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A bar of soap cost R8,51 in 2014. If the inflation rate in 2015 was 6,3%, what would be the price of the soap in 2015?

Economics

ScanSolve AI Answer

Answer

R9,05\text{R}9,05

Step-by-step solution

4 steps
  1. Identify the given values.

    The current price of the soap (in 2014) is R8,51.
    The expected inflation rate for 2015 is 6,3%.

  2. Convert the inflation rate to a decimal.

    6,3%=6,3100=0,0636,3\% = \frac{6,3}{100} = 0,063
  3. Calculate the price in 2015 using the inflation formula.

    The future price (FV) is calculated as:

    FV=PV×(1+inflation rate)FV = PV \times (1 + \text{inflation rate})

    Where PVPV is the present value.

    Substitute the given values:

    FV=R8,51×(1+0,063)FV = \text{R}8,51 \times (1 + 0,063) FV=R8,51×(1,063)FV = \text{R}8,51 \times (1,063) FV=R9,04613FV = \text{R}9,04613
  4. Round the answer to two decimal places, as it represents currency.

    FV≈R9,05FV \approx \text{R}9,05

    The price of the soap in 2015 will be R9,05.

    The final answer is R9,05\text{R}9,05.

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