$****($please solve these questions in easy wasy which is easy to memorise$)***14$ Ava bought $3000$ shares for $$8\mathrm{.}20$ each.

a$)$ Ava is charged a brokerage fee of $8\mathrm{.}5$ cents per share. What is the total cost of purchasing the shares?

b$)$ Three months later, a dividend of $42$ cents per share was paid. What was the total dividend Ava received?

c$)$ Ava sold the shares after receiving the dividend for $$8\mathrm{.}50$ each. She was charged a brokerage fee of $7\mathrm{.}5$ cents per share for the $1$ st $2000$ shares and $6\mathrm{.}5$ cents per share afterwards. What was the profit on these shares?

$15$ Nathan possesses $555$ ordinary shares priced at $$4$ each and $353$ preference shares priced at $$3$ each. The present values of the ordinary and preference shares stand at $$5\mathrm{.}50$ and $$4\mathrm{.}80,$ correspondingly. The dividend for the ordinary share's amounts to $70$ cents, while for the preference shares, it is $4\mathrm{.}6\%$ of their value. Determine Nathan's total dividend.

$16$ The cost of a boat is $$245000,$ and it depreciates at a rate of $15\%$ per annum. What will be its worth $5$ years after the purchase?

$17$ Miller's Movers acquired a new truck, and after $2$ years, its value depreciated to $$37,800$ at a declining$-$balance rate of $22\%$ per annum.

a$)$ How much did Miller pay for the truck, to the nearest dollar?

b$)$ What is the expected value of the truck after $4$ years, to the nearest dollar?

$18$ A new motorcycle is valued at $$18,000.$ After two years using the declining$-$balance method, it is valued at $$11,000.$

a$)$ Determine the annual percentage rate of depreciation. Provide the answer accurate to three decimal places.

b$)$ What is the value of the new motorcycle after four years? Provide the answer to the nearest dollar.

$19$ The percentage rate of depreciation of some items is not always consistent from year to year. Eleanor is able to depreciate the value of her boat by $30\%$ in the first year, $20\%$ in the second year, and $15\%$ in the third year.

a$)$ If Eleanor's boat cost $$45,000,$ what is the salvage value of the boat after three years?

b$)$ What would be the equivalent annual percentage rate of depreciation? Provide your answer to the nearest whole number.

$20$

a$)$ If Sandra takes out a reducing$-$balance personal loan of $$10000$ to fund her wedding, with an annual interest rate of $6\mathrm{.}5\%,$ and she makes the minimum monthly repayment of $$400.$ What is the interest paid for this loan?

b$)$ What is the equivalent flat interest rate charged per annum on this loan? Answer correct to one decimal place.