Solve by using proper methods.

let's say that we had a 750 coyotes that were decreasing at a rate of 3% per year. how many years would it be until we had only 100 coyotes left? show your work.

Approximately after 66.15 years, there will be 100 coyotes left

Step-by-step explanation:

We can use the formula   to solve this.

Where

F is the future amount (F=100 coyotes)

P is the initial amount (P=750 coyotes)

r is the rate of decrease per year (which is -3% per year or -0.03)

t is the time in years (which we need to find)

Putting all the information into the formula we solve.

Note: The logarithm formula we  will use over here is  

So, we have:

Hence, after approximately 66.15 years, there will be 100 coyotes left.

Rounding, we will have 66 years

add an image

step-by-step explanation:

a² + b²= c²

24² + 7² = c²

c= 25