Ellen wants to purchase a book that is regularly priced at $18. The book is discounted 15%. She also needs to pay a 6% sales tax on the discounted price.
What is the total amount Ellen will pay for the book?
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OpenStudy (anonymous):
@Michele_Laino
OpenStudy (anonymous):
@Loser66
OpenStudy (itsbribro):
$16.22 i believe
OpenStudy (anonymous):
ok :)
OpenStudy (michele_laino):
after discount, the new price is:
\[\Large 18 - \left( {\frac{{15}}{{100}} \cdot 18} \right) = ...?\]
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OpenStudy (itsbribro):
oops i messed up lol
OpenStudy (anonymous):
153/10
OpenStudy (anonymous):
@Michele_Laino
OpenStudy (anonymous):
is it 15.3 @Michele_Laino
OpenStudy (michele_laino):
please wait, I check your result
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OpenStudy (anonymous):
ok :)
OpenStudy (michele_laino):
yes! correct!
OpenStudy (anonymous):
ok :)
OpenStudy (anonymous):
OpenStudy (michele_laino):
now, the requested price is given by the subsequent computation:
\[\Large 15.3 + \left( {\frac{6}{{100}} \cdot 15.3} \right) = ...?\]
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OpenStudy (michele_laino):
and
15.3+0.918=...?
OpenStudy (anonymous):
16.128
OpenStudy (anonymous):
i mean 16.218
OpenStudy (michele_laino):
yes! correct! That result can be rounded off to 16.22
OpenStudy (anonymous):
so whats the final answer?
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OpenStudy (michele_laino):
the final answer is 16.22
OpenStudy (anonymous):
are you sure?
OpenStudy (michele_laino):
yes!
OpenStudy (anonymous):
ok :)
OpenStudy (anonymous):
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OpenStudy (michele_laino):
here the rate of the car is:
space/time,
\[\Large \frac{{1/6}}{{3/5}} = \frac{1}{6} \cdot \frac{5}{3} = ...?\]
OpenStudy (michele_laino):
please express your result as a fraction
OpenStudy (anonymous):
1/10
OpenStudy (michele_laino):
I'm sorry, it is wrong
OpenStudy (anonymous):
1/10 is wrong?
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OpenStudy (michele_laino):
yes!
OpenStudy (anonymous):
5/18?
OpenStudy (michele_laino):
correct!
OpenStudy (michele_laino):
that rate is the space traveled in 1 hour
OpenStudy (michele_laino):
so the requested distance is:
distance= speed*time
\[\Large {\text{distance}} = \frac{5}{{18}} \cdot 1 = ...?\]
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OpenStudy (anonymous):
sorry i meant 5/18
OpenStudy (michele_laino):
correct!
OpenStudy (anonymous):
is that the final answer?
OpenStudy (michele_laino):
yes!
OpenStudy (anonymous):
okay :)
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OpenStudy (michele_laino):
:)
OpenStudy (anonymous):
@Michele_Laino
OpenStudy (michele_laino):
part A)
If I call with p the price in September, then I can write this equation:
\[\Large \begin{gathered}
p + \left( {\frac{{20}}{{100}} \cdot p} \right) = 1.5 \hfill \\
\hfill \\
or:
\\
\\
1.2p = 1.5 \hfill \\
\end{gathered} \]
please solve for p
OpenStudy (anonymous):
p=1.25
OpenStudy (michele_laino):
correct!
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OpenStudy (anonymous):
is that the final answer for part A?
OpenStudy (michele_laino):
yes!
OpenStudy (anonymous):
ok now part b?
OpenStudy (michele_laino):
here, we note that:
in september the earned money is:
\[\Large 900 \cdot \left( {1.25 \cdot \frac{{40}}{{100}}} \right) = ...?\]
whereas in october, the earned money is:
\[\Large 700 \cdot \left( {1.5 \cdot \frac{{40}}{{100}}} \right) = ...?\]
please compute both amounts of money
OpenStudy (anonymous):
i got 450 for september and 420 for october
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OpenStudy (michele_laino):
correct!
So, what is your answer?
OpenStudy (anonymous):
um its says choose one... for the first one these are the multiple choices.. september or october and the other choose one are... $30, $75, or $190
OpenStudy (michele_laino):
yes!
450-420=...?
OpenStudy (anonymous):
30
OpenStudy (michele_laino):
so what are your options?
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OpenStudy (anonymous):
for which one... there are two answers for part b
OpenStudy (michele_laino):
yes! for part B) there are 2 options
OpenStudy (anonymous):
right
OpenStudy (michele_laino):
first option: is september or october?
OpenStudy (anonymous):
yes
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OpenStudy (michele_laino):
please choose
OpenStudy (anonymous):
september
OpenStudy (michele_laino):
correct!
second option: is 30, 75 or 190?
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
$30?
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OpenStudy (michele_laino):
correct!
OpenStudy (anonymous):
yay! so september and 30
OpenStudy (michele_laino):
yes!
OpenStudy (anonymous):
@Michele_Laino
OpenStudy (michele_laino):
part A)
hint:
your line passes at point (0,0), namely the origin
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