asked 111k views
5 votes
The price of gourmet coffee beans at the corner market has increased 10% per year over the past several years if the current cost is $40 per pound what did a pound of gourmet beans cost two years ago

asked
User Sajadre
by
8.3k points

2 Answers

5 votes
$20 because 10% of 40 is 10 and the price now is 40 so 2 years before would have been 20
answered
User Kleptine
by
8.2k points
2 votes

Answer: $32.4

Explanation:

Given : The price of gourmet coffee beans at the corner market has increased 10% (0.1) per year over the past several years.

The current cost is $40 per pound .

The exponential decay equation is given by :-


y=A(1-r)^x, where r is the rate of decay and A is the initial amount and x is the time period.

Put A = 40 , r= 0.1 and t=2, we get


y=40(1-0.1)^2=\$32.4

Hence, the cost of a pound of gourmet beans two years ago= $32.4

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