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Eduardwww [97]
3 years ago
12

An epidemic has hit Hanthaway City. The population is declining 24% every hour. In just 8 hours, there are only 15,542 people le

ft in the city. What was the initial population in the city before the epidemic broke out?
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0
A=P(1-24/100)⁸

15,542 =P(0.76)⁸

P= (15,542)/(0.76)₂

P= 15,542/0.111303

P = 139,836
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Answer:

x = 14  

Step-by-step explanation:

Assume your diagram is like the one below.

The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."

For your diagram, that means

\begin{array}{rcl}m\angle L &=&\dfrac{1}{2} \left(m \widehat {JM} - m\widehat {PQ}\right)\\\\(3x + 13)^{\circ}& = &\dfrac{1}{2} \left[(8x + 48)^{\circ} - (5x - 20)^{\circ}\right]\\\\3x + 13& = &\dfrac{1}{2}(8x + 48 - 5x + 20)\\\\3x + 13& = &\dfrac{1}{2}(3x + 68)\\\\6x + 26 & = & 3x + 68\\6x & = & 3x + 42\\3x & = & 42\\x & = & \mathbf{14}\\\end{array}

Check:

\begin{array}{rcl}(3\times14 + 13) & = &\dfrac{1}{2} \left[(8\times14 + 48)^{\circ} - (5\times14 - 20)^{\circ}\right]\\\\42 + 13& = &\dfrac{1}{2}(112 + 48 - 70 + 20)\\\\55& = &\dfrac{1}{2}(110)\\\\55 & = & 55\\\end{array}

It checks.

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3 years ago
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Step-by-step explanation:

Hi there!

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Plug in the known values (D=180 feet, t=45 seconds)

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I hope this helps!

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