Consider a rabbit population p(t) satisfying the logistic equation startfraction dp over dt endfraction equals ap minus bp squared , where upper b equals ap is the time rate at which births occur and upper d equals bp squared is the rate at which deaths occur. if the initial population is 220 rabbits and there are 9 births per month and 15 deaths per month occurring at time tequals0, how many months does it take for p(t) to reach 110% of the limiting population m?

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.