exponential growth\n#1 salmonella is a dangerous bacteria that can be harmful when consumed.\nthe formula n…

exponential growth\n#1 salmonella is a dangerous bacteria that can be harmful when consumed.\nthe formula n = (a)2^t/20 estimate the number of salmonella bacteria will be present after t minutes under optimal conditions.\n a) if the initial sample contains 480 bacteria cells, how many will there be in 1 hour?\n b) if the initial sample contains 480 bacteria cells, how many will there be in 1 day?\n#2 murray wants to invest his summer earnings of $2440. he has three options to invest:\n i) a plan that pays 3% interest compounded annually.\n ii) a plan that pays 2.8% interest compounded monthly.\n iii) a plan that pays 2.6% interest compounded weekly.\n which option should murray choose to maximize his earnings if he were to keep his money in the plan for 5 years?\n#3 a speedboat was purchased in 2010. the value of the speedboat has been depreciating by 5% every year since its purchase and is now worth $81075.\n i. how much did the speedboat cost in 2010?\n ii. how much was speedboat including tax (13%)?\n iii. how much was the speedboat worth if the owner had it valued in 2017?\ncircle your chosen question and answer it below:

exponential growth\n#1 salmonella is a dangerous bacteria that can be harmful when consumed.\nthe formula n = (a)2^t/20 estimate the number of salmonella bacteria will be present after t minutes under optimal conditions.\n a) if the initial sample contains 480 bacteria cells, how many will there be in 1 hour?\n b) if the initial sample contains 480 bacteria cells, how many will there be in 1 day?\n#2 murray wants to invest his summer earnings of $2440. he has three options to invest:\n i) a plan that pays 3% interest compounded annually.\n ii) a plan that pays 2.8% interest compounded monthly.\n iii) a plan that pays 2.6% interest compounded weekly.\n which option should murray choose to maximize his earnings if he were to keep his money in the plan for 5 years?\n#3 a speedboat was purchased in 2010. the value of the speedboat has been depreciating by 5% every year since its purchase and is now worth $81075.\n i. how much did the speedboat cost in 2010?\n ii. how much was speedboat including tax (13%)?\n iii. how much was the speedboat worth if the owner had it valued in 2017?\ncircle your chosen question and answer it below:

Answer

Explanation:

Step1: Convert time to minutes for part a

1 hour = 60 minutes.

Step2: Substitute values into formula for part a

Given $a = 480$, $t=60$ and formula $N=a\times2^{t/20}$, we have $N = 480\times2^{60/20}=480\times2^{3}$. $N = 480\times8=3840$.

Step3: Convert time to minutes for part b

1 day = 24 hours, 1 hour = 60 minutes, so 1 day = 24×60 = 1440 minutes.

Step4: Substitute values into formula for part b

Given $a = 480$, $t = 1440$ and formula $N=a\times2^{t/20}$, we have $N=480\times2^{1440/20}=480\times2^{72}$. $N=480\times4722366482869645213696\approx2.266736\times 10^{14}$.

Answer:

a) 3840 b) $480\times2^{72}\approx2.266736\times 10^{14}$