Solve. If a gallon of milk costs $3 now and the price is increasing 10% each year, how long before a gallon of milk costs $10?

Respuesta :

Answer: 12.63 years

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

A = P (1 + r) t  

Where:  

p = original price

r = increasing rate (decimal form)  

t= years  

A = price after t years  

10= 3 (1 + 10/100) t  

10= 3(1.1)^t

10/3= 1.1^t

log 10/3 = log 1.1^t

log 10/3 = t log 1.1

log (10/3)/ log 1.1 =t

t = 12.63 years

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