<span>1. The r</span>atio of milk cartons taken to total milk cartons,
100 - 27 = 73 were taken
73/100 is the ratio of milk cartons taken to total milk cartons
2. The ratio of milk cartons remaining to milk cartons taken
27 / 73 is the ratio of milk cartons remaining to milk cartons taken
3x + y = 3
7x + 2y = 1
First isolate one of the variables (x or y) in one of the equations.
Isolate "y" in the first equation(because it is the easiest to isolate) and substitute it into the second equation.
3x + y = 3 Subtract 3x on both sides
3x - 3x + y = 3 - 3x
y = 3 - 3x
7x + 2y = 1
7x + 2(3 - 3x) = 1 [since y = 3 - 3x, you can substitute (3-3x) for "y"]
Multiply/distribute 2 into (3 - 3x)
7x + (3(2) - 3x(2)) = 1
7x + 6 - 6x = 1
x + 6 = 1 Subtract 6 on both sides
x = -5
Now that you know "x", substitute it into one of the equations (I will do both)
3x + y = 3
3(-5) + y = 3 [since x = -5, you can plug in -5 for "x"]
-15 + y = 3 Add 15 on both sides
y = 18
7x + 2y = 1
7(-5) + 2y = 1
-35 + 2y = 1 Add 35 on both sides
2y = 36 Divide 2 on both sides
y = 18
x = -5, y = 18 or (-5, 18)
We know that we have to m<span>ake a down payment of $1500 and finance the rest of $20000 at a 1.9% interest rate, making equal monthly payments for 5 years. Our first step to solve this problem would be to convert 5 years into months.
1 year = 12 months
12 * 5 = 60 months
Therefore, in 5 years there are 60 months.
Now lets solve this problem step by step.
Subtract the down payment from $20,000
</span>$20000-$1500=$18500
Multiply the remaining number by the interest rate.
$18500 *1.9 = $35150
Divide 35150 by number of months in 5 years (60)
$35150 / 60 = $585
<span>Therefore, you have to pay $585 per month. </span>
I-1 is the polynomials because I is the linear term and 1 is the constant