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Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over $1$,$000$ should include the comma ( $\$ 2,354.67)$. All percentage values in the answers need to include a percentage sign (\%). For all items without specific rounding instructions, round your answers to two decimal places, show both decimal places ($5$.$06$).$\newline$Rob bought a $1965$ Fender Jazzmaster vintage electric guitar in $1980$ for a price of $\$ 150$. In $2017$ it was appraised for $\$ 4,500$. You are going to compare this appraised value to what the $\$ 150$ would have earned if it was deposited in a certificate of deposit for those $37$ years. Interest on all of Rob's CDs is compounded continuously.$\newline$a. If the account paid $12.3 \%$ interest for the first $7$ years, what would the balance be after the first $7$ years? Round to the nearest cent. $\square$$\newline$b. If the account paid $6 \%$ interest for the next $10$ years, what would the balance be after the first $17$ years? Round to the nearest cent. $\square$$\newline$c. If the account paid $4.1 \%$ interest for remaining $20$ years, what would the balance be after the $37$ years? Round to the nearest cent. $\square$$\newline$d. What is the difference between the appraised value of the guitar and the amount the original $\$ 150$ would have earned in the bank? $\square$