2 years ago

50 points worth

Mathematics

1 answer:

RUDIKE [14]2 years ago

8 0

Answer:

f(n) = $\frac{1}{4}$ (2)^(n-1)

Step-by-step explanation:

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

taurus [48]

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.

6 0

2 years ago

Tell whether each number is rational or irrational: Pi, -1/2, the square root of 2/3, and 0.57575757

DedPeter [7]

Pi: Irrational
√(2/3): Irrational

0.57575757 is rational
and -1/2 is rational.
I hope this helps.

5 0

3 years ago

What is the equation of the line that passes through the point (1,7) and is perpendicular to the graph of Y=-14X+11

vlada-n [284]

Y=1/14x might be the answer

4 0

3 years ago

Company 1 charges $12 per foot of fence. <br> Find the cost if Company 1 completes the job.

natta225 [31]

Step-by-step explanation:

how many feet of fence is he doing

5 0

2 years ago

110% of 90 is what?????????????????????????????

QveST [7]

110% of 90 is 99, 1.1*90=99

6 0

3 years ago