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
Suppose that the halflife of a substance is 250 years . If there were ir 100 the substance , (a) give an exponential model for the situation, and (b) how much wil years?
can anyone answer this please:(
hepp I am being timeddd
HELP PLEASE I'M WRITING A TEST!!!
x+3/4 = x+5/6
Answer:
no solution
Step-by-step explanation:
if u plug a random number like 1 for example 1+3/4=1 3/4 and 1+5/6=1 5/6
1 3/4 =1 5/6-this is NOT equal
so no solution
hopefully that helps! please let me know if i did anything wrong thanks!
A town's population increases in one year from 50,000 to 62,000. If the population is growing linearly, at a steady rate, then what will the population be at the end of a second year?
Answer:
74,000
Step-by-step explanation:
subtracted 62,000 -50,000
difference is 12,000 add it to 62,000 then you get ur answer sorry if I'm wrong
A triangle has side lengths of 15 millimeters, 10 millimeters, and 13 millimeters. What kind of triangle is it?
Answer:The triangle is acute
Step-by-step explanation:
Answer:
acute
Step-by-step explanation:
Question 3 (Fill-In-The-Blank Worth 5 points)
(01.03 LC)
What number should be placed in the box to help complete the division calculation?
Long division setup showing an incomplete calculation. 16 is in the divisor, 3426 is in the dividend, and 2 hundreds and 1 tens is written in the quotient. 3200 is subtracted from 3426 to give 226. An unknown value represented by a box is being subtracted from 226.
Numerical Answers Expected!
Answer for Blank 1:
2229Step-by-step explanation:
Answer:
The answer should be 16
HURRY PLEASE!!! I HAVE TO TURN THIS IN SOON!!!
I WILL GIVE YOU BRAINLIEST!!
the directions are on the picture!
i need an explanation on how you solved it too.
Answer: Didn't flip the greater than sign to lesser than.
Step-by-step explanation: When dividing an inequality by a negative the greater than or less than sign switches.
Help !!!
Cupcakes can be placed in boxes that hold 12, 8, or 6 cakes when full. What is the least number of cupcakes a baker needs to bake so that he can package them in anyone of the three different size boxes without any remaining?
Answer:
um just use a Calculator
Step-by-step explanation:
LOL sry I'm tired I would help
Answer:
i thnk the answer is 26
Step-by-step explanation:
share 126 litres of petrol between Joel and Trump in the ratio 2:5
Answer:
36:90
Step-by-step explanation:
trust me and make me brainliest please!!
Answer:
Trump=90, Joel=36
Step-by-step explanation:
2x+5x=126
7x=126
x=18
18 times 2=36
18 times 5=90
Divide Rational Expressions
In the following exercises, divide.
Answer:
[tex]\displaystyle \mathbf{\frac{5}{(c+4)}}[/tex]
Step-by-step explanation:
Division of Rational Expressions
When dividing two rational expressions like f(c) / g(c), it's usually easier to multiply the numerator by the reciprocal of the denominator: f(c) * (1/g(c)). The reciprocal is just flipping the numerator and the denominator.
Let's find the following division:
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}[/tex]
First, we factor the polynomials where possible.
[tex]c^2-64 = (c-8)(c+8)[/tex]
[tex]3c^2+26c+16=(3c+2)(c+8)[/tex]
[tex]c^2-4c-32=(c-8)(c+4)[/tex]
[tex]15c+10=5(3c+2)[/tex]
Substituting:
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{\frac{(c-8)(c+8)}{(3c+2)(c+8)}} {\frac{(c-8)(c+4)}{5(3c+2)}}[/tex]
Multiplying by the reciprocal of the denominator:
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{(c-8)(c+8)}{(3c+2)(c+8)}\cdot \frac{5(3c+2)}{(c-8)(c+4)}[/tex]
Simplifying by (c+8)(3c+2)(c-8):
[tex]\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{5}{(c+4)}[/tex]
Answer:
[tex]\displaystyle \mathbf{\mathbf{\frac{5}{(c+4)}}}[/tex]
If the part is 63 and the percent is 90% what is the whole plz help
Answer:
70
Step-by-step explanation:
63/9 = 7
7 * 10 = 70
An airplane flying with the wind takes 2 hours to travel a distance of 360 miles.
