2. In year 2005, the population of
Jamaica was 2100284, and was
increasing at rate of 0.95% per year.
3. Write an equation to represent the population
of Jamaica as a function of number of years, y
since 2005..
4. Population of
Jamaica
P = Po (1+ ) yn
P = 2100284 ( 1 + 0.0095)y
P = 2100284 ( 1.0095)y
Where as: Increasing rate
P - amount of resulting population
Po- principle or original amount
r - percent rate
y - time in years
n – number of times the principle is *Given the equation of
compounded per year population growth, you
just have to plug in the
values
6. P = 2100284 ( 1.0095)y
2(2100284) = 2100284 ( 1.0095)y
2 = 1.0095y Use the equation we got
from the first question
ln2 = yln(1.0095)
y = ln(2) *It was stated that the
resulting amount (P)
ln(1.0095) should be doubled, so we
multiply 2 to the original
amount
y 73.3039
*Then we just solve for
(y) – the time in years it
will take to double
8. P = 2100284 ( 1.0095)y
3000000 = 2100284 ( 1.0095)y
3000000 = 2100284 ( 1.0095)y
2100284 2100284
ln (1.4284) = lny(1.0095) *This question is just the
same as the previous one.
y = ln(1.4284)
ln(1.0095) *We just put 3000000 as
the final value instead.
y 37.71