In 1995, there were 285 cell phone owners in the town of waverly. the number of cell phone owners increased by 75% per year after that. calculate the number of cell phone users there were in 2020.

339 465 839 users

Step-by-step explanation:

When we deal with a constant rate of change over a period of time, we can express it as an exponential equation:

y = a • b^x

a - starting point or starting value

b - rate of change usually written as a decimal number. Since rate here is 75% that means that the rate of change is 100% (starting value) + 75% (rate) = 175% or 1.75

x - exponent or, in this case, period of years (from 1995 to 2020, or 25 years)

So, basically, this can be written as:

y = 285 • 1.75^25

y = 339 465 839

The purpose of this problem is to show how quickly value can grow if it changes exponentially, it is highly unlikely for this town to have over 339 millions of cell phone users.

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west