Answer:
$40
It means that when an infinite number of pages are printed in a month then the fixed cost will be negligible.
Step-by-step explanation:
Given that:
Monthly overhead costs in rent = $1900
Costs in electricity = $450
Costs for phone service = $80
Costs for advertising and marketing = $230
Printing cost per thousand pages = $40
If number of pages printed are [tex]x[/tex] thousand then cost of printing for [tex]x[/tex] thousand pages = $40[tex]x[/tex]
Average cost to print [tex]x[/tex] thousand pages can be given as:
(Total fixed cost + Total cost of printing [tex]x[/tex] thousand pages) divided by [tex]x[/tex]
[tex]\dfrac{2660+40x}{x}[/tex]
Now, it is given that an infinite number of pages are printed in a month, and we have to find the value that average cost would approach to.
[tex]\lim_{x \to \infty} (\dfrac{2660+40x}{x})[/tex]
Let us solve the above limits.
[tex]\Rightarrow \lim_{x \to \infty} (\dfrac{2660}x+\dfrac{40x}{x})\\\Rightarrow \lim_{x \to \infty} (\dfrac{2660}x)+40\\\Rightarrow 40+\lim_{x \to \infty} (\dfrac{2660}x)[/tex]
When
[tex]x\rightarrow \infty\Rightarrow \frac{2660}{x} \rightarrow 0[/tex]
Putting the value in the limits, we get:
Average cost per thousand pages month would approach to [tex]\rightarrow \$40[/tex]
It means that when an infinite number of pages are printed in a month then the fixed cost will be negligible.
what is the interior angle sum of 31-gon
Sum of Interior Angles = (Number of Sides -2) • 180 degrees
Sum of Interior Angles = 29 * 180
Sum of Interior Angles = 5,220
The interior angle sum of 31-gon is A = 5220°
What is the sum of the interior angles of a polygon?
The sum of the interior angles of a polygon is given by the formula
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides
θ = angle in degrees
Given data ,
Let the interior angle sum of the polygon be = A
Now , the value of A is calculated by
The number of sides of the polygon n = 31
So , the interior angle sum of the 31-gon is given by the equation
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides , so
Substituting the values in the equation , we get
The value of nθ = 180 ( n - 2 )
The value of nθ = 180 ( 31 - 2 )
The value of nθ = 180 x 29
The value of nθ = 5220°
Therefore , the value of A is 5220°
Hence , The interior angle sum of 31-gon is A = 5220°
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7. 70% of what number is 112
Answer:
1.6
Step-by-step explanation:
you divide 112/70 and you get 1.6
The product of three and a number equals the sum of 16 and a number. find the number
Answer:
n = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
Set up the equation.
3n = n + 16
Step 2: Solve for n
Subtract n on both sides: 2n = 16Divide 2 on both sides: n = 8A group of students go out to lunch. If four have burritos and two have tacos, the bill will be $19.00. If three have burritos and three have tacos the bill will be 17.25. Find the price of each burrito and taco
Answer:
burritos cost $4
tacos cost $ 1.75
Step-by-step explanation:
let b represent the price of burritos
let t represent the price of tacos
3b + 4t = 19
5b + 3t = 25.25
multiply the first equation by -3 and second by 4 to eliminate t
-3(3b + 4t = 19)
4(5b + 3t = 25.25)
-9b - 12t = -57
20b + 12t = 101
add both equations
11b = 44
11 11
b = 4
substitute b = 4 into any equation to find the price of tacos
3b + 4t = 19
3(4) + 4t = 19
12 + 4t = 19
-12 -12
4t = 7
4 4
t = 1.75
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither
Answer:
Step-by-step explanation:
(1). [tex]\frac{1}{7}[/tex] x + y = 9 and y = - 7x ( Neither ) ; lines intersect.
(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.
(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] , slopes are opposite reciprocals.
(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.
(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex] , slopes are opposite reciprocals.
Solve for x using the
distributive property
4(x + 2) = 4
Answer:
-1
Step-by-step explanation:
4x + 8 = 4
subtract 8 from each side
4x = -4
divide each side by -4
x= -1
Answer:
x = -1
Step-by-step explanation:
You would first multiply 4 with is the first number by x and 2. You would get 4x+8. The you would subtract 8 by both sides. 4x = -4. The you would divide 4 by -4. Which will get you -1.
:)
ngl i kinda wanna boo anyone down :)
Answer:yo it’s me leo remember me my acount got deleted
Step-by-step explanation:
Help me please I need this
Answer:
i think the answer is -13
Step-by-step explanation:
b-6= -7-6
=-13
your correct answer is 13
I am sure it's correct... just go for it
Solve for x in the parallelogram below.
Answer:
its 6
Step-by-step explanation:
-6+15x=84- add 6 to 84
15x=90 divide
x=6
Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?
Which property of equality should be used with the equation c+5=78 to solve?
Answer:
the subtraction property of equality
Step-by-step explanation:
We use the "subtraction property of equality" to solve for the unknown in the equation:
c + 5 = 78
subtract 5 from both sides:
c + 5 - 5 = 78 - 5
c = 73
solve the system of function by graphing. Then classify the system.
f(x) = x + 4
g(x) = -5x + 10
Answer:
Step-by-step explanation:
One friend claims that to find the height of the platform, you need to use the tangent ratio. Explain why her approach is or is not a reasonable
approach to finding the height of the platform.
Find the height of the platform. Explain the trigonometric ratio that you chose and why you chose it. Show your work.
Find the horizontal distance from the bottom of the ramp to the bottom of the platform. Show your work.
Answer:
x ≈ 1.64 my ≈ 3.09 mStep-by-step explanation:
ABC is right triangleAngle A and side AB givenSide BC to be foundUse sine of A to find the length of missing side:
opposite/hypotenuse = sinBC/AB = sin Ax/3.5 = sin 28x = 3.5* sin 28x = 3.5*0.47 ≈ 1.64 mHorizontal distance y is:
y = √3.5²-1.64²= √9.5604 = 3.09 m(06.01)
What is the value of the expression 62 +33? Someone HELP meee
Answer:
21
Step-by-step explanation:
Trust me its correct
Mark me brainliest
Question 3 (Fill-In-The-Blank Worth 2 points)
(06.01)
What is the value of the expression 62 + 33?
Numerical Answers Expected!
Answer for Blank 1:
21
Answer:
95.
Step-by-step explanation:
62 + 33 do 60+30 then add 5
We are told that the two players, taken together, scored a total of 49 points. What is the probability that player A scored first?
Answer:
1/2 or 50% probability
Step-by-step explanation:
There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:
AB where player A is the first player to score, we wouldn't have BA since player would not be the first here
Probability = number of favorable outcomes/total number of outcomes
Therefore probability of A being the first player = number of A/total number of players
=1/2 = 0.50
There is therefore a 50% chance of A being the first player
What is the rate of change of y with respect to x for 9x-11y+2=0?
Answer:
the rate of chnge would be 9/11x
Step-by-step explanation:
here's a pic of my process:
En un Gran Premio de Fórmula 1, diez pilotos han obtenido estos tiempos en la clasificación. ¿Cuál es el orden de salida?
Answer:
WHat did he say
Step-by-step explanation:
5. A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting
the curved surface of the pillar at the rate of 12.50 per m.
Answer:
The cost of painting the curved surface of pillar is: 68.69
Step-by-step explanation:
Given that
Diameter of pillar = d = 50 cm
As the height is in meters and we have to find the cost in per square meter, we have to convert cm into meters.
So,
d = 50/100 = 0.50 m
Now the radius will be:
[tex]r = \frac{d}{2} = \frac{0.50}{2} = 0.25m[/tex]
Also
Height = 3.5m
The curved surface area of cylinder is given by:
[tex]CSA = 2\pi rh[/tex]
Putting the values
[tex]CSA = 2 * 3.14 * 0.25 * 3.5 = 5.495\ m^2[/tex]
It is given that the cost per square meter is 12.50
The total cost for 5.495 m^2 will be: 12.50 * 5.495 = 68.6875
Rounding off to nearest hundredth: 68.69
Hence,
The cost of painting the curved surface of pillar is: 68.69
Find the number if 12/13 of it is 24 plz help
Step-by-step explanation:
12/13 of a number = 24
13/13 of a number = 24 * (13/12) = 26
Hence the number is 26.
Answer:
26
Step-by-step explanation:
Let n be the number. Then:
12n/13=24
n=13/12 x 24
=26 ..............
Tait earns $89,000 this year. He gets a cost of living raise to compensate for yearly inflation of 396. What will his raise be next year?
Step-by-step explanation:
His raise is 3% of 89.000
.03*89.000=$2.670
His new salary is ( to get the number you need to add 89.000+2.670={$91.67})
Tait's raise in the coming year will be $2,670
Question meant to say that the inflation is 3%.
Inflation refers to the general rise in the price of goods and services in a country. It therefore makes a currency weaker because that currency will only be able to buy less than it could before.
The raise will have to be 3% as well to ensure that inflation does not affect Tait
The raise is based on his salary so can be found by:
= Amount Tait earns x Inflation rate
= 89,000 x 3%
= $2,670
In conclusion, the raise is $2,670
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the greatest number that divide 60 and 84 without leaving a reminder
Step-by-step explanation:
HCF of 60 and 84 = 6
So the required greatest number that divides 60 and 84 without leaving remainder is 6.
Which expression represents
"thirty-eight less than the sum of forty and nineteen"?
A 38 – 40 + 19
® 38 - (40 – 19)
19+ (40 – 38)
D (40+ 19) – 38
Answer:
(40+ 19) – 38
Step-by-step explanation:
We need to find the expression for "thirty-eight less than the sum of forty and nineteen".
