The city of Anvil is currently home to 21000 people, and the population has been growing at a continuous rate of 4% per year. The city of Brinker is currently home to 7000 people, and the population has been growing at a continuous rate of 5% per year. In how many years will the populations of the two towns be equal

They'll reach the same population in approximately 113.24 years.

Step-by-step explanation:

Since both population grows at an exponential rate, then their population over the years can be found as:

For the city of Anvil:

For the city of Brinker:

We need to find the value of "t" that satisfies:

They'll reach the same population in approximately 113.24 years.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

just sum

10 + 10 = 20