Answer:
-4 5/12
Step-by-step explanation:
-2 3/4 - 1 2/3
3/4*3/3= 9/12 2/3*4/4= 8/12
-2 9/12 - 1 8/12
-3 17/12
-4 5/12
You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $4 the demand was 520 log-ons per month. When you lowered the price to $3.50, the demand increased to 780 log-ons per month.
(a) Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x.
R(x) =
(b) Your Internet provider charges you a monthly fee of $30 to maintain your site. Express your monthly profit Pas a function of the log-on fee x.
P(x) =
Determine the log-on fee you should charge to obtain the largest possible monthly profit.
x = $
What is the largest possible monthly profit?
$
Answer:
a)[tex]R(x)=-520x^2+2600x[/tex]
b)[tex]P(x)=-520x^2+2600x-30[/tex]
c)x=2.5
d)P(x)=3220
Step-by-step explanation:
Let Demand function be D=Ax+B
We are given that When you charged $4 the demand was 520 log-ons per month
So, D = 520 , x = 4
So, 520=4A+B ----1
We are also given that When you lowered the price to $3.50, the demand increased to 780 log-ons per month.
So, D=780 , x = 3.50
So, 780=3.5A+B ----2
Substract 2 form 1
4A+B-3.5A-B=520-780
0.5A=-260
[tex]A=\frac{-260}{0.5}[/tex]
A=-520
Substitute value of A in 2
780=3.5(-520)+B
780-3.5(-520)=B
2600=B
So, D=-520x+2600
Revenue = Demand (x)=(-520x+2600)(x)
a) [tex]R(x)=-520x^2+2600x[/tex]
b) Profit = Revenue - cost
[tex]P(x)=-520x^2+2600x-30[/tex]
c)to obtain the largest possible monthly profit.
Equate the first derivative of profit to 0
P'(x)=-1040x+2600=0
[tex]x=\frac{2600}{1040}[/tex]
x=2.5
d)Now to find the largest possible monthly profit
Substitute x = 2.5 in Profit function
[tex]P(x)=-520(2.5)^2+2600(2.5)-30[/tex]
P(x)=3220
This is just a made up question I made.
6(2 + 9) - 11
Answer:
55
Step-by-step explanation:
2+9=11x6=66-11=55
Help me please please
Step-by-step explanation:
hold on
A particular computer takes 11 minutes to download a 33-minute TV show. How long will it take the computer to download a 2-hour movie?
It will take the computer minutes to download a 2-hour movie.
(Type an integer or a decimal.)
Answer:
i got 42 minutes
Step-by-step explanation:
Answer:
40 Minutes
Step-by-step explanation:
1 Min In real life= 3 Minutes in downloaded movie
10 Min in real life= 30 Minutes in downloaded movie
20 Min in real life= 60 Minutes in downloaded movie
30 Min in real life= 90 Minutes in downloaded movie
40 Min in real life= 120 Minutes in downloaded movie
Hopefully that helps! Also can I get Brainliest
Please help I don't understand this
Answer:
First equation: No solution
Second Equation: One solution
Third equation: Infinitely many solutions
Step-by-step explanation:
Hope this helped, Have a Great Day!!
The ratio of the interior angles of a triangle is 3: 3:4. What are the angle
measures
Answer:
3X=54°
3X=54°
4X=72°
Step-by-step explanation:
3X+3X+4X=180°(SUM OF INTERIOR ANGLES OF A TRIANGLE ADOPTS TO 180°)
10X=180°
X=18°
THERFORE;
3X=18 * 3 = 54°
4X=18 * 4 = 72°
The sum of all the interior angles of a triangle is 180°. The measure of the angles are 54°, 54° and 72°.
What is a Triangle ?A triangle is geometric figure bounded by three straight lines.
The sum of all the interior angles of a triangle is 180°.
In a triangle, the length of the longest side is always less than the sum of the length of the other two sides.
In the given figure, the angles of a triangle are 3x, 3x and 4x.
Since the sum of interior angles is 180°,
3x + 3x + 4x = 180
x = 18
Thus the angles can be obtained by substituting the value of x as follows,
3x = 3 × 18 = 54°
3x = 3 × 18 = 54°
And, 4x = 4 × 18 = 72°.
Hence, the angles of the given triangle are 54°, 54° and 72°.
