Question 1189949
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20% of 20 gallons is 4 gallons.  So you start with 4 gallons in the jug.<br>
The amount added every third day is half the amount in the jug at the beginning of that day; that means the amount in the jug is multiplied by 1.5.  So<br>
{{{4(1.5)^x=20}}}
{{{1.5^x=5}}}<br>
Use logarithms, or a graphing calculator....<br>
Or...<br>
{{{1.5 = 3/2}}}
{{{1.5^x=(3/2)^x}}}<br>
{{{(3/2)^4 = 81/16 = 5.0625}}}<br>
That is slightly more than what we need; so adding more water to the jug 4 times will fill the jug.<br>
And since water is added to the jug every third day, the number of days it takes to fill the jug is 4*3=12.<br>
ANSWER: C)12<br>