A population of bacteria is growing according to the equation \( P(t)=850 e^{0.03 t} \). Use a graphing calculator to estimate when the population will exceed 924. \( t=\square \) Give your answer accurate to one decimal place.

Draw the graph of \( f(x)=\log _{3}(x-3)+4 \)

What is the end behavior of the graph of the exponential function \( f(x)=b^{x} \) when \( 0<b<1 ? \) (1 point) \( f(x) \rightarrow \infty \) as \( x \rightarrow \infty, f(x) \rightarrow 0 \) as \( x \rightarrow-\infty \) \( f(x) \rightarrow 0 \) as \( x \rightarrow \infty, f(x) \rightarrow \infty \) as \( x \rightarrow-\infty \) \( f(x) \rightarrow \infty \) as \( x \rightarrow \infty ; f(x) \rightarrow-\infty \) as \( x \rightarrow 0 \) \( f(x) \rightarrow \infty \) as \( x \rightarrow 0 ; f(x) \rightarrow-\infty \) as \( x \rightarrow-\infty \)

A population of bacteria is growing according to the equation \( P(t)=850 e^{0.03 t} \). Use a graphing calculator to estimate when the population will exceed 924. \( t=\square \) Give your answer accurate to one decimal place.

\( f(x)=3 e^{x+1} \), for \( x=-4 \) Your answer is \( f(-4)=\square \)

A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.) years