the point at which a company costs equals it's revenue is the break even. find the number of units that must be produced and sold in order to break even. c=15x+12,000. R=18x-6000

Answer:

it could help you so you don't have to count on your fingers

Step-by-step explanation:

5 divided by 2

5 times 2 = 10

so your answer would be 2

Answer:

x=4 and y=0

Step-by-step explanation: To solve, solve for x and y by substituting for the opposite intercept. For y, substitute x for 0 (since the coordinates for the x-int are always 0). Do the same for x.

   Check:

3(4)+8(0)=12

      and

8(4)+3(0)=32

Hope this helps,

Lacia :))

The point of intersection of the two lines is (109/19, 61/19).

What is Linear equation ?

Linear equation can be defined as equation in which highest degree is one.

To determine the point of intersection of the following pairs of lines:

2x - 3y - 4 = 13

5x = -2y + 25

We need to find the values of x and y that satisfy both equations simultaneously. We can solve for one variable in terms of the other in one of the equations and substitute it into the other equation. Let's solve for y in the first equation:

2x - 3y - 4 = 13

-3y = 13 - 2x + 4

-3y = 17 - 2x

y = (2/3)x - (17/3)

Now we can substitute this expression for y into the second equation:

5x = -2y + 25

5x = -2((2/3)x - (17/3)) + 25

5x = (-4/3)x + 34/3 + 25

5x = (-4/3)x + 109/3

(19/3)x = 109/3

x = 109/3 * 3/19

x = 109/19

Now that we know x, we can substitute it back into either equation to find y. Let's use the equation we found for y earlier:

y = (2/3)x - (17/3)

y = (2/3)(109/19) - (17/3)

y = 61/19

Therefore, the point of intersection of the two lines is (109/19, 61/19).

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The resultant normal force at point D along the x-direction is \(F_D_x=0\) and  the resultant shear force at point D along the y-direction is \(F_D_y=154.29N\)

Consider the equilibrium of the shaft.

Resolve the forces along the y-direction.

\(R_A_y+R_B_y=200+200+80+80R_A_y+R_B_y=560-----(1)\)

Take moments about point B and about the z-axis:

\(R_A_y*1.4=2*100*0.7+2*80*0.4\\\\R_A_y=245.71\)

Substitute the above value in equation (1).

\(245.71+R_B_y=560\\\\R_B_y=314.29N\)

Resolve the forces along the z-direction.

\(R_A_z+R_B_z=385+385R_A_z+R_B_z=770-----(2)\)

Take moments about point B and about the y-axis:

\(R_A_z*1.4=2*385*1.1\\\\R_A_z=605N\)

Substitute the above value in equation (2).

\(605+R_B_z=770\\\\R_B_z=165N\)

a) The resultant normal force at point D along the x-direction is

\(F_D_x=0\)  

b) The resultant shear force at point D along the y-direction is

\(F_D_y-R_B_y+2*80=0\\\\F_D_y-314.29+160=0\\F_D_y=154.29N\)

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Answer: f(3) = g(6)

Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer

Answer:

$23,465

$4,693

Step-by-step explanation:

To find a percent of a number, multiply the percent by the number.

6.5% of $361,000 = 0.065 × $361,000 = $23,465

20% of $23,465 = 0.2 × $23,425 = $4,693

Given parameters:

Number of hours worked by Peter = 6.5hrs

His friend Joseph works \(1\frac{2}{3}\) hours more than Peter;

Unknown:

Number of hours Joseph can work more than Peter = ?

This problem is pretty straight forward.

We see from the given parameters, it was explicitly stated that Joseph, the friend of Peter works \(1\frac{2}{3}\) more hours .

Therefore, Peter's friend worked \(1\frac{2}{3}\) more hours.

Answer:

f(x)=2/3.3=1/6=0,2

f(x)=0,2

The domain of the function g ( x ) = √ x − 3 / x − 11 is R - 11.

Inputs are assigned outputs by functions. The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

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Answer:

468.4 meters

Step-by-step explanation:

Find the width of the rectangle.

The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.

A=length*width

8,400=140*width

60= width

Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a​ circle, the perimeter of the two semicircles is equal to the circumference of one circle.

The circumference of a circle is equal to pi​d, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.

​So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.

≈188.4

(2 times 140)+ 188.4

​So, the perimeter of the track is 468.4 meters.

Answer:

X will equal 10 x=10

Step-by-step explanation:

First subtract 100 from both sides to get x^2-20x=-100 then find c. (-b/2)^2 is the formula. then c=100 so add 100 to both sides. x^2-20x+100=200. Then Factor. (x-10)^2=0 is what you should get. then do square root. x-10=0. So now add 10 to both sides and you get x=10. Tada!

Step-by-step explanation:

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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Clara can reach a height of 2.57 meters when she jumps.

Given information:

The ceiling in Clara’s basement is 2.75 meters high.

When Clara jumps she is 18 centimeters short of being able to touch the ceiling.

We can start by converting the height of the ceiling and Clara's jump to the same units, either meters or centimeters. Let's convert Clara's jump to meters:

18 centimeters = 0.18 meters

Now we can subtract Clara's jump from the height of the ceiling to find how high she can reach:

2.75 meters - 0.18 meters = 2.57 meters

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Answer:

21.9

Step-by-step explanation:

assuming you are asking about how much miles per gallon you got 21.9 would be the answer you just simply divide 527 by 24

Answer:

21.96 miles per gallon

Step-by-step explanation:

Functions OB and OC are linear. Option a and b are both linear.

