After a devastating winter, when thousands of fish died, an environmental scientist has replenished the trout stock in a fishing pond. he started with 5,000 baby trout and has finished a count to find that, in 4 years, the population is estimated to be 8,500. assuming an exponential growth pattern, what is the annual growth rate (rounded to the nearest tenth of a percent) of the new trout population?

The formula for an exponential growth rate is in the form of:

P = Po e^(r t)

Where,

P = final population after how many years = 8 500

Po = the initial population = 5 000

r = the growth rate = unknown (the variable we have to find for)

t = time in years = 4 years

Rewriting the equation in the form to find for r:

P / Po = e^(r t)

ln (P / Po) = r t

r = ln (P / Po) / t

r = ln (8500/5000) / 4

r = 0.1327 / year

Therefore the growth rate is about 13.27% per year.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: