To find the value of the quantity after 28 days, we first need to convert 28 days to weeks. Since there are 7 days in a week, 28 days is equivalent to 4 weeks.
Next, we can use the continuous decay formula:
A = A0 * e^(rt)
Where:
A = final value of the quantity
A0 = initial value of the quantity
e = Euler's number (~2.71828)
r = decay rate
t = time in weeks
Plugging in the values we have:
A = 790 * e^(-0.35*4)
A = 790 * e^(-1.4)
A = 790 * 0.2466
A = 194.99
Therefore, the value of the quantity after 28 days is approximately 195.00 to the nearest hundredth.
A quantity with an initial value of 790 decays continuously at a rate of 35% per week. What is the value of the quantity after 28 days, to the nearest hundredth?
1 answer
1 answer