The rabbit population in a forest area grows at the rate of 7% monthly. If there are 180 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected by next September. Use .
A. 402
B. 408
C. 428
D. 415
I got 402, is this correct?
180 * (1 + .07)^12
To find out how many rabbits should be expected by next September, you can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the final amount (number of rabbits)
P = the initial amount (number of rabbits)
r = the interest rate (growth rate in this case, which is 7%)
n = the number of times the interest is compounded per year (12 since it is monthly)
t = the number of years
In this case, we want to find the number of rabbits by next September, which is one year later. So t = 1.
Now let's plug in the values into the formula:
A = 180(1 + 0.07/12)^(12*1)
= 180(1.00583)^(12)
≈ 180(1.069627699)
≈ 192.1329821
Since we need to round to the nearest whole number, the number of rabbits expected by next September is approximately 192.
However, none of the answer choices provided match this result. Can you check your calculations or review the answer choices given?