The return trip takes 3 hours flying against the wind.
What is the speed of the airplane in still air and how fast is the wind blowing?
Answer: still air is 150mph. The wind speed is 30mph.
Step-by-step explanation:
X=speed of the plane, Y=speed of the wind.
360/2hours=180
360/3hours=120
2x=180+120
2x=300
X=150
The airplane in still air is 150mph
Add together
X+y=180
150+y=180
Y=180-150
Y=30mph
The wind speed is 30mph
A triangle has two sides of length 5 and 11. What is the smallest possible whole-number
length for the third side?
The smallest possible whole number length for the third side is 7
Data obtained from the question1st length = 52nd length = 113rd length =?How to determine the smallest possible length of the 3rd sideCase 1
1st + 2nd > 3rd
5 + 11 > 3rd
16 > 3rd
3rd length < 16
Case 2
1st + 3rd > 2nd
5 + 3rd > 11
3rd > 11 - 5
3rd > 6
Thus, we have
6 < 3rd length < 16
Since the 3rd length is greater than 6, then the smallest possible length for the 3rd side is 7
Learn more about sides of triangles:
https://brainly.com/question/17113064
#SPJ1
PLEASE PLEASE HELP!!!!
Answer:
It's A or B but I think B
Step-by-step explanation:
james went out for a long walk . He walked 3 2/5 of the mile. then he sat down to take rest . After that he walked 5/7 of a mile. how far did he walk together
Answer:
Altogether James walked [tex]4\frac{4}{35}[/tex] miles.
Step-by-step explanation:
The question involves mixed fractions. Mixed fractions are first converted into proper fractions and then any operation can be performed on them.
Given
Distance of first walk = [tex]3\frac{2}{5}[/tex] of a mile
Distance of second walk = 5/7
In order to find how much he walked altogether, we have to find the sum of both fractions.
[tex]Total\ distance = 3\frac{2}{5}+\frac{5}{7}\\= \frac{17}{5}+\frac{5}{7}\\=\frac{17*7}{5*7} + \frac{5*5}{7*5}\\=\frac{119}{35} + \frac{25}{35}\\=\frac{119+25}{35}\\=\frac{144}{35}\\=4\frac{4}{35}[/tex]
Hence,
Altogether James walked [tex]4\frac{4}{35}[/tex] miles.
In which of these cases is each stamp worth the most? 7 of the same stamp worth a total of $3.15 8 of the same stamp worth a total of $3.20 10 of the same stamp worth a total of $4.10 16 of the same stamp worth a total of $4.80
Answer:
0.45
Step-by-step explanation:
1. 3.15÷7=0.45
2. 3.20÷8=0.40
3. 4.10÷10=0.41
4. 4.18÷16=0.26
Answer:
c i think sorry if its not good
Step-by-step explanation:
32^(x+4) = 64^(2x-1)
Answer:
Vamos a resolver la ecuación paso a paso.
32x+4=642x−1
Step-by-step explanation:
Resolver el exponente.
32x+4=642x−1
log(32x+4)=log(642x−1)(Sacar el logaritmo de ambos lados.)
(x+4)*(log(32))=(2x−1)*(log(64))
x+4=(
log(64)
log(32)
)*(2x−1)
x+4=1.2*(2x−1)
x+4=2.4x−1.2(Simplificar ambos lados de la ecuación)
x+4−2.4x=2.4x−1.2−2.4x(Restar 2.4x a ambos lados)
−1.4x+4=−1.2
−1.4x+4−4=−1.2−4(Restar 4 a ambos lados)
−1.4x=−5.2
−1.4x
−1.4
=
−5.2
−1.4
(Dividir ambos lados por -1.4)
x=3.714286
Solución:
x=3.714286
1. After a party, Tyler's family has
3 6/8 pizzas leftover. Each family
member ate 3/8 of the left over
pizzas. How many family
members ate the leftover pizzas?
