MATH SOLVE

3 months ago

Q:
# Inâ 2001, the population in a town was 11% more than it was in 2000. If the population was 25,570 in 2002 which was 10% more than 2001 find the population in 2000write the number (Round to the nearest wholeâ number.)

Accepted Solution

A:

Answer: There was population of 22808 in 2000.Step-by-step explanation:Since we have given that Population was in 2002 = 25,570According to question, the population in 2002 was 10% more than 2001.So, the population in 2001 was[tex]25570=P_1(1+\dfrac{r}{100})\\\\25570=P_1(1+\dfrac{10}{100})\\\\25570=P_1(1+0.1)\\\\25570=P_1(1.01)\\\\\dfrac{25570}{1.01}=P_1\\\\25316.8\approx 25317=P_1[/tex]Now, we have given that In 2001, the population in a town was 11% more than it was in 2000.So, population in 2000 was[tex]25317=P_0(1+\dfrac{r}{100})\\\\25317=P_0(1+\dfrac{11}{100})\\\\\25317=P_0(1+0.11)\\\\25317=P_0(1.11)\\\\P_0=\dfrac{25317}{1.11}\\\\P_0=22808[/tex]Hence, there was population of 22808 in 2000.