To know more about Triangles click on,
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Markus was given dollar bills from his grandfather each day for one week. On the first day he received $1, on the second day he received $2, on the third day he received $4, and on the fourth day he received $8. If this pattern continues, how much money will Markus have by the end of the week?
Answer: $127.00
Step-by-step explanation:
you just multiply all the numbers by two then you add everything up. make sure to have a great day, and I really hope that this help! :)
HELP PLEASE!! NUMBER ONE OR TWO PLEASE!
JUST SHOW ME HOW TO DO IT! THANK YOU BUNCHES!xoxo
Answer:
Step-by-step explanation:
1. 6, ?, ?, ?,102
a0 =6
a1=?
a2=?
a3=?
a4=102
an= a0+n*d
a4= 6+ 4*d=102 so 4d= 102-6=96, so d=96/4=24
d=24
a1 = 6+24=30
a2 =30+24=54
a3 =54+24=78
Ms. Sacksteader owns a grocery store. She buys 272 pounds of potatoes for $99. She wants to sell them for twice as much. She makes 9 bags containing 10 pounds each and puts the rest in 5-pound bags. Her family will eat any of the leftover potatoes. Ms. Sacksteader wants to know how many 5-pound bags of potatoes she can sell. How much money will ms. Sacksteader make fir the 5 lb bags
Answer:
b
Step-by-step explanation:
Can someone help????
Answer:
BAE + ECB + ABC = 180 [ BEING INTERIOR TRIANGLE ANGLES SUM ]
Answer:
180 = Angle ABC + BAE + ECB
180 = Angle ABC + 27 + 21
Angle ABC = 180 -27 -21
Angle ABC = 132
Angle ABC = Angle ADC (opposite angles of a parallelogram are equal).
Angle = 132
Step-by-step explanation:
Plz help i am timed
Find the missing exponent: 36 = 67.
A.-2
B.2
C.-1/2
D.1/2
Answer:
b.2
Step-by-step explanation:
thats ur answer
Answer:
B. 2
Step-by-step explanation:
Happy Paws charges $19.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the varlable h to represent the number of hours.
Answer: its 20.5 i think i hope its right
Step-by-step explanation:
Answer: The equation is: 11+5.75h=19+4.5h The total cost of the services will be equal at 6.4 hours
Step-by-step explanation:
11 + 5.75h = 19 + 4.5h
-11 from both sides
5.75h = 8 + 4.5h
-4.5h from both sides
1.25h = 8
8 / 1.25 = 6.4,
Therefore, h=6.4
Help me please also put in the comments how to mark you brainilest if you get it correct
Answer:
4: 60
5: 96
Step-by-step explanation:
6 times 10
8 times 12
Answer:
4 is 60
5 is 96
Step-by-step explanation:
A line has a slope of 2 and passes through the point (3,8). What is its equation in slope-intercept form
Answer:
y = 2x + 2
Step-by-step explanation:
slope (m) = 2 ; (3 , 8)
Equation: y - y1 = m (x - x1)
y - 8 = 2(x - 3)
y - 8 = 2x - 2*3
y - 8 = 2x - 6
y = 2x - 6 + 8
y = 2x + 2
What is 350,000 as a whole number and a power of ten
Answer:
350,000 add ten more zeros
Step-by-step explanation:
350,000¹⁰ 350,000 000,0000
Please say why it is the answer
NEED ASAP
Which value is the solution for the equation tanx/2=1
pi/2
pi/4
3pi/4
3pi/2
Answer:
a ) π/2, 4π/3, 3π/2. 5π/3.
Step-by-step explanation:
2 sin t cos t + √3 cos t = 0
cos t ( 2 sin t + √3 ) = 0
Therefore:
cos t = 0, t 1 = π/2, t 2 = 3 π/2
or:
2 sin t + √3 = 0
2 sin t = - √3
sin t = - √3 / 2
t 3 = 4 π/3, t 4 = 5 π/3
Answer:
I think its the first option
Find the area of a regular hexagon with the given measurement of 48 inch perimeter
Answer:
A≈166.28in²
Step-by-step explanation:
Plz name me the brainliest
4t^2-6 when t is 3
Math question
Answer:
30
Step-by-step explanation:
4t^2-6 when t is 3
Since we know t=3, we can substitute that in
4(3^2) - 6
Simplify.
