# Math

posted by .

The caribou population of an area has been growing at an annual rate of 2% ,
A) If there are 850 initially, how long before there is a 1000?

B)How long for it to double?

x
1000=850(1.02)

• Math -

P = Po(1+r)^t = 1000.
850(1.02)^t = 1000
(1.02)^t = 1000/850 = 1.17647
Take Log of both sides:
t*Log 1.02 = Log 1.17647
0.0086t = 0.07058
t = 8.2 Years

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### math

What is the time to double when the initial investment is \$1000 and the annual rate is 3.5%
2. ### Math

How long will it take for the population of a certain country to double if its annual growth rate is 3.9%
3. ### Trigonometry

The populations, P, of six towns with time t in years are given by: I) P=1000(1.08)^t II) P= 600(1.12)^t III) P = 2500(0.9)^t IV) P=1200(1.185)^t V) P=800(0.78)^t VI) P=2000(0.99)^t a. Which towns are growing in size?
4. ### Math

The caribou population of an area has been growing at an annual rate of 2% , A) If there are 850 initially, how long before there is a 1000?
5. ### Math

The caribou population of an area has been growing at an annual rate of 2% , A) If there are 850 initially, how long before there is a 1000?
6. ### Math

The caribou population of an area has been growing at an annual rate of 2% A) if there are 850 initially, how long before there is a 1000?
7. ### Earth Science - NEED HELP QUICK

What is the thickness of the layer from 1000 - 850 mb if the mean temperature of the layer is 2 C?
8. ### calculus

The population of a culture of bacteria, P(t), where t is time in days, is growing at a rate that is proportional to the population itself and the growth rate is 0.3. The initial population is 40. (1) What is the population after 30 …
9. ### math

How long will it take an 8% simple interest rate for \$850 to amount to \$1000?
10. ### Math

If the growth rate of a population is 1.5% how long will it take that country to double?

More Similar Questions