Answer:
0.527
Step-by-step explanation:
From the question,
The sequence is Geometry Progression (G.P)
Tₙ = arⁿ⁻¹.......................... Equation 1
Where n = number of term, a = first term, r = common ratio
Given: n = 7, a = 6, r = 2/3
Substitute these values into equation 1
T₇ = 6(2/3)⁷⁻¹
T₇ = 6(2/3)⁶
T₇ = 6(64/729)
T₇ = 384/729
T₇ = 0.527
Hence, the 7th term of the sequence is 0.527
Answer:

Step-by-step explanation:
Equation: 
1).
→
2).
∴ 
3). 

4). now plug
into 


5). Minimum (0,-5) ∴ 
Answer:
3(4+x)
which can be simplified to 12+3x
Since it includes 11% sales tax, this means that (purchase)+11% of (purchase)=25.00. Since 11% = 0.11 by multiplying it by 1/100, we have 1*purchase+0.11*purchase=1.11*purchase=25.00. Dividing both sides by 1.11, we get around 22.73 as the original purchase. This means that the difference between the purchase price and the total price is the sales tax, which is around 2.27 dollars.
Feel free to ask further questions!