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BabaBlast [244]
3 years ago
15

Solve the problem:

Mathematics
1 answer:
belka [17]3 years ago
7 0

Answer:

<u>Given function:</u>

  • p(t) = 2³10^{2t/3}

a)

<u>Find x when p(t) = 200:</u>

  • 2³10^{2t/3} = 200
  • 10^{2t/3} = 252
  • 2t/3 = log 25
  • t = 3 log 5
  • t = 2.0969 years ≈ 2 years and 1 month

b)

<u>Find p(t) when t = 4:</u>

  • p(4) = 2³(10^{2*4/3} ) = 8*10^{8/3} = 3713.27 million
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Since we are done with parenthesis, move on to the next part of PEMDAS which says to do exponents next. Take 2 to the power of 4.

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