Consider the Solow growth model, where population grows at the constant rate n, N=(1+n)N, s = saving rate, the production function is given by Y=zF(K,N), the evolution of capital is given by K=(1-d)K+I where d = depreciation rate and I = investment. The income expenditure identity is given by Y = C+I and S=I. Please upload pictures of your graphical analysis.

Derive the equation for future capital in per worker terms, expressing it in terms of current capital (k), the population growth rate (n) and the depreciation rate (d) using the information given above.