Condense to a single logarithm: 4 log9 11 - 4 log9 7.
O log9, (44/28)
O log9, (11/7)^4
O log9, (11/28)
log9 (44/7)
Answer: Log9,(11/7)^4
Step-by-step explanation:
according to the rules of logarithm
1)Subtraction sign(-) becomes division(÷),while addition(+)becomes multiplication (x)
2) the number in front of the log figure becomes an indices
Answer:
log9 (11/7)4
Step-by-step explanation:
got it right on the test
Determine which of the values is a solution of 17 - 2x > 5.
(-10) (-4) (0) (3) (6) (10)
ILL GIVE SOMEONE THE BRAINIEST IF THEY HELP !
Answer: x ≤ 6
Solution: -10, -4, 0, 3, 6
Not a solution: 10
Plz mark brainliest:)
The answer to the inequality is [tex]x[/tex] ≤ [tex]6[/tex]
First, you must subtract 17 on both sides
[tex]-2x[/tex] ≥ [tex]-12[/tex]
Then, you must divide -2 on both sides.
[tex]x[/tex] ≥ [tex]6[/tex]
Finally, since x was changed from negative to positive using division, switch the inequality sign.
[tex]x[/tex] ≤ [tex]6[/tex]