Answer:
A ≈ 102.56
Explanation:
The quantity decays continuously at a rate of 0.75% per day, which means that the amount of the quantity remaining after a certain number of days can be calculated using the formula:
A = A0 * e^(-rt)
where:
A0 is the initial value of the quantity
r is the decay rate (expressed as a decimal)
t is the number of days
e is the mathematical constant e (approximately equal to 2.71828)
A is the value of the quantity after t days
Substituting the given values, we get:
A = 170 * e^(-0.0075 * 56)
Using a calculator, we get:
A ≈ 102.56
Therefore, the value of the quantity after 56 days, rounded to the nearest hundredth, is approximately 102.56.