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The rate of inflation in the fictional land of sardonia is such that the price of a car costing 24000 dollars in u.s. currency will double in eleven years. what is the annual rate of inflation? what will be the price of this car in five years?

Sagot :

The annual rate of inflation is 35560.86%.

What is inflation?

  • Inflation is defined as an increase in the overall price of goods and services in an economy.
  • When the general price level rises, each unit of currency purchases fewer products and services; hence, inflation equates to a loss of money's purchasing power.
  • Deflation, or a sustained reduction in the general price level of goods and services, is the inverse of inflation.
  • The inflation rate, which is the annualized percentage change in a general price index, is the most commonly used metric of inflation.

To find the annual rate of inflation:

  • 48,000=24,000e^k(7)
  • 24,000 24,000
  • 2=e^k(7)
  • ln2=lne^k7
  • ln2=k7
  • 7 7
  • k=0.099 --> k=9.9%

Now, sub in 4 and 0.099

  • =24,000e^(0.099)(4)
  • =35560.86

Therefore, the annual rate of inflation is 35560.86%.

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The correct question is given below:

The rate of inflation in the fictional land of Sardinia is such that the price of a car costing 24,000 dollars in U.S. currency will double in seven years. What is the annual rate of inflation? what will be the price of this car in four years?