Certain bunny rabbits reproduce at a continuous rate of 200% a year. assuming that a warren starts with 10 bunny rabbits calculate the number of rabbits after 3 years (assume none of the bunny rabbits meet with misadventure).a. 6072
b. 4034
c. 32
d. 561
e. 23
f. 123

The correct option would be 'B. 4034'.

Step-by-step explanation:

If a population grows continuously

Then the final population is

Where,

= Initial population

t = Number of period

r = rate of increasing per period

We have

= 10

r = 200%= 2  

t = 3 years

Hence, the population of rabbits, after 3 years is,

Therefore, option B is correct.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

36

step-by-step explanation: