Digital Cameras
The cost and revenue equations for a company that sells digital cameras are given by
R(x) = x(125 -0.0005x)
And
C(x) = 3.5x + 185000
Where R and C are measured in dollars and x represents the number of cameras sold. How many
cameras must be sold to obtain a profit of at least $6,000,000?
Answers
Answer:
283,957 cameras
Step-by-step explanation:
Profit generated = cost - Revenue
Given
Cost function C(x) = 3.5x + 185000
Revenue function R(x) = x(125 -0.0005x)
Profit = $6,000,000
To get the value of x, we will substitute the given parameters into the formula as shown;
$6,000,000 = 3.5x + 185000 - x(125 -0.0005x)
$6,000,000 = 3.5x + 185000 - 125x +0.0005x²
0.0005x²-121.5x + 185000 - 6,000,000 = 0
0.0005x²-121.5x-5815000 = 0
On solving the resulting quadratic equation
x = 283,956.91736581 and -40956.917365805
Ignoring the negative value, the minimum camera that must be sold is approximately 283,957 cameras
Related Questions
What is the 96th term of -16,-28,-40 hi
Answers
Answer:
Tn = a + (n - 1) d
where a = first term
n = number of the member of the sequence
d = common difference
a = -16
n = 96
d = second term - first term or
third term - second term
= -28 - (-16) = -28 + 16 = -12 or
= -40 - (-28) = -40 + 28 = -12
d = -12
Tn = a + (n - 1) d
= -16 + (96 - 1) -12
= -16 + (95) -12
= -16 + (-1140)
= -16 - 1140 = -1156
Anyone know how to do this?
Answers
dsdadasdasdwe..
NYC Myths vs. Fact.
Cpinion why plast.
Spies
Now, what are the five factors of 16?
Type the factors in increasing order.
Answers
Given parameters:
The value given is 16
Problem is to find the factors of 16
A factor is any number that divides another number into equal parts without any remainder.
For 16, the factors are:
1 , 2 , 4 , 8 and 16
These numbers will divide 16 into equal parts. A number is a factor of itself.
1 is a factor of any number.
So, the five factors of 16 are 1, 2, 4, 8 and 16
A manufacturer produces dice in many different sizes. If the side length of the dice is double, then the volume of the larger dice is how many time the volume of the smaller dice?
Answers
Answer:
Here you are...
Step-by-step explanation:
If you double one of the dimensions, say change one side from 2 to 4 it doubles the volume. if you were to do this to any side, say double it, it would double the volume. ... It will make the volume 4 times as much also. the volume would go from 30 to 120.
two irrational numbers between 0 and 1
Answers
Answer:
1/3 and 2/3
Step-by-step explanation:
1/3= 0.33333333 (which is an irrational number)
2/3= 0.666666 (which is also an irrational number)
An irrational number is where the decimal never ends.
So 1/3 and 2/3 are irrational numbers.
The product of 3 and a number x less than 17
Answers
Answer:
3x-17
Thats the answer
Answer:
3x-17
Step-by-step explanation:
I'm pretty sure thats the answer. Hope this helps plz give brainliest.
Which table has a constant of proportionality between Y and X of 3/4
Answers
Answer:
Table A
Step-by-step explanation:
The constant of proportionality is the ratio of y to x.
A: 6/8 = 3/4 . . . . this is the table you want
B: 1/4 = 1/4 . . . . . constant is not 3/4
C: values are not proportional
Answer:
A :)
Step-by-step explanation:
Use the calculator to find the product. (1.466 × 10–8)(5.02 × 105) What is the coefficient of the product?
Answers
Answer:
7.3593
-3
I took the test on edge and made a 100
The coefficient of the product is 7.35932 and the exponent is -3
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
When we multiply numbers in scientific notation, then
1.466 x 5.02 =7.56932
Then we add the exponents on the powers of 10 as;
10^(-8+5) = 10^(-3)
The result is 7.56932 x 10^-3
Using a calculator, we get 0.00735932, this is not in scientific notation.
