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When a deposit of $\$ 1000$ is made into an account paying $8 \%$ interest, compounded annually, the balance, $\$ B,$ in the account after $t$ years is given by $B=1000(1.08)^{t}$ Find the average rate of change in the balance over the interval $t=0$ to $t=5 .$ Give units and interpret your answer in terms of the balance in the account.
93.86561536$ per year
Calculus 1 / AB
Chapter 1
Functions and Change
Section 3
Average Rate of Change and Relative Change
Functions
Limits
Continuous Functions
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this question asked us to give unit and interpreter answer in terms of the balance in the given account. What we know is that the balance, the re average rate of change of the balance is Delta bi over Delta T. Obviously, Delta means change. This look of went to 1000 times 1.8 to the power of five minus 1/5 minutes here, which is obviously just divide by five. This is Oakland went to $93.87 per years. Four units are dollars per year. Now what we know is that this balance on the account increases by an average of this amount in dollars per year.
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