5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount of 45% copper and y represent the amount of 66% copper needed to make 42 pounds of a third alloy containing 66% copper. Hence:
x + y = 42 (1)
Also:
0.45x + 0.69y = 42(0.66) (2)
This gives:
x = 5.25, y = 36.75
5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper
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It depends on the side lengths, but the sum of all the angles is 360°
Answer:
c² = 3² +6² - 2⋅3⋅6⋅cos 60
c = 27ft
Step-by-step explanation:
Since the angle is located in between the sides of the sides, we will use the cosine rule to get the unknown sides
Let c be the missing sides
According to the cosine rule;
c² = a²+ b² - 2abcosC
c² = 3² +6² - 2⋅3⋅6⋅cos 60
c² = 9 + 36 - 36cos60
c² = 45 - 36cos60
c² = 45 - 36(0.5)
c² = 45 - 18
c² = 27ft
Hence the missing attribute is 27ft and the required expression is c² = 3² +6² - 2⋅3⋅6⋅cos 60
Use the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 5500
PMT monthly payment?
R interest rate 0.115
K compounded monthly 12
N time 5years
Solve the formula for PMT
PMT=Pv÷ [(1-(1+r/k)^(-kn))÷(r/k)]
PMT=5,500÷((1−(1+0.115÷12)^(
−12×5))÷(0.115÷12))
=120.95
So the answer is C
Hope it helps!
Answer: this is hard I hate math sorry
Step-by-step explanation:
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