There are 20 goldfish in a pond. their population is increasing by 20% each year. the same pond has 100 minnows. the minnow population is increasing by 10 minnows each year. make a graph to find the year that the two species of fish will have the same population. in what year will the fish populations be approximately the same?

13.5 years.

Step-by-step explanation:

We know that exponential growth function is in form , where, a is initial value and r is growth rate in decimal form.

Population of goldfish after x years would be .

We know that a linear function is in form , where, b is initial value and m is slope.

Population of minnow after x years would be .

Graphing both equations, we will get our required graph as shown in the attachment.

Since both graphs intersect at , therefore, in the 13.5 years both populations will approximate the same.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: