Advanced Functions,Exponential Functions

AI Thread Summary
Inflation is projected to increase the cost of gasoline by 2.5% annually, starting from a price of $0.90 per litre in 2009. To determine the future cost of a litre of gasoline in 10 years, the formula A = A0(1+i)^n is applied, where A0 is the initial price, i is the inflation rate, and n is the number of years. The calculation shows that the price will not be a simple addition of increases but rather compounded annually. After applying the formula correctly, the cost of filling a 60-litre gas tank can be accurately estimated. This approach highlights the importance of understanding exponential growth in financial calculations.
ohhnana
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Homework Statement


Inflation is currently causing the cost of items to increase by about 2.5% per year. In 2009 a litre of gasoline costs approximately $0.90. What will it cost to fill a 60 litre gas tank 10 years from now? Round your answer to the nearest dollar.


Homework Equations



A=A0(1+i)^n

The Attempt at a Solution


C=.90+.025*10(.90)
 
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ohhnana said:

Homework Statement


Inflation is currently causing the cost of items to increase by about 2.5% per year. In 2009 a litre of gasoline costs approximately $0.90. What will it cost to fill a 60 litre gas tank 10 years from now? Round your answer to the nearest dollar.


Homework Equations



A=A0(1+i)^n

The Attempt at a Solution


C=.90+.025*10(.90)
= 1.125.

This answer doesn't take into account that the 2.5% increase is on the previous year's price. Use the equation you considered to be relevant to find the cost of a liter of gas in the 12 years from 2009 to 2021.

Then calculate the cost of a 60 L tank of gas.
 
so what would A0 be?
 
Thank You
 
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