A study prepared for National Association of Realtors estimates that the number of housing starts in the southwest, N(t) (in units of a million), over the next 5 years is related to the mortgage rate r(t) (percent per year) by the equation + r = 36, where t is measured in years. What is the rate of change of the number of housing starts with respect to time when the mortgage rate is 11% per year and is increasing at the rate of 1.5% per year?

The lateral side of a triangular pyramid is a triangle. in order to increase the lateral surface are...

Mathematics, 26.12.2021 01:00 fatherbamboo

A study prepared for National Association of Realtors estimates that the number of housing starts in the southwest, N(t) (in units of a million), over the next 5 years is related to the mortgage rate r(t) (percent per year) by the equation $9N^{2}$ + r = 36, where t is measured in years. What is the rate of change of the number of housing starts with respect to time when the mortgage rate is 11% per year and is increasing at the rate of 1.5% per year?

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