$3,500 budget minus $50 clean up fee equals $3,450.
3500 - 50 = 3450
$3,450 divided by $31 per person equals 111.29
3450 / 31 = 111.29
111 people multiplied by $31 equals $3,441 plus $50 clean up fee equals $3,491
111 x 31 = 3441
3441 + 50 = 3491
They can invite 111 people and will have $9 to spare
2800 + 3200 + 3600 = 9600kWh
9600kWh divided by three is the average energy usage per month
3200kWh
3200kWh times by 3 cents is the average cost per month in cents
9600 cents
divided by 100 is the price in dollars
$96
(a) We want to find a scalar function
such that
. This means


Looking at the first equation, integrating both sides with respect to
gives

Differentiating both sides of this with respect to
gives

Then the potential function is

(b) By the FTCoLI, we have



Answer:
Step-by-step explanation:
n + (n+1) = 123
2n+1 = 123
n = 61
Step-by-step explanation:
angle marked on diagram = 180 - 75 = 105° (supplementary angles)
x = 105° (alternate angles are equal)