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
IrinaK [193]
2 years ago
5

The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

exponentially according to the model, P ( t ) = 466 ⋅ 1.035 t , where t t is the number of years since 1990. In what year is it predicted that 900 million passengers will travel by airline?
Mathematics
1 answer:
taurus [48]2 years ago
6 0

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

19.1331927775=t\\\\t=19.1331927775

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

1990+20=2010

Therefore, 900 million passengers would travel by airline in 2010.

You might be interested in
Please help!!!will get brainliest!
il63 [147K]
Turn the information into coordinate points.

Point = (time, population)

Point 1 = (1985, 45000)
Point 2 = (2004 , 26000)

Find the slope between these points using the formula

( Slope)—> m = (y2 - y1) / (x2 - x1)
26000-45000/2004-1985=-19000/19= -1000
Average rate of change is decrease of 1000 sea lion per year

I hope that helped
6 0
3 years ago
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!
Marrrta [24]

Answer:

For 10 plot a point 3 lines back and 5 lines back

For 11 its 2

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
ILL GIVE BRAINLEST
lukranit [14]

Answer:

not a function

Step-by-step explanation:

3 - 2 = 1

2 - 5 = -3

5-6 = -1

6-7 = -1

4 0
3 years ago
Read 2 more answers
The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality
docker41 [41]

Answer:

<u>k = 220</u>

Step-by-step explanation:

<u>Proportion of y and x</u>

  • y = kx

<u>Given</u> :

  • y = 55
  • x = 1/4

<u>Solving</u> :

  • 55 = k/4
  • k = 55 x 4
  • <u>k = 220</u>
4 0
1 year ago
Which gives an equation for the line perpendicular to y = 2/3x + 1 that contains (0, 2) * O y = 3/2x + 2 O y = -3/2x + 2 O y = 3
andrew11 [14]

Answer:

y = -\frac{3}{2}x + 2

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept(value of y when x = 0).

If two lines are perpendicular, the multiplication of their slopes is -1.

Contains (0, 2)

This means that b = 2. So

y = mx + 2

Finding the slope:

Perpendicular to y = 2/3x + 1 means that:

\frac{2m}{3} = -1

2m = -3

m = -\frac{3}{2}

So

y = -\frac{3}{2}x + 2

7 0
2 years ago
Other questions:
  • I need to know how to work<br> This
    10·1 answer
  • eder needs 6 cookies and 2 brownies for every 4 plates he makes how many wikl eder need for 10 plates
    13·1 answer
  • What is perimeter? What is area? How can you find the perimeters and areas of triangles, parallelograms, rectangles, squares, an
    9·1 answer
  • Fazla has 30 coins, consisting of quarters and
    12·2 answers
  • Complete the equation 3 to the 2nd power * 3 to the _____ power = 3 to the 10th power
    7·1 answer
  • I need help with this problem
    8·1 answer
  • Find the area of the figure.
    11·2 answers
  • Solve each inequality below and illustrate the solution on a number line.
    14·2 answers
  • A multiple-choice test has five questions, each with four choices for the answer. Only one of the choices is correct. You random
    11·1 answer
  • Can someone help me out
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!