Question $7-6$ points $(2$ points each$)$

Suppose labor productivity in the United States was $$100,000$ per worker in $2015.$ Calculate the value of labor productivity in $2035(20$ years later$)$ if:

a$)$ Productivity continues to grow by $3\mathrm{.}3$ percent per year.

U$.$S labor productivity in $2035$ would be $$ per worker.

b$)$ Productivity growth falls to $1\mathrm{.}5$ percent per year.

U$.$S$.$ labor productivity in $2035$ would be $$ per worker.

c$)$ How much larger would labor productivity per worker be in $2035$ with the higher growth rate as compared to the lower growth rate?

$ or $\%.$