Answer: g is a geometric sequence.
Step-by-step explanation:
Each year since then, her account accumulated interest amounting to
15% of the balance in the previous year.
15% = 15/100 = 0.15
Since the balance is increasing each year, then the constant factor by which it is increasing is 1 + 0.15 = 1.15.
This factor of 1.15 is a common ratio. This means that the sequence is a geometric sequence since it is increasing by a common ratio.
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State tax is computed by first subtracting the amount of exemptions
(5*$1000=$5000) from annual income and then multiplying it by the state
tax.
($18150-$5000)*5%= $657.50
Simplify the first numerator first
-2(x+1)
-2x-2
Then you can set up an equation using cross multiplication
5(-2x-2)= 3x
Simplify and solve
-10x-10=3x
-10=13x
-10/13=x
Final answer: x=-10/13
