Gpt has trouble with mathematics

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To calculate how long it will take to pay off a $15,000 debt at 1.6% interest by making monthly payments of$200, you can use the formula:

[ \text{Time (in months)} = -\frac{\text{Logarithm}\left(1 - \frac{\text{Monthly Interest Rate}}{\text{Loan Amount}} \cdot \text{Monthly Payment}\right)}{\text{Logarithm}\left(1 + \text{Monthly Interest Rate}\right)} ]

First, calculate the monthly interest rate, which is the annual interest rate divided by 12 (since there are 12 months in a year):

[ \text{Monthly Interest Rate} = \frac{1.6%}{12} = 0.016/12 = 0.0013333 ]

Now, plug the values into the formula:

[ \text{Time (in months)} = -\frac{\text{Logarithm}\left(1 - \frac{0.0013333}{15000} \cdot 200\right)}{\text{Logarithm}\left(1 + 0.0013333\right)} ]

Calculating this:

[ \text{Time (in months)} \approx -\frac{\text{Logarithm}(0.9866667)}{\text{Logarithm}(1.0013333)} ]

Now, calculate the logarithms:

[ \text{Time (in months)} \approx -\frac{-0.01343}{0.0006199} ]

Divide:

[ \text{Time (in months)} \approx 21.63 ]

So, it will take approximately 21.63 months to pay off a $15,000 debt at 1.6% interest by making monthly payments of$200. This is roughly equivalent to about 1 year and 9 months. Please note that this calculation assumes a fixed interest rate and doesn’t take into account factors like compounding interest or changes in the interest rate over time.

Check out this answer I got from chat GPT

That is expected. It is actually pretty amazing that some math does work, from an AI that is just trained to generate the most probable language output from a given input.

It’s usually quite good at giving you the formulas for problems - and then you use your own calculator, or enable a plugin that can calculate such as WolframAlpha.

(Although I tried over and over again just yesterday to explain statistics to gpt-4…)