The rate of inflation measures the percentage increase in the price of consumer goods. The rate of inflation in the year 2014 was 2% per year. To get a sense of what this rate would mean in the long run, let's suppose that it persists through 2034. What would be the cost in 2015 of an item that costs $400 in 2014? (Round your answer to the nearest cent.)

Respuesta :

Answer:

In 2015 it will cost $408

Explanation:

Giving the following information:

The rate of inflation in the year 2014 was 2% per year.

What would be the cost in 2015 of an item that costs $400 in 2014?

We need to use the following formula:

Final Value= Present Value*(1+i)^n

i= inflation rate

FV= 400*1.02= $408

Answer:

Inflation refers to the time in the economy when the prices of goods and services increase due to fluctuations in the demand and supply in various perspectives.

Explanation:

Giving the following information:

The rate of inflation in the year 2014 was 2% per year.

We need to calculate, the cost of an item in 2015 that costs $400 in 2014.

 

[tex]\begin{aligned}\text{Future Value}&=\text{Present Value}\times(1+\text{i})^{\text{n}}\\&=400\times(1+0.02)^{1}\\&=\$408 \end{aligned}[/tex]  

 

 Where  i= rate of interest

            n= number of years.

Therefore the final answer is, the cost of an item in 2014 will be $408.

And to the nearest cent, the final answer is $410.

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