complete the table shown to the right for the population growth model for a certain country. the projected…

complete the table shown to the right for the population growth model for a certain country. the projected 2045 population is □ million. (round to one decimal place as needed.)

complete the table shown to the right for the population growth model for a certain country. the projected 2045 population is □ million. (round to one decimal place as needed.)

Answer

Explanation:

Step1: Calculate the number of years

The number of years ( t = 2045 - 2006=39 )

Step2: Use the population growth formula

The population growth formula is ( P = P_0e^{kt} ), where ( P_0 = 127.5 ), ( k=0.0122 ), and ( t = 39 )

Substitute the values into the formula: ( P=127.5e^{0.0122\times39} )

First, calculate ( 0.0122\times39 = 0.4758 )

Then, ( e^{0.4758}\approx1.6097 )

Finally, ( P = 127.5\times1.6097\approx205.3 )

Answer:

( 205.3 )