A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound remaining from a 75-ounce sample after three weeks .

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

2,160 π

step-by-step explanation: