he rate of inflation in the fictional land of Sardonia is such that the price of a car costing 28 comma 000 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 seven ​years?

Respuesta :

Answer:

What is the annual rate of​ inflation?

  • 6.5%

What will be the price of this car in seven ​years?

  • the price of the car will be $43,511.62

Explanation:

using the rule of 72 we can calculate the annual inflation rate:

72/11 = r = 6.5%

the rule of 72 can be used to determine the total number of years it takes a economy (or other variable) to double its size given a certain growth rate (or interest rate).

to determine the price of the car in 7 years, we can use the future value formula:

future value = present value x (1 + r)ⁿ

  • present value = $28,000
  • r = 6.5%
  • n = 7

future value = $28,000 x 1.065⁷ = $43,511.62

The annual rate of​ inflation is 6.5% and the price of the car in seven ​years will be $43,511.62.

It should be noted that the rule of 72 can be used to calculate the rate of return. This will be

Rate = 72/11

Rate = 6.5%

Therefore, the price of the car in 7 years will be:

= present value x (1 + r)ⁿ

where

present value = $28,000

r = 6.5%

n = 7

Therefore, the future value will be:

= $28,000 x 1.065⁷

= $43,511.62

Read related link on:

https://brainly.com/question/15311689