anonymous
  • anonymous
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? Enter your answer in the box.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
itsbribro
  • itsbribro
$16.22 i believe

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anonymous
  • anonymous
ok :)
Michele_Laino
  • Michele_Laino
after discount, the new price is: \[\Large 18 - \left( {\frac{{15}}{{100}} \cdot 18} \right) = ...?\]
itsbribro
  • itsbribro
oops i messed up lol
anonymous
  • anonymous
153/10
anonymous
  • anonymous
anonymous
  • anonymous
is it 15.3 @Michele_Laino
Michele_Laino
  • Michele_Laino
please wait, I check your result
anonymous
  • anonymous
ok :)
Michele_Laino
  • Michele_Laino
yes! correct!
anonymous
  • anonymous
ok :)
anonymous
  • anonymous
1 Attachment
Michele_Laino
  • Michele_Laino
now, the requested price is given by the subsequent computation: \[\Large 15.3 + \left( {\frac{6}{{100}} \cdot 15.3} \right) = ...?\]
anonymous
  • anonymous
15.6
Michele_Laino
  • Michele_Laino
I got a different result
anonymous
  • anonymous
what did you get?
Michele_Laino
  • Michele_Laino
hint: \[\Large \frac{6}{{100}} \cdot 15.3 = ...?\]
anonymous
  • anonymous
Michele_Laino
  • Michele_Laino
and 15.3+0.918=...?
anonymous
  • anonymous
16.128
anonymous
  • anonymous
i mean 16.218
Michele_Laino
  • Michele_Laino
yes! correct! That result can be rounded off to 16.22
anonymous
  • anonymous
so whats the final answer?
Michele_Laino
  • Michele_Laino
the final answer is 16.22
anonymous
  • anonymous
are you sure?
Michele_Laino
  • Michele_Laino
yes!
anonymous
  • anonymous
ok :)
anonymous
  • anonymous
1 Attachment
Michele_Laino
  • Michele_Laino
here the rate of the car is: space/time, \[\Large \frac{{1/6}}{{3/5}} = \frac{1}{6} \cdot \frac{5}{3} = ...?\]
Michele_Laino
  • Michele_Laino
please express your result as a fraction
anonymous
  • anonymous
1/10
Michele_Laino
  • Michele_Laino
I'm sorry, it is wrong
anonymous
  • anonymous
1/10 is wrong?
Michele_Laino
  • Michele_Laino
yes!
anonymous
  • anonymous
5/18?
Michele_Laino
  • Michele_Laino
correct!
Michele_Laino
  • Michele_Laino
that rate is the space traveled in 1 hour
Michele_Laino
  • Michele_Laino
so the requested distance is: distance= speed*time \[\Large {\text{distance}} = \frac{5}{{18}} \cdot 1 = ...?\]
anonymous
  • anonymous
sorry i meant 5/18
Michele_Laino
  • Michele_Laino
correct!
anonymous
  • anonymous
is that the final answer?
Michele_Laino
  • Michele_Laino
yes!
anonymous
  • anonymous
okay :)
Michele_Laino
  • Michele_Laino
:)
anonymous
  • anonymous
Michele_Laino
  • 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
anonymous
  • anonymous
p=1.25
Michele_Laino
  • Michele_Laino
correct!
anonymous
  • anonymous
is that the final answer for part A?
Michele_Laino
  • Michele_Laino
yes!
anonymous
  • anonymous
ok now part b?
Michele_Laino
  • 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
anonymous
  • anonymous
i got 450 for september and 420 for october
Michele_Laino
  • Michele_Laino
correct! So, what is your answer?
anonymous
  • 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
Michele_Laino
  • Michele_Laino
yes! 450-420=...?
anonymous
  • anonymous
30
Michele_Laino
  • Michele_Laino
so what are your options?
anonymous
  • anonymous
for which one... there are two answers for part b
Michele_Laino
  • Michele_Laino
yes! for part B) there are 2 options
anonymous
  • anonymous
right
Michele_Laino
  • Michele_Laino
first option: is september or october?
anonymous
  • anonymous
yes
Michele_Laino
  • Michele_Laino
please choose
anonymous
  • anonymous
september
Michele_Laino
  • Michele_Laino
correct! second option: is 30, 75 or 190?
anonymous
  • anonymous
yea
anonymous
  • anonymous
$30?
Michele_Laino
  • Michele_Laino
correct!
anonymous
  • anonymous
yay! so september and 30
Michele_Laino
  • Michele_Laino
yes!
anonymous
  • anonymous
Michele_Laino
  • Michele_Laino
part A) hint: your line passes at point (0,0), namely the origin
anonymous
  • anonymous
i got... a,c and e
Michele_Laino
  • Michele_Laino
correct!
anonymous
  • anonymous
yay! thanks so much! :)
Michele_Laino
  • Michele_Laino
:)

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