1. The monthly repayment A on a loan of P is given by the formula
A = P[i/(1-(1+i)-n)]
Plot A as a function of i, the monthly interest rate, using the range 0 ≤ i ≤ 0.02. Show three different curves on the same axes for n=12, 36, and 60 months. The starting loan amount P is $5000. Make the plot look professional.
2. The resistances (Q) of five different lengths and two different diameters of metallic electrical wire have been measured and are shown on the next page. Plot the resistances as a function of length and add the linear trendlines for each.
3. Four gold mines in a mountainous region have been in continuous operation for five years. The output is measured in tons, and it has been declining each year in each mine. The data are shown on the next page in the table. Plot the results and find the power trendlines with equations for each mine. Make the plot look professional, and be careful to enter the year data exactly as listed in the table. Estimate the output in each mine after ten years.