Answer:
Correct word for question b. "Now calculate the amount of next year's beginning capital stock for this economy"
a. Begins the year with $100 million in capital. Depreciation rate is 9% per year 
Depreciation = 9% * $100 million 
Depreciation = 0.09 * $100 million\
Depreciation = $9 million
 
Gross investment = $20 million
Net investment = Gross investment - Depreciation
Net investment = $20 million - $9 million
Net investment = $11 million
 
b. Next year begining capital stock = Capital stock at the begining of previous year + Net investment
Next year begining capital stock = $100 million + $11 million 
Next year begining capital stock = $111 million