An animal reserve has 28,000 elk. The population is at a rate of 15% per year. How long will it take for the population to reach 56,000?

In 5 years time the population will reach to 56,000.

Step-by-step explanation:

This can be calculated using yearly compound interest formula

Formula for yearly compound interest

CI = P(1+R/100)ⁿ

CI = 56,000

P = 28,000

R = 15%

n= number of years

Now,

56,000 = 28,000 (1+15/100)ⁿ

56,000 = 28,000 (1+.15)ⁿ = 28,000 (1.15)ⁿ

log (56,000/28,000) = n log(1.15)

log 2 = n log (1.15)

n = log 2/log 1.15

n≅ 5

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)