A function F is said to be linear if it satisfies the two conditions of additivity and homogeneity. Additivity means that if we have two vectors v and w, then F(v+w) = F(v) + F(w). Homogeneity means that for any vector v and scalar k, F(kv) = kF(v).

In this case, we can test whether the given functions F are linear.

For F(A) = det(A), we can see that it is not linear since det(A+B) does not necessarily equal det(A) + det(B), and det(kA) does not necessarily equal k*det(A).

For F(A) = det(ATA), we can use the fact that det(AB) = det(A)*det(B) to rewrite it as det(A)*det(AT), which equals det(A)*det(A) since det(AT) = det(A). Therefore, we have F(A+B) = det((A+B)(A+B)T) = det(AA + AB + BA + BB) = det(AA) + det(AB) + det(BA) + det(BB). But since det(AB) = det(A)*det(B) and det(BA) = det(B)*det(A), we can simplify this to det(A)det(A) + det(B)det(B) + 2det(A)det(B) = F(A) + F(B) + 2det(A)det(B). This means that F(A+B) = F(A) + F(B) + 2(det(A)*det(B)), which shows that F(A) is not linear since the 2(det(A)*det(B)) term violates homogeneity.

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--The complete question is, In the following, v and w are vectors in R and A is a 3 × 3 matrix. F is a function mapping from R3--> R or R3x3 → R according to the given definitions. Which of the following functions F are linear?
a. OB, F(A) = det(A)
b. OC, F(A) = det(ATA)--

The graph of the function y = 1/3x - 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Answer:

  26%

Step-by-step explanation:

Your 36 monthly payments will total ...

  36 × $205.10 = $7383.60

$5860 of that is the amount you borrowed. The remainder is the interest you pay:

  $7383.60 -5860 = $1,523.60

As a percentage of the original loan amount this is ...

  $1523.60/$5860 × 100% = 26%

You pay back 26% of the original loan amount in interest.

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

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There are total 66,000 ways the six roles can be assigned.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since only a man can play a male role,

We have 5 options for the first male role and 4 options for the second male position (because a guy cannot play both roles).

So there are 5x4 = 20 options for male roles.

Next, consider how many different ways the female positions can be filled. Because only a woman can play a female role,

We have six options for the first female role and five options for the second female position (because a woman cannot play both roles).

So there are 6x5 = 30 possibilities for female roles.

Finally, consider how many different ways the gender-neutral roles can be filled. Because any of the 11 actors can play these parts,

We have 11 options for the first gender-neutral role and 10 options for the second (because one actor cannot play both roles).

So there are 11x10 = 110 possibilities for gender-neutral jobs.

To find the total number of ways the six roles can be assigned,

we multiply the number of ways to fill each set of roles,

Hence,

20 x 30 x 110 = 66,000.

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Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.

Step-by-step explanation:

First graph

The vertex: (1, -10)

Domain: all real numbers

Range: all real numbers greater than -10

zeroes: 2

Axis of symmetry: x = 1

Y- intercept: (0, -10)

second graph

The vertex: (-1, 0)

Domain: all real numbers

Range: all real numbers less than 0

zeroes: 1

Axis of symmetry: x = -1

Y- intercept: (0, -3)

The vertex is the summit of the curve at this point the curve bends and values either start to increase or decrease

The points are trace using the graph. the x values of the vertex gives the axis of symmetry

The axis of symmetry is the line that shares the curve into two equal parts

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Answer:

\(S_{n}\) = n² + 4n ; n = 11

Step-by-step explanation:

\(S_{n}\) = \(\frac{n}{2}\) [2 \(a_{1}\) + (n - 1)d]

~~~~~~~~~

\(a_{1}\) = 5

d = 7 - 5 = 2

\(S_{n}\) = \(\frac{n}{2}\) [ 2(5) + 2(n - 1)] = \(\frac{n}{2}\) ( 8 + 2n ) = 4n + n²

\(S_{n}\) = n² + 4n

n² + 4n = 165

n² + 4n - 165 = 0

(n + 15)(n - 11) = 0 ( n ≥ 0 ) ⇒ n = 11

6 bottles are required for a 14 day supply.

One bottle contains 15 tablets and the dosage is two tablets thrice daily for 14 days, we need to find the quantity of tablets required. Let's calculate it. Quantity needed We know,

Total tablets required=Tablets required

per day x Days

To find the total tablets required, we first need to find the tablets required per day. Tablets required per day Given that,2 tablets are taken thrice daily,

Therefore the tablets required

per day= 2 x 3 = 6 tablets Per day, 6 tablets are required.

Total tablets required Now we can find the total tablets required by multiplying the tablets required per day by the number of days. Hence,

Total tablets required = Tablets required per day x Days= 6 tablets/day x 14 days= 84 tablets14 day supply has to be made with the given 15 tablets per bottle.

Hence, Quantity needed = Total tablets required/ Tablets per bottle= 84/15 = 5.6 or 6 bottles

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Answer:

haach f,f msfmavfb

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its 4.51

Answer:

6,200

Step-by-step explanation:

19-20

307-310

310 x 20= 6,200 or 20 x 310= 6,200