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nata0808 [166]
3 years ago
7

the population of a particular city is given by the function p(t) = 72,300(1.03)t, where t is time in years and p(t) is the popu

lation after t years. what is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) after 10 years? hint: percentage growth rate = r ⋅ 100 in a = a0(1 r)t
Mathematics
1 answer:
garik1379 [7]3 years ago
4 0
Current population :  72300
percentage growth rate:  3%
<span>after ten years :  97165</span>
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Answer:

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Step-by-step explanation:

From the picture attached,

(8, -3) is a point on the terminal side of angle θ.

Therefore, distance 'R' from the origin will be,

R = \sqrt{x^{2}+y^{2}}

R = \sqrt{8^{2}+(-3)^2}

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Therefore, Cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{x}{R}=\frac{8}{\sqrt{73}}

Sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{y}{R}=\frac{-3}{\sqrt{73} }

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{y}{x}=\frac{-3}{8}

Cscθ = \frac{1}{\text{Sin}\theta}=\frac{R}{y}=-\frac{\sqrt{73}}{3}

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