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denis23 [38]
3 years ago
8

A pen costs twice as much as a pencil. The total cost of 1 pen and 1 pencil is $2.10. If p represents the cost of 1 pencil, whic

h equation could you use to find p?
Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer:

3p = $2.10

p = $0.70

Step-by-step explanation:

Cost of a pencil: p

Cost of a pen: p × 2 = 2p

If the cost of 1 pen and 1 pencil is $2.10,

2p + 1p = $2.10

3p = $2.10

p = $0.70

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2 years ago
Find the geometric sum 4 + 12 + 36 + . . . + 236,196.
Zolol [24]
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Without doing any detailed calculation, you know the best answer choice is ...
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_____
There are log(236196/4)/log(3) + 1 = 11 terms* in the series, so the sum will be found to be 4(3^11 -1)/(3-1) = 2*(3^11-1) = 354,292.

Using the above approach (working backward from the last term), the sum will be 236,196*(1-(1/3)^11)/(1-(1/3)) = 236,196*1.49999153246 = 354,292

___
* If you just compute log(236196/4)/log(3) = 10 terms, then your sum comes out 118,096--a tempting choice. However, you must realize that the last term is larger than this, so this will not be the sum. (In fact, the sum is this value added to the last term.)
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