Rosa invests £7200 in a savings account.

The account pays 4% compound interest per year.

She takes no money out of the account.

Grace buys a new car for £21300.

The value of the car depreciates by 30% each year.

Find the value of the car after 2 years.

A farm shop buys a display counter for £3000.

The display counter loses 30% of its value each year.

Here are three calculations.

A  \(3000 \times 0.9^{ 5 }\)

B  \(3000 \times 0.6^{ 5 }\)

C  \(3000 \times 0.7^{ 5 }\)

A sign maker bought a laser cutter.

The table shows some information about what the laser cutter was worth when it was new and at the end of each year after that.

The value falls by the same percentage every year.

Idris has £8400 to invest for 2 years.

Account A pays 4% simple interest per year.

Account B pays 4% compound interest per year.

Calculate how much more interest Account B pays than Account A over the 2 years.

Amara invests £5700 in a savings account.

The account pays 6% compound interest per year.

She takes no money out of the account.

Work out the number of years it takes for the amount in the account to first be more than £6500.

Owen pays £32000 into a 3-year investment plan.

The plan pays 5% compound interest in the first year, and 2% compound interest in each year after that.

Work out the value of the plan at the end of the 3 years.

A forestry firm paid £3000 for a new log splitter.

Each year, the value of the log splitter is multiplied by 0.7.

An auction house bought a first edition book for £22000.

The value of the first edition book goes up by 10% each year.

Hafsa says that after 2 years the first edition book will be worth £26455.00.

Is Hafsa right? You must show your working.

A farm bought a tractor.

The value of the tractor depreciates by \(50\%\) each year.

After \(2\) years the tractor is worth \(£1750\).