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iragen [17]
3 years ago
15

A population of 80,000 toads is expected to shrink at a rate of 9.2% per year. What will be the toad population be in 20 years?

Mathematics
2 answers:
jekas [21]3 years ago
7 0
P=80,000×(1−0.092)^(20)
p=11,609.3
eduard3 years ago
5 0

Answer:

Using the formula:

P = P_0(1+r)^t                          .....[1]

where,

P is the population after t years

P_0 is the initial population

r is the rate (in decimal)

As per the statement:

A population of 80,000 toads is expected to shrink at a rate of 9.2% per year.

⇒Initial population(P_0) = 80,000 toad

and

r = -9.2% = -0.092

We have to find the toad population be in 20 years.

t = 20 years

Substitute the given values in [1], we have;

P = 8000 \cdot (1-0.092)^{20}

⇒P = 8000 \cdot (0.908)^{20} = 80000 \cdot 0.145116559

Simplify:

P = 11609.3247 \approx 11609

Therefore, about 11609 will be the toad population be in 20 years.

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andreev551 [17]

The length of CS is 11.0

Explanation:

Given that the length of the tangent AR is 12

The length of SR is 7.7

To find: The length of CS

The<u> tangent secant theorem</u> states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."

Applying the tangent secant theorem, we have,

AR^2=SR\times RC

Rewriting the above equation, we get,

AR^2=SR(SR+SC)

Substituting the values, we get,

12^2=7.7(7.7+CS)

Simplifying, we have,

144=59.29+7.7CS

Subtracting both sides by 59.29, we get,

84.71=7.7CS

Dividing both sides by 7.7, we have,

11.0013=CS

Rounding off to the nearest tenth, we get,

11.0=CS

Thus, the length of CS is 11.0

6 0
3 years ago
Solve the right triangle. Round to the nearest degree and nearest tenth of a unit. What is the right angleV?
N76 [4]

Answer:

  m∠V ≈ 61°

Step-by-step explanation:

The hypotenuse and the side opposite the angle of interest are given. The relevant trig relation is ...

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The inverse sine function is used to find the angle:

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2 years ago
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Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

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Elena L [17]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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