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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 after 36 minutes, to the nearest hundredth?

Answer :

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.

To learn more on Percentage click:

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Answer:

2369.86

Step-by-step explanation:

f(36)=3700(1−0.06) ^36/5

2369.857704098921