Answer:
First, let's write all the costs:
$4,000 in advertising.
$10,000 in the recording.
$5,50 per cd.
Then we have that the cost will be:
C(x) = $4,000 + $10,000 + $5.50*x
where x is the number of CDs distributed.
C(x) = $5.50*x + $14,000.
Now, they win $7.20 per cd, so the tota wins are:
W(x) = $7.20*x
The profit will be the difference between the total win and the cost:
p(x) = $7,20*x - $5.50*x - $14,000 = $1.7*x - $14,000
Now with this function, we can calculate the number of CDs that the company needs to sell in order to break even, that is when the profit is exactly zero.
P(x) = $0 = $1.7*x - $14,000
$1.7*x = $14,000
x = $14,000/$1.7 = 8,235.3 CDs, that we should round up to 8,236.
This means that the company must sell more than 8,236 if they want to have a positive profit.
Elisa swim laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now she can finish 12 laps in 24 mins. By how many minutes has she improved her lap time?
Answer:
I think one minute
Step-by-step explanation:
she can now complete 2 laps in one minute
what is the answer to this equation -3-6x =9
Answer: la respuesta es -57
Step-by-step explanation:
Answer:
-57 and sorry if wrong
Step-by-step explanation:
Name all rays ,point and line segment
Answer:
ratious and axuas
Step-by-step explanation:
Answer:
S & Q are points
R is a ray
SR & RQ are line segments
Step-by-step explanation:
Mum bought a litre of orange juice. She filled 5 glasses and had 1/5 of a litre left. How much was in each glass?
suppose that Y varies directly with X andY equals 12 when X equals -2 what is X when Y equals -6
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
A direct variation equation has the following format:
[tex]y=kx[/tex]
Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:
[tex]12=-2k[/tex]
Divide both sides by -2:
[tex]k=-6[/tex]
So, our direct variation equations is:
[tex]y=-6x[/tex]
To find what x is when y equals -6, substitute in -6 for y:
[tex]-6=-6x[/tex]
Divide both sides by -6:
[tex]x=1[/tex]
So, our answer is 1 :)
Can u guys PLEASE answer this question ASAP. A fat cat that was initially 12 kg reduces its weight by 10% each month. How long does it take for the cat to be at least 6 kg lighter than its original weight? Give your answer as a whole number of months.
Answer:
It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.
Step-by-step explanation:
Use exponential decay formula:
A = P (1-r)t
A = amount decreased to
P = original amount
r = rate of decrease
t = time
6 ≥ 12 (1-0.10)t divide both sides by 12
0.5 ≥ (0.9)t take log of both sides
log (0.5) ≥ log (0.9)t power rule of logs lets the exponent t drop to front of log to become a factor
log (0.5) ≥ t log(0.9) divide both sides by log(0.9) which is negative so reverse the inequality sign
log (0.5) / log (0.9) ≤ t use calculator
6.57 ≤ t
It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.
check:
12 (0.9)7≈ 5.73
12 (0.9)6 ≈ 6.37
please help me i rlly need it, thank you
• Answer:
x = 2
• Step-by-step explanation:
AB = AC/2 = 16/2 = 8
AB = 2x + 4
8 = 2x + 4
2x = 8 - 4
2x = 4
x = 4 : 2
x = 2
Pls helppppppppppp will mark brainliest
Answer:
Hence, the distance of a point P(x,y) from the origin is √(x)^2 + (y)^2.
Solve -2.4x + 3.8x- x
Answer:
Step-by-step explanation:
1.4x - x = 0.4x
PLEASE HELP!!! One step equation... solve by division b/7=5
Answer:
b = 35
Step-by-step explanation:
[tex]\frac{b}{7} =5\\Multiply\: through\: by\: 7\\\\7(\frac{b}{7} ) =5\times 7\\\\b = 35[/tex]
Answer:
multiply both side of the equation by 7.
7 x b/7 = 7 x 5
cancel common factor of 7
b = 7 x 5
b = 35
let x = 4, Evaluate 3x+4x2-8
Answer:
12
Step-by-step explanation:
A seagull is floating on the surface of the ocean when it takes off and flies upward at a rate of 4 ft per second. After 19 seconds, how far away from the surface of the water will the seagull be?
Answer:
d = 76 m
Step-by-step explanation:
It is given that, the speed of 4 ft per second when it takes off and flies upward
We need to find how far away from the surface of the water will the seagull be after 9 seconds.
Speed is distance over time.
So,
Distance, d = vt
d=4 ft/s × 19 s
d=76 meters
So, the seagull will be at a distance of 76 m from the surface of water.
30 POINTS!!!!!
Evaluate the expression for the given values...
Answer:
4.) -3x² - 5x + 7
- 3 * -2 * -3 * -2
+6 * +6 - 5 * -2
36 - (+10)
36 - 10 = 26
5.) 3x² - 7y²
3 * x X 3 * x - 7 * y X 7 * y
3 * 2 X 3 * 2 - 7 * 3 X 7 * 3
6 * 6 - 21 * 21
36 - 441 = -405
6.) 4(x - 2y)
________
x + y
4 * x - 4 * 2 X y
_____________
x + y
4 * 4 - 4 * 2 X -2
16 - (+16)
16 - 16 = 0
7. π + x√3y
22/7 + -3√15
3094
_____
22/7 + -11
5000
2380
= -8 ______
5000
Step-by-step explanation:
Please mark me as brainliest
Simplify the following numerical expression as much as possible: 53*25= ?
