The population, P, in millions, of Singapore was 4.16 million in 2004 and growing at an annual rate of 1.8%. Let t be time in years since 2004. (a) Express P as a function in the form P=P0at. P= (b) Express P as an exponential function using base e rounding the contiuous growth rate to five decimal places. P= (c) Compare the annual and continuous growth rates: The annual grouth rate is greater than the continuous growth rate.
The population, P, in millions, of Singapore was 4.16 million in 2004 and growing at an annual rate of 1.8%. Let t be time in years since 2004.
(a) Express P as a function in the form P=P0at.
P=
(b) Express P as an exponential function using base e rounding the contiuous growth rate to five decimal places.
P=
(c) Compare the annual and continuous growth rates:
The annual grouth rate is greater than the continuous growth rate.
Given that,
The population, P, in millions, of Singapore was 4.16 million in 2004 and growing at an annual rate of 1.8%. Let t be time in years since 2004.
a) To express P as a function in the form P=P0at:
From given annual growth rate of 1.8%,
Base is,
Also, given that initial population .
Substitute , , in
Thus, The population model is .
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