The rabbit population of springfield, ohio was 144,000 in 2016. it is expected to decrease by about 7.2% per year. write an exponential decay function, p(t), and use it to approximate the population in 2036.

The answer is:

In 2036 there will be a population of 32309 rabbits.

We can calculate the exponential decay using the following function:

Where,

Start Amount, is the starting value or amount.

Percent, is the decay rate.

t, is the time elapsed.

We are given:

Now, substituting it into the equation, we have:

Hence, we have that in 2036 the population of rabbis will be 32309 rabbits.

Have a nice day!

The population of rabbits in 2036 is 32309 and this can be determined by using the exponential decay function.

Given :

The formula for the exponential decay function is given by:

Now, substitute the value of known terms in the above formula.

Simplify the above expression.

A 32309

So, the population of rabbits in 2036 is 32309.

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something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)