Nate is taking a math class, an English class, and a social studies class during his senior year of high school. Next year, he will be attending the University of North Carolina and studying to become an engineer. The $4$-year tuition for The University of North Carolina is $\$120{,}000$. If Nate can earn an “A” in his math class, he will win a one-time $\$10{,}000$ math scholarship. If he can earn an “A” in all three classes, he will win a $\$50{,}000$ one-time general scholarship in addition to the math scholarship. His estimated probability of earning an “A” for each class is in the table below. **What is the expected amount of tuition that Nate will pay to attend The University of North Carolina for $4$ years?** $\$$ [[☃ input-number 1]] |||| :- | :-: | :-: | :-: **Class** | Math | English | Social Studies **Probability of an "A"** | $60\%$ | $30\%$ | $20\%$