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The cost of first-class postage in the United States increased approximately 5.4% in January of 2006 to 39 cents. What was the pre- January cost of the first-class stamp? Round your answer to the nearest penny.

Verified Answer :

39 cents divided by 1.054 = 37cents

Answer:

d. $0.37

Step-by-step explanation:

Let x be the pre-January cost of first class postage.

We have been given that the cost of first-class postage in the United States increased approximately 5.4% in January of 2006 to 39 cents.

This means that x plus 5.4% of x is equal to 39 cents ($0.39). We can represent this information in an equation as:

\(x+\frac{5.4}{100}x=0.39\)

Let us solve for x.

\(x+0.054x=0.39\)

\(1.054x=0.39\)

\(\frac{1.054x}{01.054}=\frac{0.39}{1.054}\)

\(x=0.3700189753\approx 0.37\)

Therefore, the pre-January cost of the first class stamp is $0.37 pennies and option d is the correct choice.