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Gelneren [198K]
3 years ago
8

Please help I will give out brainliest

Mathematics
2 answers:
adell [148]3 years ago
7 0

Answer:

              5N^2=3^2\times5^2\times x^6

Step-by-step explanation:

N=3×5²×x³

Then:

5N^2=5(3\cdot5^2\cdot x^3)^2=5\cdot3^2\cdot5^{2\cdot2}\cdot x^{3\cdot2}= 5\cdot3^2\cdot5^{4}\cdot x^6=5^{1+4}\cdot3^2\cdot x^6=5^5\cdot3^2\cdot x^6

likoan [24]3 years ago
5 0

Step-by-step explanation:

5.N^{2}=5.3^2.5^4.x^6=3^2.5^5.x^6

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Part 2: The Zombie Assassin
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Answer:  See below

<u>Step-by-step explanation:</u>

            y = a(b)ˣ

  • y: final population of zombies
  • a: initial population of zombies
  • b: rate of decrease
  • x: number of hours

Given: a = 500,000   b = 50% (0.5)    

           y = 500,000(0.5)ˣ

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A = 500,000 - y

a) Equation: 500,000 - 500,000(0.5)ˣ

b)

\begin{array}{c|c|c||l|c}\underline{\quad a\quad}&\underline{\quad b\quad}&\underline{\quad x\quad}&\underline{\quad 500,000(0.5)^x=y \qquad}&\underline{\quad 500,000-y=A\quad}\\500,000&0.5&5&500,000(0.5)^5=15,625&\bold{484,375}\\500,000&0.5&10&500,000(0.5)^{10}=488&\bold{499,512}\\500,000&0.5&15&500,000(0.5)^{15}=15&\bold{499,985}\\500,000&0.5&20&500,000(0.5)^{20}=0&\bold{500,000}\\\end{array}

(Graph attached)

c) The assassins will earn 100,000 + 2(499,985) = $1,099,970 after 15 hours.

The number of zombies needed to assassinate in order to earn $1,000,000:

100,000 + 2z = 1,000,000

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                   z =   450,000

d) How long will it take to eliminate all of the zombies?

   The population of zombies is zero when x = 20 hours

   How much money did the assassinators earn?

   100,000 + 2(500,000) = $1,100,000

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