LO$112.$ Calculating Future Values Your coin collection contains fifty $1952$ silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in $2067,$ assuming they appreciate at an annual rate of $4\mathrm{.}3$ percent?

LO$1,$ LO$313.$ Calculating Growth Rates and Future Values In $1895,$ the first U$.$S$.$ Open Golf Championship was held. The winner's prize money was $$150.$ In $2020,$ the winner's check was $$2\mathrm{.}2$ million. What was the annual percentage increase in the winner's check over this period? If the winner's prize increases at the same rate, what will it be in $2050?$

LO$314.$ Calculating Rates of Return In $2020,$ a Detective Comics No$.27,$ featuring the first appearance of Batman, was sold at auction for $$1\mathrm{.}5$ million. The comic book was originally sold in $1939$ for $$\mathrm{.}10.$ What was the annual increase in the value of this comic book?

LO$315$ Y

Calculating Rates of Return Although appealing to more refined tastes, art as a collectible has not always performed so profitably. During $2010,$ Deutscher$-$Menzies sold Arkie under the Shower, a painting by renowned Australian painter Brett Whiteley, at auction for a price of $$1,100,000.$ Unfortunately for the previous owner, he had purchased it three years earlier at a price of $$1,680,000.$ What was his annual rate of return on this painting?

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