Percentages：練習題

A luxury boat depreciates in value by \( 12\% \) each year. After \( 2 \) years, its value is \( \$15488 \). Calculate the initial value of the boat.

Express \( 24 \) out of \( 80 \) as a percentage.

A jacket priced at \( \$80 \) is reduced in a sale by \( 35\% \). Calculate the sale price of the jacket.

An amount of \( \$5000 \) is invested in an account paying compound interest at a rate of \( 3.5\% \) per year. Calculate the total amount in the account after \( 3 \) years, giving your answer to the nearest cent.

The population of a town increases by \(8\%\) in the first year and decreases by \(5\%\) in the second year.
(a) Calculate the overall percentage change in the population over the two years.
(b) If the population at the end of the second year is \(25326\), calculate the original population at the start of the first year.

Ali invests \(\$4000\) in an account that pays compound interest at a rate of \(3.5\%\) per year.
(a) Calculate the total amount in the account after \(3\) years. Give your answer correct to the nearest cent.
(b) Calculate the total interest earned over the \(3\) years.