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It takes 8.35 hours for the size of the sample to double
Step-by-step explanation:
The form of the continuous exponential growth model is
, where
- A is the new value
- P is the initial value
- r is the rate of growth or decay in decimal
- t is the time
∵ The growth rate is 8.3%
∴ r = 8.3 ÷ 100 = 0.083
∵ The size of the sample will doubled in t hours
∴ A = 2 P
Use the formula of the contentious exponential growth above
∵
- Divide both sides by P
∴
- Insert ㏑ in both sides
∴
- Remember because ㏑(e) = 1
∴
- Divide both sides by 0.083
∴
∴ t = 8.35 hours to the nearest hundredth
It takes 8.35 hours for the size of the sample to double
Learn more:
You can learn more about the logarithmic function in brainly.com/question/1447265
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