Question

Please help will give brainliest: If P=200e^0.02t, find t when P=450. Answer to 2 significant figures.

Answer 1

➡HERE IS YOUR ANSWER⬇

$p = 200 {e}^{0.02t} \: \: .....(i)$

From (i), putting p=450, we get

$450 = 200 {e}^{0.02t} \\ \\ or \: \: {e}^{0.02t} = \frac{9}{4} \\ \\ or \: \: log( {e}^{0.02t} ) = log(2.25 )\\ \\ or \: \: 0.02t = log(2.25) \\ \\ or \: \: t = \frac{log(2.25)}{0.02} \\ \\ or \: \: t = 17.609 \: \: (approx.)$

⬆HOPE THIS HELPS YOU⬅