Given normal use, a car will depreciate $28\%$ of its original cost the first year and $12\%$ of the remaining value in the second year. What was the initial cost of a car if it had a value of $$12,600$ at the end of the second year?$$

Select one:

a$.$

$$45,000$

b$.$

$$19,886\mathrm{.}36$

c$.$

$$105,000$

d$.$

$$35,280$