Answer:
[tex]P_t\approx 244 \ bees[/tex]
Step-by-step explanation:
-The bee's population follows an exponential decay of the form:
[tex]P_t=P_oe^{-rt}[/tex]
[tex]P_t[/tex] is the population at time t
[tex]P_o[/tex] is the initial population size
[tex]t, r[/tex] is time and rate of decay respectively.
#We substitute and solve [tex]P_t[/tex]:
[tex]t=6/2=3\\\\\therefore P_t=P_oe^{-rt}\\\\=700e^{-0.35\times 3}\\\\\\=244.96\\\\\approx 244\ bees[/tex]
-Since it's a decay, we round down any fractional amount in the population.
Hence, the population after 6 months is approximately 244 bees
Given the rate of decline of the populatiaon of the bees, the number of bees on the farm on March 1st is 192 .
The formula that can be used to determine the number of bees on the farm is:
FV = P (1 - r) nm
700(1- 0.35)^3 = 192
To learn more about future value, please check: https://brainly.com/question/18760477
