a.
To complete:
The given table and interpret your results.
a.
Answer to Problem 111E
The complete table would be:
K | 1 | 2 | 4 | 6 | 8 | 10 | 12 |
t | 0 | 19.80 | 39.61 | 51.19 | 59.41 | 65.79 | 71.00 |
Explanation of Solution
Given:
A principalP , invested at
K | 1 | 2 | 4 | 6 | 8 | 10 | 12 |
t |
Calculation:
To complete the given table, we will substitute the values of K in our given function as shown below:
It will take approximately 19.80 years for the investment to double.
It will take approximately 39.61 years for the investment to be 4 times original amount.
It will take approximately 51.19 years for the investment to be 6 times original amount.
It will take approximately 59.41 years for the investment to be 8 times original amount.
It will take approximately 65.79 years for the investment to be 10 times original amount.
It will take approximately 71.00 years for the investment to be 12 times original amount.
Therefore, the complete table would be:
K | 1 | 2 | 4 | 6 | 8 | 10 | 12 |
t | 0 | 19.80 | 39.61 | 51.19 | 59.41 | 65.79 | 71.00 |
b.
To graph:
The given function using graphing utility.
b.
Answer to Problem 111E
The graph of our given function would be:
Explanation of Solution
Given:
A principal P , invested at
Calculation:
Upon graphing our given function, we will get our required graph as shown below:
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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