With the rate set at r = 5% (0

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With the rate set at r = 5% (0.05), you varied the principal P until the 10-year balance (t = 10) was about A = $10,000. If we substitute these values into the equation, we get 10000 = P*(1+0.05*10). Solve this equation for P, showing your steps.

Similarly if you set the principal P=600 and vary r, then you would end up with the equation 10000 = 600*(1+10*r). Solve this equation for r, showing your steps.

More generally, solve the equation A=P*(1+r*t) for each of P, r, and t symbolically. Note that this would be an alternative way to find solutions to questions like the one for this DQ.