a.
To complete: the account balance A after t years.
t (years) | 1 | 2 | 3 | 4 | 5 |
A (dollars) | ? | ? | ? | ? | ? |
The complete table is shown below:
t (years) | 1 | 2 | 3 | 4 | 5 |
A (dollars) | 1028 | 1056.78 | 1086.37 | 1116.79 | 1148.06 |
Given information:
The principal is
The rate of interest is
Concept Used:
The amount is calculated by
Calculation:
Here,
Now,
Now,
Now,
Now,
b.
To compare: the given function with the previous function in part(a) and then interpret the observation means in the context of this situation.
The person sister’s initial investment is greater than his initial investment but the average rate of increases of his account is greater than that of his sister’s account. Therefore, the persons balance is increasing faster than his sister’s balance.
Given information:
The given function is
The function in previous part is
Concept Used:
The amount is calculated by
Calculation:
The person’s account annual compound interest is
Since, the average rate of increase of your account balance is greater than that of his sister’s account.
Therefore, the person’s balance is increasing faster than his sister’s balance.
Chapter 5 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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