Sum of forty and nineteen = 40 + 19
38 less than the above is 40 + 19 - 38
Overall expression is :
(40 + 19) - 38
Hence, the correct option is (d) "(40+ 19) – 38".
The cost to fill a car’s tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 30 gallons.
Answer:
ok so firstly you need a graph to decipher what the answer will be
Step-by-step explanation:
So due to that error i am unable to complete the problem because you did not provide enough information
Duela de 1a 1 1/2 x 10 x 3, $ 120.00 m2
¡Hola!
¿Qué puede significar una duela de 1 a 1 1/2 x10x3 $ 120.00m2?
Este ejercicio es para que puedas acomodar la información para que quien la lea tenga una forma de entenderla claramente así:
1. Primero podríamos decir que una duela es una tabla de madera que se curva y contornea los barriles o también las tablas de los pisos.
2. Lo siguiente es para confirmar que la mesa es de excelente calidad, es decir, Primera o.
3. 1, puede hacer referencia a una unidad.
4. 1/2 x10x3 este puede ser su volumen en centímetros 1 / 2cm de alto, 10cm de largo y 3cm de ancho.
5. Por último, el precio de la duela, 120.000 dólares el metro cuadrado.
Entonces podemos organizar todo esto:
Duela de Primero, 1 unidad; 1/2 cm de alto, 10cm de largo y 3cm de ancho, con un precio de $ 120.00 el metro cuadrado.
¡Espero haber ayudado!
what is the slope and intercept of this equashion y = -9x + 3
Answer:
slope is -9
y intercept is 3
Step-by-step explanation:
its in the equation
X is carrying out a series of experiments which involve using increasing amounts of a chemical. In the first experiment he uses 6g of the chemical and in the second experiment he uses 7.8g of the chemical.
(i) Given that the amounts of the chemical used form an arithmetic progression, find the total amount of chemical used in the first 30 experiments. [4]
(ii) Instead it is given that the amounts of the chemical used form a geometric progression. X has a total of 1800g of the chemical available. Show that N, the greatest number of experiments possible, satisfies the inequality
1.3N ≤ 91.
and use logarithms to calculate the value of N.
Answer:
a) 963g
b) 17
Step-by-step explanation:
i) Now we must first find the common difference of the AP
d = 7.8 -6 = 1.8
Now the sum of the AP gives the total amount of chemical used for 30 experiments
Sn = n/2 [2a + (n-1)d]
n= 30, a = 6, d= 1.8
Sn = 30/2[2(6) + (30-1) (1.8)]
Sn = 15[12 + 52.2]
Sn = 963g
ii)For the G.P the common ration is (r)= 7.8/6 = 1.3
Since r>1, sum of GP = a (r^n -1)/r-1
If sum = 1800g
1800= 6(1.3^n -1)/1.3 - 1
1800 = 6(1.3^n -1)/0.3
1800 * 0.3 = 6(1.3^n -1)
540 = 6(1.3^n -1)
540/6 = (1.3^n -1)
90 = 1.3^n -1
90 + 1 = 1.3^n
1.3^n = 91
log 1.3^n = log 91
nlog1.3 = log 91
n = log91/log 1.3
n = 1.959/0.114
n = 17
Answer:
a) 963g
b) 17
Step-by-step explanation:
i) Now we must first find the common difference of the AP
d = 7.8 -6 = 1.8
Now the sum of the AP gives the total amount of chemical used for 30 experiments
Sn = n/2 [2a + (n-1)d]
n= 30, a = 6, d= 1.8
Sn = 30/2[2(6) + (30-1) (1.8)]
Sn = 15[12 + 52.2]
Sn = 963g
ii)For the G.P the common ration is (r)= 7.8/6 = 1.3
Since r>1, sum of GP = a (r^n -1)/r-1
If sum = 1800g
1800= 6(1.3^n -1)/1.3 - 1
1800 = 6(1.3^n -1)/0.3
1800 * 0.3 = 6(1.3^n -1)
540 = 6(1.3^n -1)
540/6 = (1.3^n -1)
90 = 1.3^n -1
90 + 1 = 1.3^n
1.3^n = 91
log 1.3^n = log 91
nlog1.3 = log 91
n = log91/log 1.3
n = 1.959/0.114
n = 17
question down below thanks
How do you turn a percentage into a fraction?
Answer:
write the percent divided by 100
Step-by-step explanation:
1) write the percent divided by 100.
2) if the percent is not a whole number, multiply both top and bottom by 10 for every number after the decimal point.
3) reduce (simplify) the fraction.
simplify : 3ac + 5ab – 4ab + ac + 8bc
Answer:
4ac + ab + acb Dont mind this, i just need to have this 20 or more characters long: dhdudhsjsksksksjdhdhdjudjsjsjsjssjsjdudhd
The graph of x < 3 or x > 5 would look like:
Answer:
Solution in photo
Step-by-step explanation: