The town of Madison has a population of 25{,}00025,00025, comma, 000. The population is increasing by a factor of 1.121.121, point, 12 each year. Write a function that gives the population P(t)P(t)P, left parenthesis, t, right parenthesis in Madison t years from now.

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

where

P(t) is the population in Madison

t is the number of years

a is the initial value

b is the factor of growth

we have

substitute

6e14 is the answer.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)