A population of bears increased by 50% in 4 years. If the situation is modeled by an annual growth rate compounded continuously, which formula could be used to find the annual rate according to the exponential growth function? Leave your answer in terms of ln.

Explanation:

Given:

Total population after time (P) = 100% + 50%  = 1 + 0.5 = 1.5

Starting population (p) = 100% = 1

Number of year (t) = 4 year

rate of growth = r

Computation:

Exponential growth function for population :

P =

1.5 =

1.5 =

From taking log:

4r = ln(1.5)

urban company reports the following information regarding its production cost: units produced 37,000 units direct labor $ 30 per unit direct materials $ 35 per unit variable overhead $ 237,000 in total fixed overhead $ 127,000 in total

there's 11 people for the 1st position. then, no matter who gets it, there's only 10 left for the second, and then 9 left for the third. 11 x 10 x 9 = 990.   the answer is there are 990 different ways the positions can be filled by these applicants