contestada

1 point For a population that grows at a constant rate of r% per year, the formula P(1) = pol 1 + bo) models the popu- lation 1 years after an initial population of p, people is counted. 100 The population of the city of San Jose was 782,000 in 1990. Assume the population grows at a constant rate of 5% per year. According to this formula, which of the following is an expression for the population of San Jose in the year 2000 ?

Respuesta :

The model equation is

p(t) = Po (1 + r / 100)^t

Where r = rate

Po = Initial population

T = time

P(t) = Total population

Since

r = 5%

t = 10 years

P(o) = 782000

Substitute the above parameters into the modeled equation

P(t) = 782,000(1 + 5/100)^10

P(t) = 782,000 (1 + 0.05)^10

1 + 0.05 = 1.05

P(t) = 782,000(1.05)^10

P(t) = 782,000 x 1.62889

P(t) = 1,273,791.98

The answer is 1, 273, 791.98

Otras preguntas