1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rama09 [41]
3 years ago
7

A truck driver operates a delivery service in a southern city. His​ start-up costs amounted to ​$2500. He estimates that it cost

s him​ (in terms of​ gasoline, wear and tear on his​ truck, etc.)​$3.00 per delivery. He charges ​$5.50 per delivery. Let x represent the number of deliveries he makes. ​(a) Express the cost C as a function of x. ​(b) Express the revenue R as a function of x. ​(c) Determine analytically the value of x for which revenue equals cost. ​(d) Graph y1equals​C(x) and y2equals​R(x) on the same​ xy-axes and interpret the graphs.
Mathematics
1 answer:
Alja [10]3 years ago
7 0

Answer:

(a)C(x) = 2500 + 3x

(b)R(x) = 5.5x

(c)x = 1000

Step-by-step explanation:

(a)His cost function as a function of x

C(x) = 2500 + 3x

(b)His revenue R function as a function of x

R(x) = 5.5x

(c)When revenue R equals to Cost C

C(x) = R(x)

2500 + 3x = 5.5x

2.5x = 2500

x = 1000

(d) Refer to attachment. We can see that the 2 lines intercepts at x = 1000 and y = 2500. That's the point of turning to profit.

You might be interested in
A student has a savings account earning 3% simple interest. She must pay $1200 for first-semester tuition by September 1 and $12
Bingel [31]

Using simple interest, it is found that she needs to earn $2,391.07 during the summer.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

For this problem, the objective is to have <u>$1200 in 3 months = 0.25 years</u>, hence the parameters are given as follows:

A(0.25) = 1200, t = 0.25, r = 0.03.

Hence we have to solve for A(0):

A(0)(1 + 0.03 x 0.25) = 1200

A(0) = 1200/(1 + 0.03 x 0.25)

A(0) = $1,191.07.

She also needs to earn $1,200 to pay the first-semester bill on time, hence:

1200 + 1191.07 = $2,391.07.

She needs to earn $2,391.07 during the summer.

More can be learned about simple interest at brainly.com/question/16646150

#SPJ1

3 0
1 year ago
Please help me with this problem, please
Harman [31]

Answer:

sin(x) = 5/13

cos(y) = 5/12

Therefore, sin(x) = cos(y)

Step-by-step explanation:

Trig ratios:

sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}

where \theta is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle

We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs and c is the hypotenuse of a right triangle)

\implies 5^2+12^2=c"\\\\\implies 169=c^2\\\\\implies c=\sqrt{169}\\\\ \implies c=13

Now we can use the trig ratios:

\implies sin(x)=\dfrac{5}{13}

\implies cos(y)=\dfrac{5}{13}

Therefore, sin(x) = cos(y)

8 0
2 years ago
Help Pleasss I will give brainlyest!!!! :D
Savatey [412]

Answer: The answer is 2,4. May I have the brainiest? pls I only need one more.

6 0
3 years ago
Equation of plane ( Cartesian form ) ~ ​
eimsori [14]

The equation for the cartesian form of representation of a plane is given by ax + by + cz = d.

<h3>What is the cartesian form?</h3>

The cartesian form is a mathematical model which is used for the graphical representation of either a point, line, or plane in a two-dimensional (2D) or three-dimensional (3D) plane.

Mathematically, the cartesian form of representation of a plane is given by this equation:

ax + by + cz = d.

<u>Where:</u>

  • a, b, c are the direction on each axis.
  • d is the distance from the origin.

Read more on cartesian form here: brainly.com/question/13147873

#SPJ1

6 0
2 years ago
The cost of a movie ticket is always less than $9 no matter the day of the week. Write an inequality to represent the c, cost of
Umnica [9.8K]

Answer:

c < $9

Step-by-step explanation:

c = unit cost of a movie ticket

This is always less than $9.  Therefore, the governing inequality is

c < $9

4 0
3 years ago
Other questions:
  • Graph the piecewise-defined function.
    12·1 answer
  • Of 1800 students enrolled in school 55% are girls. of the girls attending this school 30% take the bus to school
    11·1 answer
  • What is the value of the expression?<br><br> ​−4.2(−2.8+4.5)​
    8·2 answers
  • What is the difference of 13.2 - 6.56
    13·2 answers
  • Molly completed the multiplication below and said she needed eight cups of bananas for 4 batches of muffims.What is molly's erro
    9·1 answer
  • Help limited time!!!
    10·2 answers
  • Graph the equation<br>y = -x + 3​
    7·1 answer
  • Can someone help me with this ASAP please I’m being timed !
    13·1 answer
  • What is an equation of the line that passes through the points (1, 2) and (2, -1)?
    6·1 answer
  • Two angles are supplementary. One angle measures 2x, and the other angle measures 3x - 15. Which equation can you use to find th
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!