Problem

Suppose the value $R(d)$ of $d$ dollars in euros is given by $R(d)=\frac{5}{6} d$.
The cost $P(n)$ in dollars to purchase and ship $n$ purses is given by $P(n)=55 n+23$.
Write a formula for the cost $Q(n)$ in euros to purchase and ship $n$ purses.
It is not necessary to simplify.

Answer

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Answer

\(\boxed{Q(n) = 45.83n + 19.17}\) is the cost in euros to purchase and ship n purses.

Steps

Step 1 :Let's denote the cost in dollars to purchase and ship n purses as \(P(n) = 55n + 23\).

Step 2 :The conversion rate from dollars to euros is given by \(R(d) = \frac{5}{6}d\).

Step 3 :We can substitute \(P(n)\) into \(R(d)\) to get the cost in euros, which gives us \(Q(n) = R(P(n)) = \frac{5}{6}P(n)\).

Step 4 :Substituting \(P(n)\) into the equation gives us \(Q(n) = \frac{5}{6}(55n + 23)\).

Step 5 :Simplifying the equation gives us \(Q(n) = 45.83n + 19.17\).

Step 6 :\(\boxed{Q(n) = 45.83n + 19.17}\) is the cost in euros to purchase and ship n purses.

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