The population of Leavetown is 123,000 and is decreasing at a rate of 2.375% each year. What will the population of Leavetown be 100 years from now?

Population of Leavetown in 100 years from now will be 11,324

Step-by-step explanation:

To find the decrease in population after a certain years, we will work with the formula below:

P(t) = Po (1 - r)^t

Where

P(t) = new population over time

Po = initial population

r = rate of decrease

t = time taken

In this case

Initial population Po = 123,000

Rate of decrease r = 2.357%

Time t = 100

Therefore

P(t) = Po (1 - r)^t

P(100) = 123,000 ( 1 - 2.357/100)^100

P(100) = 123,000 ( 1 - 0.02357)^100

P(100) = 123,000 (0.97643)^100

P(100) = 123,000 ( 0.092068)

P(100) = 11,324.4349

P(100) = 11,324

Population of Leavetown in 100 years from now will be 11,324

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.