Mathematics
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OpenStudy (howard-wolowitz):
MATH TIME!!!
11 years ago
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OpenStudy (howard-wolowitz):
11 years ago
OpenStudy (howard-wolowitz):
10.6666
21.3333
42.6666
5.3333
11 years ago
OpenStudy (howard-wolowitz):
Calculate the sum:
11 years ago
OpenStudy (howard-wolowitz):
@freckles
11 years ago
OpenStudy (howard-wolowitz):
@pmkat14
11 years ago
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OpenStudy (howard-wolowitz):
@pooja195
11 years ago
OpenStudy (howard-wolowitz):
@asnaseer
11 years ago
OpenStudy (howard-wolowitz):
@Godlovesme
11 years ago
OpenStudy (godlovesme):
sowwyyy idk this stuff :/
11 years ago
OpenStudy (howard-wolowitz):
@radar
11 years ago
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OpenStudy (howard-wolowitz):
@mathmath333
11 years ago
OpenStudy (howard-wolowitz):
@phi
11 years ago
OpenStudy (freckles):
hint:
\[\sum_{i=2}^{14}128(\frac{1}{4})^i \\ =[\sum_{i=0}^{14}128(\frac{1}{4})^i]-128(\frac{1}{4})^1-128(\frac{1}{4})^0\]
11 years ago
OpenStudy (howard-wolowitz):
freckles thank god ur here
11 years ago
OpenStudy (howard-wolowitz):
work that out?
11 years ago
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OpenStudy (freckles):
well for the first term you can use that formula we been using
11 years ago
OpenStudy (freckles):
\[=128 \cdot \frac{1-(\frac{1}{4})^{14}}{1-\frac{1}{4}}-128(\frac{1}{4})-128\]
then after you use that formula you can take care of those other differences
11 years ago
OpenStudy (howard-wolowitz):
yeah i got that too
11 years ago
OpenStudy (freckles):
well let's work on that first term there
11 years ago
OpenStudy (freckles):
(1/4)=.25
and (.25)^(14)=?
11 years ago
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OpenStudy (freckles):
lol you might not want to use the phone calculator for this
11 years ago
OpenStudy (freckles):
unless you have one those app calculators that might be okay
11 years ago
OpenStudy (freckles):
well whatever you do you do 1-that answer
11 years ago
OpenStudy (freckles):
then divide that by (.75)
11 years ago
OpenStudy (freckles):
you know since 1-.25 is .75
11 years ago
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OpenStudy (howard-wolowitz):
it wont work on my cal
11 years ago
OpenStudy (freckles):
hmm... then get a calculator that isn't your phone
11 years ago
OpenStudy (freckles):
or get an app calculator
sometimes those are okay
11 years ago
OpenStudy (howard-wolowitz):
ok it said 1.3333333333
11 years ago
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OpenStudy (freckles):
so you have something close to:
\[128(1.3333)-\frac{128}{4}-128\]
11 years ago
OpenStudy (freckles):
and the reason I said close because like before on that one question we are again working with approximations
11 years ago
OpenStudy (howard-wolowitz):
yes
11 years ago
OpenStudy (freckles):
see if you can finish this
11 years ago
OpenStudy (howard-wolowitz):
u know i cant
11 years ago
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OpenStudy (howard-wolowitz):
so i got 1.3333 then what?
11 years ago
OpenStudy (freckles):
don't you know order of operations?
11 years ago
OpenStudy (freckles):
do 128 times 1.3333
11 years ago
OpenStudy (freckles):
or @Howard-Wolowitz you can enter what I have above into that calculator website I just gave you
11 years ago
OpenStudy (howard-wolowitz):
i got 170.6624
11 years ago
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OpenStudy (freckles):
okay then just take away 128/4 and then from that take away 128
11 years ago
OpenStudy (freckles):
good luck
i have to go
11 years ago
OpenStudy (howard-wolowitz):
by take do u mean subtract???
11 years ago
OpenStudy (howard-wolowitz):
@ganeshie8
11 years ago
OpenStudy (howard-wolowitz):
@hartnn
11 years ago
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OpenStudy (howard-wolowitz):
Hi I'm still stuck
11 years ago
OpenStudy (howard-wolowitz):
@AdamK
11 years ago
OpenStudy (howard-wolowitz):
@mathmate
11 years ago
OpenStudy (welshfella):
this is a geometric series with first term (1/4)^2 and common difference = 1/4
* 128
so sum = 128 * (1/16) *[ (1/4)^13 - 1] / (1 - 1/4)
11 years ago
OpenStudy (howard-wolowitz):
ok i got as far as getting 1.3333
11 years ago
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OpenStudy (welshfella):
* i made an error in last post = it should be / (1/4 - 1)
11 years ago
OpenStudy (welshfella):
what did you do to get 1.3333
11 years ago
OpenStudy (howard-wolowitz):
i didnt that other guy did
11 years ago
OpenStudy (howard-wolowitz):
he also said the answer was 10.6666
11 years ago
OpenStudy (welshfella):
right so multiply this by the first term 1/16
then multiply by 128 and you've got it
11 years ago
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OpenStudy (welshfella):
1.3333 * 0.0625 * 128
11 years ago
OpenStudy (welshfella):
( note 1/16 = 0.0625)
11 years ago
OpenStudy (howard-wolowitz):
ok one sec
11 years ago
OpenStudy (howard-wolowitz):
ok i got 10.6664
11 years ago
OpenStudy (welshfella):
right
thats option a
11 years ago
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OpenStudy (howard-wolowitz):
AWESOME ok next question
11 years ago
OpenStudy (howard-wolowitz):
new thread or no
11 years ago
OpenStudy (welshfella):
sorry gotta go right now
11 years ago