Answer:
100x+120y = z
z= $ 63000
Step-by-step explanation:
Product Welding Assembly Painting Cont. to profit
X 2x hours 3x hours 1xhour = $100x
Y 3y hours 2y hours 1y hour = $120y
<u> </u>
Total hours 1500 hours 1500 hours 550 hours
available
Let X represent product X
Let Y represent Product Y
2x + 3y = 1500
x + y = 550
y= 550-x
2x + 3(550-x) = 1500
2x + 1650- 3x = 1500
150 = x
y = 550-150
y = 400
Objective Function Z = 100x + 120y
Z = 100(150) + 120( 400)
Z = 15000+48000
Z = $63000
Answer: $2,442
Step-by-step explanation:
P=2000
r= 4%= 4/100= 0.04
t= 5 years
A is therefore 2000e0.04(5)
=2000e0.2
=$2,442.8
To the nearest dollar will give $2,442
The answer is positive 25 and negative 25
The length of pendulum is 2.485 feet
<h3><u><em>
Solution:</em></u></h3>
Given that,
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth
<u><em>Therefore, the given formula is:</em></u>
We have to find the length of pendulum that makes one full swing in 1.75 seconds
So the modify the given equation to find "L"
Substitute T = 1.75 seconds and 
Thus length of pendulum is 2.485 feet approximately
the amount they paid includes the price of the two smoothies and tip
since the friends are splitting the bill in 2, then each friend pays only half the amount
each friend pays $ 3.60 each
so the total amount they both paid is 3.60 x 2 = $ 7.20
the cost of one smoothie - $3
therefore the cost of the 2 smoothies - 3 x 2 = $ 6
so they paid 7.20 but the bill was only 6 dollars
so the difference in the 2 amounts is the value of the tip they left
tip = 7.20 - 6 = 1.20
so the percentage of the tip is - tip amount / value of the bill x 100 %
percentage = 1.20 / 6.0 x 100 % = 20 %
they left 20 % of the bill as a tip
