Question: Supposextgrows at 2% per year andytgrows at 5% per year. For each expression ofztbelow, calculate(a)The growth rate ofzt (b)The value of ztfor t=0, t=1, t=2,

Supposextgrows at 2% per year andytgrows at 5% per year. For each expression ofztbelow, calculate(a)The growth rate ofzt

(b)The value of ztfor t=0, t=1, t=2, and t=8 in terms of x0and y0

Show all your calculations.

(Note:x0andy0are used to express the values ofxtandytat timet= 0.)

(i)zt=xtyt

(ii)zt=xt1yt2(Note:xt1refers to the value ofxat periodt1.

(iii)z=x1/3y2/3

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