Question
Suppose the value \( R(d) \) of \( d \) dollars in euros is given by \( R(d)=\frac{9}{10} d \). The cost \( P(n) \) in dollars to purchase and ship \( n \) purses is given by \( P(n)=99 n+23 \). Write a formula for the cost \( Q(n) \) in euros to purchase and ship \( n \) purses. It is not necessary to simplify. \( Q(n)=\square \)
Ask by Turner Evans.
Feb 10,2025 02:23
UpStudy AI Solution
Tutor-Verified Answer
Answer
\( Q(n) = \frac{9}{10}(99n + 23) \)
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Beyond the Answer
To convert the cost from dollars to euros, we can substitute \( P(n) \) into the formula for \( R(d) \). First, let's find the expression for \( P(n) \):
\[
P(n) = 99n + 23.
\]
Now, we plug \( P(n) \) into \( R(d) \):
\[
Q(n) = R(P(n)) = R(99n + 23) = \frac{9}{10}(99n + 23).
\]
Thus, the formula for the cost \( Q(n) \) in euros to purchase and ship \( n \) purses is:
\[
Q(n) = \frac{9}{10}(99n + 23).
\]
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