Bart$$ Simpson, age $10,$ wants to be able to buy a really cool new car when he turns $18.$ His really cool car costs $$$$19$ comma $000$today$,$ and its cost is expected to increase $3$ percent annually. Bart wants to make one deposit today$($he can sell his$$ mint$-$condition original Nuclear Boy comic$$ book$)$ into an account paying $8\mathrm{.}1$ percent annually in order to buy his car in $8$ years. How much will$$ Bart's car$$ cost$,$ and how much does Bart have to save today in order to buy this car at age $18?$

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Part $1$

a$.$ How much will$$ Bart's car cost after $8$years$?$

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enter your response here$($Round to the nearest$$ cent.$)$