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
xxMikexx [17]
3 years ago
6

5. The rate of change in revenue for the Priceline Group from 2004 to 2013 can be modeled

Mathematics
1 answer:
Mumz [18]3 years ago
8 0

Answer:

a ) R(x)  = 0,2933*e∧0,2387*t

b) 5,9042 billions of dollars

Step-by-step explanation:

The rate of change in revenue  dR/dt for Priceline Group is

dR/dt =  0,07*e∧0,2387*t

dR = (0,07*e∧0,2387*t ) * dt

∫dR = ∫ (0,07*e∧0,2387*t ) * dt       between 2004  to 2013   ( t = 4 stands for 2004 and t = 13 stands for 2013 )

R(x)  =  (0,07/ 0,2387)*e∧0,2387*t )

R(x)  = 0,2933*e∧0,2387*t

Then

R(4)  = 0,2933*e∧0,2387*4

R(4) =  0,2933*2,5981

R(4) =  0,7602 billions of dollars

R(12)  = R(4) +   0,2933*e∧0,2387*12

R(12)  = 0,7602 +  5,1440

R(12)  =  5,9042 billions of dollars

You might be interested in
Which of the following statement(s) describes the rate of change of f over the interval 1.5 ≤ x ≤ 3? Select all that apply.
Vesnalui [34]

2 Answers: Choice B and Choice C

The rate of change is 2.

The rate of change is constant.

======================================================

Explanation:

The first point on the left is when x = 1.5 and it has a height of y = 1

The point (1.5, 1) is on the line.

So is the point (3,4) for similar reasoning.

Compute the slope between those points

m = (y2-y1)/(x2-x1)

m = (4-1)/(3-1.5)

m = 3/(1.5)

m = 2

The slope is 2, which is the same as saying the rate of change is 2. This only applies when x > 1 of which the interval 1.5 ≤ x ≤ 3  is a part of.

Since the slope stays at 2 on the interval 1.5 ≤ x ≤ 3, this means we consider the slope to be constant. If the curve bended at all on this interval, then it wouldn't be a constant slope.

6 0
2 years ago
What is the rate of change between the interval of x = 3 pi over 2 and x = 2π?
galina1969 [7]
Check the picture below.

\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
x_1=\frac{3\pi }{2}\\
x_2=2\pi 
\end{cases}\implies \cfrac{f(2\pi )-f\left( \frac{3\pi }{2} \right)}{2\pi -\frac{3\pi }{2} }\implies \cfrac{3-1}{\frac{4\pi -3\pi }{2}}\implies \cfrac{2}{\quad \frac{\pi}{2}\quad }\implies \cfrac{4}{\pi }

5 0
3 years ago
Read 2 more answers
is there a proportional relationship between the area of an enlarged rectangle and the area of the original rectangle
Maru [420]
I don’t think so because I haven’t done this sorry
6 0
3 years ago
PLEASE HELP ME <br>2x+45=90<br>​
arsen [322]

Answer:

x = 45/2 = 22.5 cm

Step-by-step explanation:

2x + 45 = 90

2x = 90- 45= 45

2x = 45

x = 45/2 = 22.5 cm

<em><u>plz </u></em><em><u>mark</u></em><em><u> my</u></em><em><u> answer</u></em><em><u> as</u></em><em><u> brainlist</u></em><em><u> plzzzz</u></em><em><u>.</u></em>

<em><u>hope</u></em><em><u> this</u></em><em><u> will</u></em><em><u> be</u></em><em><u> helpful</u></em><em><u> to</u></em><em><u> you</u></em> .

<em><u>if </u></em><em><u>you</u></em><em><u> find</u></em><em><u> it</u></em><em><u> useful</u></em><em><u>.</u></em>

8 0
3 years ago
What is the cube answer to 24
patriot [66]
Do you mean cube root because the cube root of 24 is 2.88 and other repeating decimals
7 0
3 years ago
Read 2 more answers
Other questions:
  • Combine like terms: 3p2q2-3p2q3+4p2q3-3p2q2+pq PLEASE HELP!!! ASAP!!!
    9·1 answer
  • Kelly Jackson is an administrative assistant. She earns a weekly salary of $412.00. She applied and wad hired for an administrat
    6·1 answer
  • What is another way to write 4 hundreds
    8·2 answers
  • Write the verbal sentence as an equation.<br> Fourteen minus the product of 3 and a number is 26.
    10·1 answer
  • A horizontal line goes through the point (–7,10).
    8·2 answers
  • Determine whether the given point (2, -2) lies on the line 3x – y = 4.
    8·1 answer
  • Help me pls it is on a time i got 30 minutes left
    12·2 answers
  • Write an equation in standard form of the line that passes through the given point and has the given slope (-8,0); m= -4 PLEASE
    10·2 answers
  • How many of each number are there 2, 13, 3, 5, 6, 2, 5, 12, 16, 2, 21, 0, 8, 4, 18, 10, 18, 11, 17, 8, 9, 20, 15, 15, 6, 3, 20,
    9·1 answer
  • PLEASE HELP :c
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!