An ant population starts at 1200 for a certain colony. As each month goes by in the winter, 6.5% of the population dies off. How many of the ants should be alive after 4 months? (Round to the whole ant.)

917 ants should be alive after 4 months.

Step-by-step explanation:

As each month goes by in the winter, 6.5% of the population dies off. It means that the population is decaying exponentially. We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the population after t months.

t represents the number of months.

P represents the initial population.

r represents rate of decay.

From the information given,

P = 1200

r = 6.5% = 6.5/100 = 0.065

t = 4 months

Therefore,

A = 1200(1 - 0.065)^4

A = 1200(0.935)^4

A = 917

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90