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Math·Advanced Math·Nonlinear functions

hard

$P(t)=260(1.03{)}^{\frac{3}{2}t}$

The function $P$ models the population, in thousands, of a certain city $t$ years after 2009. According to the model, the population is predicted to increase by $n\%$ every 8 months. What is the value of $n$?

A

$0.22$

B

$1.03$

C

$2$

D

$3$