Rachel buys a house and takes out a $150,000 30-year mortgage. The interest rate is 12% convertible monthly and Rachel makes monthly payments of $1,400 for the first 3 years. Determine how large her monthly payment needs to be for the remaining 27 years in order to pay off the mortgage at the end of the 30-year period.

Amanager of a store that sells and installs spas wants to prepare a forecast for january and june of next year. her forecasts are a combination of trend and seasonality. she uses the following equation to estimate the trend component of monthly demand: ft = 30+5t, where t = 1 in january of this year. seasonal relatives are 0.60 for january and 1.50 for june. what demands should she predict for january and june of next year