Mathematics, 31.03.2020 17:26 samarth4315

The population of a certain type of gorilla has been decreasing at a rate of about 3.5% per year over the past twenty years. If there are currently about 250 of theses gorillas, how many were there 20 years ago? (round your answer to the whole number)Immersive Reader

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Answer from: jaymieordonez8751

510 gorillas

Step-by-step explanation:

In this problem, the population of gorillas is decreasing at a rate of 3.5 % per year.

We can write an expression for the population of gorillas as follows:

n(t) = n_0 (1+r)^t

where

n(t) is the number of gorillas after t years

n_0 is the number of gorillas at t = 0

r is the grow rate of the population

t is the number of years

Here we have:

n(t)=250 is the number of gorillas when t = 20 years

$r=-\frac{3.5}{100}=-0.035$ is the grow rate of the population

So the equation becomes:

$250 = n_0 (1-0.035)^{20} = n_0 (0.965)^{20}$

And solving for n_0 , we find the initial number of gorillas:

$250=n_0 (0.965)^{20}=n_0 \cdot 0.490\\n_0 = \frac{250}{0.490}=510$

Answer from: Quest

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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The population of a certain type of gorilla has been decreasing at a rate of about 3.5% per year ove...