joannabubu2008
joannabubu2008 joannabubu2008
  • 26-03-2021
  • Mathematics
contestada

this question has still not been answered people just want points

this question has still not been answered people just want points class=

Respuesta :

rachaelhairston rachaelhairston
  • 26-03-2021

Answer:

t= 41.2 minutes

Step-by-step explanation:

[tex]16=290(0.5)^{\frac{t}{10} }[/tex]

Divide by 290 to get the exponential expression alone

[tex]\frac{16}{290} \\\frac{8}{145}=(.0.5)^{t/10}[/tex]

Use Logs to solve

[tex]x=a^{y}[/tex] is equal to [tex]y=log_{a} x[/tex]

[tex]\frac{t}{10} =log_{0.5} \frac{8}{145}[/tex]  (put in calculator)

[tex]\frac{t}{10} = 4.18[/tex]

t= 41.2 minutes

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