Two bird populations were studied and formulas were developed for each populations growth. the populations p1 and p2 are given by the formulas p1= 30e^kt and p2=60e^0.2t, where i is a constant and t is the time in years since the start of the study. if two populations were equal 10 years after the start of the study what is the approximate value of k? round to two decimals

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

the answer is -1 1/5, also a

hope i

-lavira : )