A population of protozoa develops with a constant relative growth rate of 0.8329 per member per day. On day zero the population consists of six members. Find the population size after four days. (Round your answer to the nearest whole number.)

The population size after four days is calculated as 168.

Step-by-step explanation:

Let the population size be P

 t be the time variable which is measured in hours

Therefore,

by the differential equation    

= 0.8329P

So,by solving and expifying the equation on both sides, we get

P = Ae^0.8329t

Therefore,from the first equation we get

P(0) = 6,  

A = 6.

Therefore the population size after four days is

P(4) =

= 168( rounded to nearest whole number)

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.