In texas, the population of a species of bats is decreasing at a rate of -0.021 per year. the population was 22,000 in 2010. according to the function, a(t) = a0e(kt) , what is the predicted population in 2015?

19807

Step-by-step explanation:

Given: In Texas, the population of a species of bats is decreasing at a rate of -0.021 per year.

The population was 22,000 in 2010.

The given function :

, where is the initial value and k is the rate of decay.

Consider 2010 as the initial year, then

k=-0.021 per year

For year 2015 , t=2015-2010=5

Hence, the predicted population in 2015 = 19807

the answer is 21%.

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.