I just need part C

Can some one please explain, how do we get the answer for part c in the answer in the link below

""The balance after 5 years(10 half years) = $187,842.58" for part C"

I just need the formula, and a valid reason or concept behind the answer only for part c. Thank you so much!

https://www.chegg.com/homework-help/questions-and-answers/question-already-answered-someone-didn-t-bother-breakdown-steps-students-could-understand--q100845750?trackid=W9yuE8Hy