Mathematics 4024 · O Level · Exponential growth and decay

Exponential growth and decay — practice question

Idris repairs computers. He works out the fee for a repair like this. $56 for the first hour$ Then $12.25$ for each extra $15$ minutes.
(a(i))[2]

Work out the amount Idris charges for a repair that lasts $2$ hours.

(a(ii))[3]

Idris charges $166.25$ for another repair. He begins the repair at $2.30\,\text{pm}$. Find the time at which he finishes the repair.

(b)[3]

Idris puts $6200$ into an account that pays compound interest at a rate of $1.7\%$ per year. Calculate the total amount of interest earned after $4$ years.

(c)[3]

The exchange rate between dollars ($\$) and euros (€) is $\$1 = €0.84$. Idris buys some equipment from a website that charges in euros. The equipment has a cost of €$760$. Idris has to pay $2.5\%$ tax on this cost. Work out the amount Idris pays for the equipment including tax. Give your answer in dollars.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Calculate the value of $56 + 4 \times 12.25$

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