0.00735932 changed to scientific notation
Now Move the decimal until a nonzero digit is to the left of the decimal
7.35932
Which that means our exponent is -3
7.35932 x 10^-3
Learn more about scientific notation here:
https://brainly.com/question/3112062
#SPJ6
divide the following. 3+7i/5i
Answers
Answer:
4.4.
Step-by-step explanation:
3+7i/5i = 4.4 .
Write the equation of a line with a slope of -1 and a y-intercept of 5. Do not use spaces
in your response.
Answers
Answer:
y=-x+5
Step-by-step explanation:
Hope this helps!
And can I have brainliest!
Solve for all values of x
logx+4(3x2 – 4x + 2) = 2
Answers
7g*4g^6 pls help me i need help
Answers
Just add the exponents when multiplying
6+4=10
7g^10
Brainliest?
Indicate whether the lines are parallel, perpendicular, or neither. Justify your
answer.
a. Y = −3x − 1 and 12x = 4y + 7
b. X− 7y= 10 and 2x+ 14y= 21
Answers
Lines are perpendicular when their slopes are negative reciprocals of each other. Example: 4/3x+3 and -3/4x-7 would be perpendicular.
As for your question-
In order to find the slope of a line in these problems we can put it into y=mx+b form.
12x=4y+7
-4y=-12x+7
y=3x-7/4
The slopes are not the same so the answer is neither.
-7y=-x+10
y=1/7x-10/7
14y=-2x+21
y=-1/7x+3/2
Slopes aren’t the same so neither.
You can check on a graphing calculator too.
sam needs to memorize words in a vocabulary list for spanish class he has memorized 30 of the words which is five - sixths of the list how many words are on the list?
Answers
I believe that the answer is 36.
Evaluate 7-2k-6n when k= -3 and n= -6
Answers
Answer:
49
Step-by-step explanation:
Step 1:
7 - 2k - 6n Equation
Step 2:
7 - 2 ( - 3 ) - 6 ( - 6 ) Substitute
Step 3:
7 + 6 + 36 Multiply
Answer:
49 Add
Hope This Helps :)
Rashawn puts $550 in an account earning 8% simple interest annually. How much will he have in his account after 6 years? i need help please
Answers
But y intercept would be 550 then multiply 8 by 6to get 48
So your answer should be $598 in 6 years
3. R: {(1, 2), (2, 2), (−1, −2), (−3, 4)}?
Is this relation a function?
A. Yes
B. No
4. Explain your answer from #3: why or why not?
Answers
What is the order of operations that should be used to evaluate this expression?
3(4 + 7) -5x4
Answers
Answer:
The first option +,x,x, -
Step-by-step explanation:
PLEASE ANWSER ASAP
A wall measures 13.2 feet by 8.14 feet. What is the PERIMETER of the wall using the correct number of SIGNIFICANT DIGITS?
Answers
Answer:
43.8
Step-by-step explanation:
How does sin 30 degrees compare to sin -30 degrees
Answers
Answer:
one is negative mate and another is not, one is 30 lad and one is n- i mean is also 30
Step-by-step explanation:
Question 2
2 pts
Line CD is the perpendicular bisector of segment AB. The lines intersect
at point E. Which of these statements is true?
(Hint: it may help to draw a picture, but you don't have to turn it in!)
There is not enough information to be sure.
O E is closer to A than to B.
O E is closer to B than to A.
O E is the same distance from A and B.
