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Model Exponential Growth and Decay
Solve (A=A0ekt)\left( A = A _ { 0 } e ^ { k t } \right)

question 22

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Model Exponential Growth and Decay
Solve.
-An endangered species of fish has a population that is decreasing exponentially (A=A0ekt) \left( A = A _ { 0 } e ^ { k t } \right) . The population 9 years ago was 1500 . Today, only 1000 of the fish are alive. Once the population drops below 100 , the situation will be irreversible. When will this happen, according to the model? (Round to the nearest whole year.)

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Definitions:

Overhaul Costs

Expenses incurred for significant repairs or major restoration of equipment, machinery, or buildings which extend their life but do not qualify as capital expenses.

Incremental Cost Approach

An analysis technique that focuses on the additional costs and benefits associated with a particular decision or project.

Discount Rate

The interest rate used to discount future cash flows of a project or investment to their present value, reflecting the opportunity cost of capital.

Annual Net Cash Inflows

The total cash inflows minus the cash outflows for a business within a one-year period.

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