3^2 = 9
= 4(9) - 6
= 36 - 6
= 30
a long steel beam has a length of twenty-five meters on a cold day when the temperature is 0*c. what is the length of the beam on a hot day when t
Complete question is;
A long steel beam has a length of twenty-five meters on a coldday when the temperature is 0°C. What is the length of the beam on a hot day when T = 40°C. (α_steel = 1.1 × 10^(-5) °/C)
a. 25.00044 m
b. 25.0044 m
c. 25.011 m
d. 25.044m
e. 25.11 m
Answer:
Option C: 25.011 m
Step-by-step explanation:
We are given;
Initial Temperature; T1 = 0°C
Final Temperature; T2 = 40°C
Coefficient of linear expansion of steel; α_steel = 1.1 × 10^(-5) °/C
Initial length; L_o = 25 m
We know that formula for change in length is;
ΔL = LαΔT
Plugging in the relevant values, we have;
ΔL = 25 × 1.1 × 10^(-5) × (40 - 0)
ΔL = 0.011 m
Thus, new length is;
L1 = L_o + ΔL
L1 = 25 + 0.011
L1 = 25.011
Are the events "choosing a black card" from a deck of playing cards and
"choosing a 10" mutually exclusive? Explain why or why not.
Answer:
yes
Step-by-step explanation:
just yes
Answer:
No
Step-by-step explanation:
There are two black 10’s
If a, b are real numbers and 7a + i(3a - b) = 14 - 6i , then find the values of a and b.
If a, b are real numbers and 7a + i(3a - b) = 14 - 6i, then find the values of a and b. Therefore, the value of a = 2 and the value of b = 12. 3.
The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.
The equation is given below.
7a + (3a - b)i = 14 - 6i
Compare the real part of the equation, then we have
7a = 14
a = 14 / 7
a = 2
Compare the imaginary part of the equation, then we have
3a - b = - 6
3 x 2 - b = -6
6 - b = - 6
b = 6 + 6
b = 12
The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.
More about the complex number link is given below.
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What is 2.685 rounded to the near tenth
Answer:
2.7
Step-by-step explanation:
To round 2.685 to the nearest tenth consider the hundredths’ value of 2.685, which is 8 and equal or more than 5. Therefore, the tenths value of 2.685 increases by 1 to 7.
X
7.
14
11
-10
у
-3
-9
-4
-3
15
O Function
O Not a Function
Answer:
function
Step-by-step explanation:
im not 100% sure
I need help finding the reasoning.
Answer:
3. ASA (Angle Side Angle)
4. CPCTC (Congruent Parts of Congruent Triangles are Congruent)
Step-by-step explanation:
Since angle Q is congruent to angle T, side QR is congruent to side TR, and angle R is congruent to angle R, we can say that the triangles are congruent because of the Angle Side Angle Postulate.
With that being said, the other parts of the triangle are congruent, which is proved by the CPCTC theorem.
#teamtrees #WAP (Water And Plant)
At a lightbulb manufacturing plant, 2% of the lightbulbs are found defective. If the plant had 56 defective lightbulbs on a certain day, how many did it manufacture that day?
Answer: 2,800
Step-by-step explanation: Multiply 56 by 100 then divide it by 2
Answer:
2800
Step-by-step explanation:
2/10 x 56/x
5600÷2= 2800
what is on tenth less than 0.61
Answer:
0.6
Step-by-step explanation:
because 0.61= 1=0 so 0.6+0=0.6
The speed of light in a vacuum is about 3000000000 meters per second, which can be written as 3 x 10n meters per second. What is n
Answer:
n = 9.
Step-by-step explanation:
There are 9 0's after the 3 so it's
3 x 10^9.
Your realized income from your primary job is $2,034.24/month. Your fixed expenses are 30% of your primary job’s realized income. You have a second job that pays $9.50/hr with deductions of FICA (7.65%), federal tax withholding (11.5%), and state tax withholding (7.75%). If you want to save enough in the next 10 months to have an emergency fund that will cover 5 months using only 20% of your discretionaries from your primary job, how many hours per month do you need to work at your second job to meet your monthly savings goal?
Answer:
Step-by-step explanation:50.98%
Answer:
3
Step-by-step explanation:
i just took it lol
What type of number cannot be written as a fraction p/q , where p and q are integers and q is not equal to zero
9514 1404 393
Answer:
irrational
Step-by-step explanation:
A number that can be written as the ratio of two integers is called a "rational" number. If it cannot be written that way, it is called an "irrational" number
Irrational numbers cannot be written as a fraction of p/q.
Rational numbers can be written as a fraction of p/q.