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Wyatt put the $\$ 450$ she earned from her summer job into an account and will use it to pay for school expenses. She withdraws $10 \%$ of the remaining balance each month to pay for part of her living expenses. Which of the following functions models the balance, $B$, of Wyatt's money (in dollars) $t$ months after she started school?$\newline$Choose $1$ answer:$\newline$(A) $B(t)=450 \cdot(1.1)^{t}$$\newline$(B) $B(t)=450 \cdot(0.9)^{t}$$\newline$(C) $B(t)=450+1.1 t$$\newline$(D) $B(t)=450-0.9 t$