Answer:
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Step-by-step explanation:
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Let's rewrite the equation as

This should be enough to convince you that the equation has no solutions, no matter which value for k you choose. In fact, the left hand side of the equation is an absolute value, which by definition is always positive, or zero in the worst case.
The equality asks for this quantity to equal -3, a negative number.
A non-negative quantity can never equal a stricktly negative quantity, so the equation has no solutions.
First, square both sides of equation so it ends up to be:
a/6=81
so
a=27/2
Answer:
Betsy will save $121 in 5 weeks.
Step-by-step explanation:
We can see that Betsy's savings are 3 times the saving of her last week. We can see that this is an geometric sequence as 1,3,9,..
To find the sum of our geometric sequence we will use
, where n is number of terms we are taking sum of, a is first term of sequence and r is common ratio of the sequence.



Therefore, Betsy will save $121 in 5 weeks.