The rat population in a major metropolitan city is given by the formula \( n(t)=57 e^{0.02 t} \) where \( t \) is measured in years since 2003 and \( n(t) \) is measured in millions. What was the rat population in 2003 (Enter answer in millions, ie: \#\#\#,\#\#\#,\#\#\#)? \( 57,000.000 \) What does the model predict the rat population was in the year 2017 (Enter answer in millions, ie: \#\#\#,\#\#\#,\#\#\#)? \( 76,000.000 \) Submit Question

1. Convert the following to Logarithmie form a. \( 2^{5}=3_{2} \)

Samuel had \( \$ 287 \) more than Michelle at first. After Samuel had given \( \frac{2}{7} \) of his money to Michelle, Michelle had \( \$ 45 \) more than Samuel. How much money did Michelle have at first? Michelle had \( \$ \square \) at first.

Find the \( 12^{\text {th }} \) term of the following geometric sequence. \[ 10,40,160,640, \ldots \]

\( \delta ( x ^ { 2 } - 7 x > 0 \)

F) \( \frac{10^{20}}{10^{4}}= \) 9) \( \left(7^{-2}\right)^{3}= \) h) \( \left(\frac{7}{4}\right)^{2}\left(\frac{7}{4}\right)\left(\frac{7}{4}\right)^{6}= \) \( (49) \cdot(36)= \)