Dillard

2021-08-23

The expression to triple the amount.

Brittany Patton

First option is given as: $\left(a\right)n=-P+F\left(PF,i\mathrm{%},n\right)$.
Here, the original amount of the investment (P) will never be negative as it is not a cost when it is deposited in an account. Thus, this option is incorrect.
Second option is not correct as log function is used here, and when some amount is being doubled or tripled log function is not used.
Third option is the correct one.
The value presented is $n=\frac{\mathrm{ln}\left(-P+F\right)}{\mathrm{ln}\left(i\mathrm{%}\right)}$ and is the correct choice as a linear function is used in order to determine how much time will be required for the investment to get tripled.
This is an exemption to the rule which is to take a difference between initial investment and future worth.
The last option is not the right choice as it is just modifying the third option and randomly rearranging the factors the way they should not be.
Conclusion:
Thus, the correct option is $\left(c\right)n=\frac{\mathrm{ln}\left(-P+F\right)}{\mathrm{ln}i\mathrm{%}}$.

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