A quantity with an initial value of 8100 decays continuously at a rate of 0.95% per year. What is the value of the quantity afte
r 96 months, to the nearest hundredth?
2 answers:
Answer:
7507.21
Step-by-step explanation:
Answer:
20163.299
Step-by-step explanation:
Initial value = 8100
Rate r = 0.95% = 0.0095
t = 96 month
Therefore, Value of the quantity after 39 decades = Initial value*e^(rt)
= 8100*e^(0.0095*96)
= 8100*e^(0.912)
= 8100*2.48929615041
= 20163.298818321
= 20163.299
So, the value of the quantity after 96 months is 20163.299
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