Answers
Answer:Segments AC AND CD have the same length
triangle BCE IS isosceles
Step-by-step explanation:
Santiago has $6000 spread across his 3 accounts. He has a checking account which pays 2% interest, a savings account that pays 5% interest, and a money market account which pays 7% interest. At the end of 1 year, he earned a total of $355 in interest. If he put $2300 less in his savings accout than his money market account. Find how much money Santiago put into each account
Answers
Answer:
Santiago put $700 into a checking account, $1,500 into a savings account and $3,800 into a money market account.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y+z=6000 (1)
0.02x+0.05y+0.07z=355 (2)
y=z-2300 (3)
First, you have to replace (3) in (1) and (2):
x+z-2300+z=6000
x+2z=8300 (4)
0.02x+0.05(z-2300)+0.07z=355
0.02x+0.05z-115+0.07z=355
0.02x+0.12z=470 (5)
Now, you have 2 equations:
x+2z=8300 (4)
0.02x+0.12z=470 (5)
Then, you can solve for x in (4):
x=8300-2z (6)
After this, you have to replace (6) in (5):
0.02(8300-2z)+0.12z=470
166-0.04z+0.12z=470
0.08z=304
z=3800
Now, you can replace z in (6) to find x:
x=8300-2(3800)
x=700
Finally, you can replace z in (3) to find y:
y=3800-2300
y=1500
According to this, the answer is that Santiago put $700 into a checking account, $1,500 into a savings account and $3,800 into a money market account.
y = 9x2 - 18x + 5
Put in vertex form
Answers
Answer:
y=9(x−1)2−4
Step-by-step explanation:
Solve the quadratic equation by completing the square:
5x^2−15x−50=0
Answers
−
b
±
√
b
2
−
4
(
a
c
)
2
a
-
b
±
b
2
-
4
(
a
c
)
2
a
Substitute the values
a
=
5
a
=
5
,
b
=
−
15
b
=
-
15
, and
c
=
−
50
c
=
-
50
into the quadratic formula and solve for
x
x
.
15
±
√
(
−
15
)
2
−
4
⋅
(
5
⋅
−
50
)
2
⋅
5
15
±
(
-
15
)
2
-
4
⋅
(
5
⋅
-
50
)
2
⋅
5
Simplify.
Tap for more steps...
x
=
3
±
7
2
x
=
3
±
7
2
The final answer is the combination of both solutions.
x
=
5
,
−
2
Find the equation of the given line. Line C
Answers
Answer:
y= 2/3x -2
Step-by-step explanation:
The slope of this line is 2/3 and the y intercept is -2 because that is where the line crosses the y axis.
Two points are 17 units apart on a number line. The coordinate of one point is -20.
What are the possible coordinates of the other?
A. -3 and +3
B. -37 and +3
C. -37 and -3
D. +37 and +3
E. +37 and –3
Answers
Answer:
It’s c. -37 and -3
Step-by-step explanation:
There are 78 students in 4th grade and there are 39 girls. Using the later b to represent the boys
Answers
Answer:
78/2=39 so 39 boys and 39 girls :)
Step-by-step explanation:
If a and b are the roots of the equation
x2 + 4x + 2m_9 and
m2_2 = a2 + 6a + 2b
Calculate the value of m
Answers
Step-by-step explanation:
Hope it will help you..
Fill in the blanks concerning the following quadratic function: f(x)=−x2−4x+5
.
The leading coefficient of f(x)
is
Answers
Answer:
Step-by-step explanation:
Given quadratic function is,
f(x) = -x² - 4x + 5
Leading term of the quadratic function is 'x²'
Coefficient of this leading term is (-1).
Now we will convert this standard equation into vertex form,
f(x) = -x² - 4x + 5
= -(x² + 4x) + 5
= -[x² + 2(2x) + 4 - 4] + 5
= -[x² + 2(2x) + 2²] + 4 + 5
= -(x + 2)²+ 9
f(x) = -(x + 2)² + 9
Since, coefficient of the leading term is negative the parabola will open downwards.
Vertex form of the function is given by,
g(x) = -(x - h)² + k
(h, k) is the vertex.
By comparing the equation of the function 'g' with the function 'f',
(-2, 9) will be the vertex of the function which is the maximum point of the function.
Answer this question and show the workout
Answers
Answer:
Is thIs Indian server??????
