The fish population of lake collins is decreasing at a rate of 3% per year. in 2004 there were about 1,300 fish. write an exponential decay function to model this situation. then find the population in 2010.

1083 fish

Step-by-step explanation:

The fish population of Lake Collins is decreasing at a rate of 3% per year.

If starting population were about 1,300 in 2004 so the sequence will be

1,300, (1300 - 3% of 1300)..............

or 1300, 1261,.........

We know exponential function is modeled by

Where         = population at time t.

                  = initial population

                   r = common ratio

                   n = time in years.

Common ratio (r) =

                            =

Then the function will be

Then population in year 2010 (after 6 years) will be

   = 1300(0.8329)

  = 1082.86 ≈ 1083 fishes

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~