I invest $1000 in an account earning 6% compounded annually. How long will it take for the value to reach $1500?
1 answer:
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Answer:
A. between 3.0 and 3.5 and between 4.0 and 4.5
Step-by-step explanation:
The idea here is that if a function is continuous and you have points on opposite sides of the x-axis, then there must be a zero-crossing between those points. As the table and graph show, ...
... (3.0, 4.0) and (3.5, -0.2)
are points on opposite sides of the x-axis. So, there must be a zero crossing between x=3.0 and x=3.5.
Likewise, ...
... (4.0, -0.8) and (4.5, 0.1)
are points on opposite sides of the x-axis. So, there must be a zero-crossing between x=4.0 and x=4.5
The appropriate answer choice lists both of these possible zero crossings.
