9514 1404 393
Answer:
1,953,125
Step-by-step explanation:
The first term is a1 = 5; the common ratio is r = -25/5 = -5. The generic term is ...
an = a1×r^(n-1)
an = 5×(-5)^(n-1)
So, the 9th term is ...
a9 = 5×(-5)^(9-1) = 1,953,125
52 x 1.05 = $54.60
+ $4.37 (taxes) = $58.97
3 $20 bills is $60 so $60 - $58.97 = $1.03 (his change)
120(32) + 160,500
= 3840 + 160,500
= 164,340
Answer:
Each pitcher has the same fraction of the other drink.
Step-by-step explanation:
After 1 cup of tea is added to x cups of lemonade, the mix has the ratio 1:x of tea to lemonade. So, the fraction of mix that is tea is 1/(x+1).
The 1 cup of mix contains 1/(x+1) cups of tea and so x/(x+1) cups of lemonade. When that amount of lemonade is added to the tea, it brings the proportion of lemonade in the tea to (x/(x+1))/x = 1/(x+1), the same proportion as that of tea in the lemonade.
_____
You can consider the degenerate case of one cup of drink in each pitcher. Then when the 1 cup of tea is removed from its pitcher and added to the lemonade, you have a 50-50 mix of tea and lemonade. Removing 1 cup of that mix and putting it back in the tea pitcher makes there be a 50-50 mix in both pitchers.
Increasing the quantity in each pitcher does nothing to change the fact that the mixes end up in the same ratio:
tea:lemonade in Pitcher 1 = lemonade:tea in Pitcher 2
Answer:
-31, -26, -5
Step-by-step explanation:
