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I’ll make you brilliant Help ASAP-example-1

2 Answers

7 votes

Answer:

t = 300

Explanation:


\huge P = 10(2)^{ (t)/(60) } \\ \\ \huge 320 = 10(2)^{ (t)/(60) }\\(plug \: P= 320) \\ \\ \huge (320)/(10) = (2)^{ (t)/(60) } \\ \\ \huge 32 = (2)^{ (t)/(60) } \\ \\\huge {2}^(5) = (2)^{ (t)/(60) } \\ \\\huge 5 = (t)/(60) \\(bases\: are \:same, \:so \:exponents \: would \:be\: \\equal) \\ \huge 5 * 60 = t \\ \\300 = t \\ \\\huge\purple {\boxed {t = 300}}

User Adam Biggs
by
7.4k points
3 votes

Answer:

  • 300

Explanation:

Given, the function:

  • P = 10(2)^(t/60)

To find

  • t if P= 320

Solution

Substituting P with its value of 320 in the given equation:

  • 320 = 10(2)^(t/60)
  • 32= (2)^(t/60)
  • 2^5 = (2)^(t/60)
  • 5 = t/60
  • t = 60*5
  • t = 300
User Cactuschibre
by
8.3k points

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