Answer:
1325
Step-by-step explanation:
53 * 25 =
Break it apart to solve without a calculator
5 * 25 = 125 and we add a 0 because it's 50 * 25 so 1250
now multiply 3 * 25 = 75
Add them
1250 + 75 = 1325
You can't simplify further.
Answer:
1325
Step-by-step explanation:
53 * 25 = 1325
That's as simple as you can get
Choose all of the expressions that are equal to −9. the opposite of nine −|9| |−9| −|−9| −(−9) the distance from zero to nine
Answer:
−|9| = -9
−|−9| = -9
Step-by-step explanation:
−|9| = -9
|−9| = 9
−|−9| = -9
−(−9) = 9
40 percent in to fraction decmal
Answer:
0.4 hope this helps
Step-by-step explanation:
Answer:
Well 40 percent is 2/5 as a fraction and 2/5 as a decimal is 0.4
Step-by-step explanation:
Help asap plsssss:(((
Answer:
84
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
Given
(- 6)(- 2x - 4y) , substitute x = 1, y = 3 into the expression
= (- 6)(- 2(1) - 4(3) )
= (- 6)(- 2 - 12)
= (- 6)(- 14)
= - 6 × - 14
= 84
is negative pi 17 a natural number
Answer:
No.
Step-by-step explanation:
π is a irrational number; therefore, π × 17 is also irrational number.
plz solve this question immediately
someone please help!
g (f(-3)) = -6 is your answer
3 3/4 + 4 1/8 . I need it wrote down so i can copy it
Answer:
7 7/8
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
63/8
Decimal Form:
7.875
Mixed Number Form:
7 7/8
Aliyah wants to estimate the value of the quotient of 5.68 x 10- and 8.54 x 10 Which statement about the value is true?
The value will be greater than 1 because (-3)+(-9) is a positive number. A number in scientific notation with a
positive exponent has a value greater than 1.
The value will be greater than 1 because (-3)-(-9) - 6. A number in scientific notation with a positive exponent is
greater than 1.
The value will be less than 1 because 5.88 - 8.54 is less than 1. The negative exponents will make it even smaller.
The number will be less than 1 because 5.68 x 10- is a very small number and division always makes the size of a
number smaller.
Answer:
B-The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.
Step-by-step explanation:
I hope I was helpful :)
Mitchell works at the local movie theater. He currently has $395 in his
savings account and he plans to deposit $30 in his account every week.
Define the variable and write an algebraic expression to show how much
money Mitchell will have in his account after any number of weeks.
Answer: 395+30x
Step-by-step explanation:
Given : Mitchell has $395 now.
He saved $30 each week.
Let x be a variable that represents the number of weeks.
Since, Total amount = Current money + (Money save each week ) (Number of weeks)
Then, Total amount = (395 ) + (30)(x)
= 395+30x
Hence, the required algebraic expression= 395+30x
An algebraic expression is a mathematical expression consisting a variable (a,b,c,..) which can be manipulated .
Pam bought a stereo for $700 and made 36 payments of $26.32. How much
did she pay in interest?
Best answer gets brainliest
Answer:
$247.52
Step-by-step explanation:
36 x 26.32 = 947.52
947.52 - 700= 247.52
10² - (-10)² - (-10)²
Answer:
-100 (10*10)- (-10*-10) - (10*10)
Step-by-step explanation:
simplify 4+3(7+4 x 2)-100
Solve this
look at image. reflection across y= -1
Answer:
Y 2,1 X 0,1 W 0,4 Z 3,5 will be the new reflected points
Step-by-step explanation:
Simplify 3(5x + 9 - 4x)
Please help I will give out brainliest
Answer:
upper bound = 112.5
lower bound = 111.5
Step-by-step explanation:
x = 360 - 59 - 108 - 81
x = 112°
upper bound = 112.5 < 113
lower bound = 111.5 < 112
so
L.B. U.B.
111.5 < 112 < 112.5
Answer:
upper bound = 112.5
lower bound = 111.5
Step-by-step explanation:
x = 360 - 59 - 108 - 81
x = 112°
upper bound = 112.5 < 113
lower bound = 111.5 < 112
so
L.B. U.B.
111.5 < 112 < 112.5
If 5y + 2 = 8/3, what is the value of 5y - 6?
Answer:
5y - 6 = (-16)/3
Step-by-step explanation:
1. Step:
Solve for y:
5 y + 2 = 8/3
Subtract 2 from both sides:
5 y + (2 - 2) = 8/3 - 2
2 - 2 = 0:
5 y = 8/3 - 2
Put 8/3 - 2 over the common denominator 3. 8/3 - 2 = 8/3 + (3 (-2))/3:
5 y = 8/3 - (2×3)/3
3 (-2) = -6:
5 y = 8/3 + (-6)/3
8/3 - 6/3 = (8 - 6)/3:
5 y = (8 - 6)/3
8 - 6 = 2:
5 y = 2/3
Divide both sides by 5:
y = (2/5)/3
3×5 = 15:
Answer: y = 2/15
2. Step.
Evaluate 5 y - 6 where y = 2/15:
5 y - 6 = 5×2/15 - 6
5×2/15 = (5×2)/15:
(5×2)/15 - 6
5/15 = 5/(5×3) = 1/3:
2/3 - 6
Put 2/3 - 6 over the common denominator 3. 2/3 - 6 = 2/3 + (3 (-6))/3:
2/3 - (6×3)/3
3 (-6) = -18:
2/3 + (-18)/3
2/3 - 18/3 = (2 - 18)/3:
(2 - 18)/3
2 - 18 = -(18 - 2):
(-(18 - 2))/3
| 1 | 8
- | | 2
| 1 | 6:
Answer: (-16)/3