String a is 35 cm.....string b is 5 times as long as string a.....
so string b is 5(35) = 175 cm....both are needed....
175 + 35 = 210 cm for 1 bottle
for 17 bottles...
17 * 210 = 3570 cm <== 3570 cm are needed for 17 bottles
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Answer:
it depends on what he means
Step-by-step explanation:
The friend needs to clarify the meaning of "if three lines intersect each other." If Line A intersects lines B and C, there will be two points of intersection, one at line B and one at line C.
If those lines are all in the same plane, and B and C are not parallel, so that line B intersects line C, then there will be a total of three points of intersection.
If the point of intersection of B and C is also the point where line A intersects them, then there will be only one point of intersection.
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So, if the meaning is "if there are three non-parallel lines in the same plane, and each intersects the other two", then the Line Intersection Postulate guarantees there will be 1 or 3 points of intersection.
If the meaning is "if there are three lines not necessarily in the same plane, and one intersects the other two (but those two don't intersect each other)", then there may be 1 or 2 points of intersection (allowing that all lines may intersect at the same point).
4/9 + (x-1) = 28/9 - (x-7x) + 1
4/9 + x - 1 = 28/9 - x + 7x + 1
-5/9 + x = 37/9 + 6x
-5x = 42/9
-5x = 4.6 (repeating 6)
x = -0.93 (repeating 3)
Hope this helps! ;)
Answers:
- interest = $75
- balance at maturity = $3075
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Explanation:
The simple interest formula is
i = p*r*t
where in this case,
- p = 3000 = principal (amount deposited)
- r = 0.10 = annual interest rate in decimal form
- t = 3/12 = 0.25 = number of years
So,
i = p*r*t
i = 3000*0.10*0.25
i = 75 is the amount of interest earned
This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)
The balance at maturity is p+i = 3000+75 = 3075 dollars
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In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.
