the formula A231e00152t models the population of a US state

the formula A=23.1e^0.0152t models the population of a US state, A, in millions, t years after 2000.

a. What was the population of the state in 2000?
b. when will the population of the state reach 28.3 million?

a. in 2000, the population of the state was _____ million

b. the population of the state will reach 28.3 million in the year _____ (round down to the nearest year)

A=23.1e^0.0152t

t is the yrs after 2000
So, the yr 2000 itself is t = 0

So, we have

A = 23.1e^0

A = 23.1

So,
in 2000, the population of the state was 23.1 million

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28.3 = 23.1e^0.0152t

Dividing :
28.3/23.1 = e^(0.0152t)

1.2251082251082251 = e^(0.0152t)

ln(1.2251082251082251) = 0.0152t

t = 13.357

Rounded to the nearest integer, this is 13

So, it\'ll reach 28.3 mill
in 13 yrs, i.e in the year 2013