All categories

2 years ago

I need help with 20 and 21

Mathematics

1 answer:

7nadin3 [17]2 years ago

6 0

Https://us-static.z-dn.net/files/d63/6f064638901e33bea26f4fc25a74aa69.jpg

You might be interested in

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

Jefferson Middle School needs to see a 300% gain in PTO fundraiser

Ronch [10]

Given parameters:

Percentage gain = 300%

Selling cost last year = $2420

Unknown:

Selling cost this year = ?

Solution:

To solve this problem;

Profit percent = $\frac{Selling cost this year - Selling cost last year}{Selling cost last year} x 100$

300 = $\frac{S - 2420}{2420} x 100$

3 = $\frac{S - 2420}{2420}$

S- 2420 = 7260

S = $9680

To make a 300% gain, Jefferson Middle school needs a $9680 from fundraiser sales this year.

6 0

2 years ago

The Stock Market nadia is a stockbroker. earns % commission each week. Last week, she earned $ in commission. How much were h

Bond [772]

Hi my name is nadia so i felt like answering this lol. this question is missing a lot of things. it doesn’t look like i can answer it.

5 0

1 year ago

Convert <br> 36 cm/s to mph

Anton [14]

0.805 mph equals 36 centimeters/seconds

3 0

2 years ago

Which expression is equivalent to a^3 • b^3 • a^-3 • b?

Dmitry [639]

The answer is B! b^4. If we examine the expression given, we have a^3 * b^3 * a^-3 * b= a^3/a^3 * b^3 * b = 1 * b^4

Hope this helps! Any questions please feel free to ask!!

Thank you!!

3 0

2 years ago