A population of510 bacteria is introduced into a culture and grows in number St according to the equation P(t)=5 1+ 46+? where t is measured in hours. Find the rate at which the population is growing when t= 3. Round your answer to two decimal places.

A radioactive material decays at a rate which is proportional to the amount of radioactivity remaining. If the amount of radioactivity remaining is denoted by N at the time t, form an equation which represents this statement. If the half-life (the time taken for half the radioactivity to decay) is 10 years, how long will it take for ¾ of the radioactivity to decay?

Find the consumers' surplus (to the nearest dollar) at a price level of p = $2.083 for the price-demand equation p = D(x) = 9 - In (x+ 6). Use x computed to the nearest higher unit. Cs = $ (Simplify your answer. Round to the nearest dollar as needed.)

A radioactive substance is decaying according to the formula y = Be-0.02t where y mg is the amount present t years from now. How long will it take for half the substance to decay? Round-off to the nearest integer.

The population of a bacteria colony after t hours is given by P() - 2000e00871 growth rate of the colony when 16 hours. Find the a.