Question

The 1989 population of Mexico was estimated at 87,000,000. The annual growth rate is 2.4%. When will the population reach 100,000,000(to the nearest year)?

Answer 1

1995

Explanation:

Growth of 2.4% means 100+2.4 = 102.4% of the previous

102.4% = 1.024

100,000,000 = 87,000,000 × (1.024^n)

100/87 = 1.024^n

ln(100/87) = nln(1.024)

n = 5.871941941

Almost 6 years later,

1989 + 6 = 1995