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Answer :
The answer is: 10.90 hours
Explanation:
Please see the image attached!
Explanation:
Please see the image attached!
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Rewritten by : Jeany
It takes 10.9 hours.
We set the equation equal to 1792000:
[tex]1792000=3600(2)^{\frac{t}{73}}[/tex]
Divide both sides by 3600:
[tex]\frac{1792000}{3600}=\frac{3600(2)^{\frac{t}{73}}}{3600}
\\
\\\frac{4480}{9}=2^{\frac{t}{73}}[/tex]
We will use logarithms to solve this:
[tex]\log_2{\frac{4480}{9}}=\frac{t}{73}[/tex]
Multiply both sides by 73:
[tex]73\log_2{\frac{4480}{9}}=t
\\
\\654.03=t[/tex]
This is in minutes; to convert to hours, divide by 60:
654.03/60 = 10.9
We set the equation equal to 1792000:
[tex]1792000=3600(2)^{\frac{t}{73}}[/tex]
Divide both sides by 3600:
[tex]\frac{1792000}{3600}=\frac{3600(2)^{\frac{t}{73}}}{3600}
\\
\\\frac{4480}{9}=2^{\frac{t}{73}}[/tex]
We will use logarithms to solve this:
[tex]\log_2{\frac{4480}{9}}=\frac{t}{73}[/tex]
Multiply both sides by 73:
[tex]73\log_2{\frac{4480}{9}}=t
\\
\\654.03=t[/tex]
This is in minutes; to convert to hours, divide by 60:
654.03/60 = 10.9
