Cramped Quarters Island Is a Tiny Island Which, Although Able $Q(t)$

question 42

Essay

Cramped Quarters Island is a tiny island which, although able to support a limited population of rabbits, doesn't have enough space or food supplies to support unlimited exponential growth.It is suggested that if Q(t)= population of rabbits on Cramped Quarters Island at time t, then the quantity (800 - Q(t))will be an exponentially decaying function of t.If at time t = 0 there were 250 rabbits, and the population was increasing at an instantaneous rate of 100 rabbits per year, give the general formula for $Q(t)$
.

---

Definitions:

Internal Control

Processes and procedures implemented by a company to safeguard its assets, ensure accurate financial reporting, and promote compliance with laws and regulations.

Voucher System

A control mechanism in accounting that uses vouchers to record and authorize transactions prior to their occurrence.

Gross Method

An accounting method for recording purchases at the gross invoice amount before deducting any cash discounts.