We appreciate your visit to A quantity with an initial value of 3700 decays exponentially at a rate of 6 every 5 minutes What is the value of the quantity. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
2369.86
Step-by-step explanation:
f(36)=3700(1−0.06) ^36/5
2369.857704098921
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The value of the quantity after 36 minutes is approximately 3701.5.
What is Percentage?
percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for exponential decay to find the value of the quantity after 36 minutes:
[tex]A =A_{0} e^-^r^t[/tex]
where:
A₀ = initial value = 3700
r = decay rate per unit time = 6% = 0.06
t = time in minutes
We want to find A after 36 minutes, so:
t = 36
Substituting these values into the formula, we get:
[tex]A = 3700e^(^-^0^.^0^6^\times^ 3^6^/^5)[/tex]
A=3701.5
Therefore, the value of the quantity after 36 minutes is approximately 3701.5.
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