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Problem 1

Given that a quantity \(Q(t)\) is described by the exponential growth function $$ Q(t)=400 e^{\mathrm{a} .05 t} $$ where \(t\) is measured in minutes, answer the following questions: a. What is the growth constant? b. What quantity is present initially? c. Complete the following table of values:

Expert verified

a. The growth constant is \(0.05\mathrm{a}\).
b. The initial quantity present is 400 units.
c. The completed table of values is:
| Time (t) | Quantity (Q) |
|:--------------:|:----------------------------:|
| 0 | 400 |
| 5 | \(400e^{0.25\mathrm{a}}\) |
| 10 | \(400e^{0.5\mathrm{a}}\) |
| 15 | \(400e^{0.75\mathrm{a}}\) |

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