Click link above for the answer
Here, it helps to find a general expression for the nth term in the
sequence. Since the sequence is arithmetic, the general term is a_n = a +
bn, where b is the common difference. By inspection of the first few
terms we see the common difference is -4. Then by solving a_1 = a - 4x1 =
5, we obtain a = 9, so the nth term is: a_n = 9-4n. We then solve
a_n=-111 for n, so 9-4n=-111. Rearranging, we get 4n=9+111, or 4n=120,
or n=30. Thus there are 30 terms in the sequence.
First find the Unit Rate by dividing 98/8 which is : $12.25 per hour. Then divide $441 by $12.25. The answer is 36. You would have to work 36 hours to earn $441.
Let A represent amount of Type A coffee pounds used.
Let B represent amount of Type B coffee pounds used
A + B = 156
B = 156 - A
A = 156 - B
5.80A + 4.65B = 826.60
580 (156 - B) + 4.65B - 826.60 = 0
904.8 - 5.80B + 4.65B - 826.60 = 0
904.8 - 1.15B - 826.60 = 0
78.2 - 1.15B = 0
78.2/1.15 = 1.15B/1.15
68 = B
B = 68 pounds of Type B coffee
There's many more steps you can take to check and etc but am too lazy to put down sorry.
