Let
be the amount of the 30% alloy and
the amount of the 60% alloy the metalworker will use. However much is used, the final alloy will have a mass of
![x+y=100](https://tex.z-dn.net/?f=x%2By%3D100)
kilograms. For each kg of the 30% alloy used, 0.3 kg is copper; similary, each kg of the 60% alloy contributes 0.6 kg, so that
![0.3x+0.6y=0.54(x+y)=54](https://tex.z-dn.net/?f=0.3x%2B0.6y%3D0.54%28x%2By%29%3D54)
Now,
![x+y=100\implies y=100-x](https://tex.z-dn.net/?f=x%2By%3D100%5Cimplies%20y%3D100-x)
![\implies0.3x+0.6(100-x)=54](https://tex.z-dn.net/?f=%5Cimplies0.3x%2B0.6%28100-x%29%3D54)
![\implies60-0.3x=54](https://tex.z-dn.net/?f=%5Cimplies60-0.3x%3D54)
![\implies0.3x=6](https://tex.z-dn.net/?f=%5Cimplies0.3x%3D6)
![\implies x=20](https://tex.z-dn.net/?f=%5Cimplies%20x%3D20)
![\implies y=100-20=80](https://tex.z-dn.net/?f=%5Cimplies%20y%3D100-20%3D80)
<h2>$4,160.625</h2>
Step-by-step explanation:
<h3>principle (p) = $15,850</h3><h3>rate (r) = 3.75%</h3><h3>time (t) = 7 years</h3><h3>simple interest = (p × r × t) ÷ 100</h3><h3> = (15850 × 3.75 × 7) ÷ 100</h3><h3> = 416,062.5 ÷ 100</h3><h3> = 4,160.625</h3>
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Answer:
Samantha needs to pay $5 for the GST.
Step-by-step explanation:
In order to determine the amount of GST that Samantha needs to pay, you can use the rule of three to fnd the 5% given than 99.75 represents 100%:
$99.75→100%
x ← 5%
x=(99.75*5)/100= 5
According to this, the answer is that Samantha needs to pay $5 for the GST.
It is 43 I used calculator