Urgent)
in the year 2000, the population of mexico was about 100 million, and it was growing by 1.53% per year. at this growth rate, the function f(x) = 100(1.0153)^x gives the population, in millions, x years after 2000. using this model, in what year would the population reach 106 million? round your answer to the nearest year.

a 500
b 2004
c 2005
d 2002

B.  2004.

Step-by-step explanation:

f(x) =  100(1.0153)^x

When f(x) = 106 million:

106 = 100(1.0153)^x

(1 .0153)^x =   106/100 = 1.06

Taking logs:

x ln 1.0153 = ln 1.06

x = ln 1.06 / ln 1.0153

= 3.837

So  x = 4 years.

So the year is 2000 + 4 =  2004.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

d

step-by-step explanation:

i used the pitagoras theoreme