Answer:
10 members
Step-by-step explanation:
3 6/8 leftover = [tex]\frac{24+6}{8}\\[/tex] = 30/8 = 10 . 3/8
is 98,376,751 an even or odd number
Answer:
it is an odd number
it could be even if it ended in 0, 2, 4, 6, and 8
Step-by-step explanation:
please give me brainliest
Miguel is multiplying 5/8 by 1/2. Use the drop-down menu to complete the statement.
Answer:
5/8 x 1/2 = 0.3125 in decimal form
Step-by-step explanation:
Answer:
less than
Step-by-step explanation:
Solve the system of equation using any method.
Y=4x-9
Y=x-3
y=4x-9
y=x-3
-4x + y = -9
-x +y = -3 //-1
-4x + y = -9
x - y = 3
---------------------
-3x = -6
x = 2
y = 2-3
y = -1
Answer:
(2, -1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
y = 4x - 9
y = x - 3
Step 2: Solve for x
Substitute in y: 4x - 9 = x - 3Subtract x on both sides: 3x - 9 = -3Add 9 to both sides: 3x = 6Divide 3 on both sides: x = 2Step 3: Solve for y
Define: y = x - 3Substitute in x: y = 2 - 3Subtract: y = -1Which function is the inverse of f(x) = 2x + 3?
Answer:
f(x inv)=-1/2x-3
Step-by-step explanation:
You pretty much just have to flip all the numbers to fractions and all the positives to negatives.
What is the remainder when 72 – 7.0 + 9, is divided by a +1
Answer:
74
Step-by-step explanation:
72-7.0+9/1
If f(x) = 3x + 2, what is f(5)?
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[tex]f(x) = 3x + 2[/tex]
[tex]f(5) = 3(5) + 2[/tex]
[tex]f(5) = 15 + 2[/tex]
[tex]f(5) = 17[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Please help me ASAP.
Answer:
y=3x+10
Step-by-step explanation:
m=y2-y1/x2-x1
-5-7=(-12)
3-(-1)=4
-12/4=3
y=3x+b
7=3(-1)+b
3*-1=(-3)
-3(-3)=0
7-(-3)=10
b=10
hope this helps :3
if it did pls mark brainliest
Select the three ratios that represent the number of red cars to blue cars
A piece of fabric costs $5.29 a yard. Which is an estimated cost of 16.3 yards of fabric? $21 $80 $165 $800 Mark this and return
PLEs
Answer: 80
Step-by-step explanation: 16.3×5.29=86.227
Answer:
The answer is B
Step-by-step explanation:
Also 1 ❤️= 1 GOOD LUCK TO EVRY WONE
A mini bus can carry 8 students. How many mini buses will be needed to transport 38 students?
Answer:
5 buses
Step-by-step explanation:
you need to divide the number of students (38) by the number of students a mini bus can carry.
38 : 8 = 4.75
since they want to know how many buses will be needed to transport all students, you round 4.75 to 5
hope this helps!
Which sentence is represented by this algebraic equation?
9514 1404 393
Answer:
A
Step-by-step explanation:
x/2 is half of x, eliminating choices C and D.
Three is subtracted from half of x, eliminating choice B
The correct choice is A.
Answer:
a
Step-by-step explanation:
Top Tech adds 55% to the wholesale cost it pays for its inventory. Top Tech bought a wireless mouse for $24. What will be the retail price of the wireless mouse? Round to the nearest penny.
9514 1404 393
Answer:
$37.20
Step-by-step explanation:
Adding 55% to the cost means the cost is multiplied by 1+55% = 1.55.
$24 × 1.55 = $37.20
The retail price will be marked as $37.20.