Answer:
Step-by-step explanation:
Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.


Answer:
$3.49 for the muffin, and $2.96 for the coffee
Step-by-step explanation:
(3.25)(1.075) = 3.49
(2.75)(1.075) = 2.96
How to find the factor to multiply by
1.075 = 1+.075, 7.5% = 7.5/100 = .075
To find the cost of labor for one worker, you multiply the wage by the number of hours worked.
40 * 8 = 320
Because there are two workers, now you double it.
320 * 2 = 640
To find the percentage of the revenue that this is, you do the labor cost divided by the revenue.
640 / 2000 = 0.32
Move the decimal two places to the right to get the percentage.
0.32 = 32%
The labor cost is 32% of the revenue.