Answer:
Let's solve for x.
2x−y=−5
Step 1: Add y to both sides.
2x−y+y=−5+y
2x=y−5
Step 2: Divide both sides by 2.
2x/2=y-5/2
Answer:
x=1/2y+-5/2
The amount that the bank loaned out at 7.9% is $1,574.00
How do represent the amounts lent at different rates?
On the assumption that x amount was loaned at 7.9% and that the remaining amount, (8,200-x) was loan out at 7.4%, we can determine the interest charged on each loan as the loan multiplied by the interest rate
interest on 7.9% loan=7.9%*x=0.079x
interest on 7.4% loan=7.4%*(8200-x)
interest on 7.4% loan=606.80-0.074x
total interest=0.079x+606.80-0.074x
total interest=0.005x+606.80
total interest on loans=614.67
614.67=0.005x+606.80
614.67-606.80=0.005x
7.87=0.005x
x=7.87/0.005
x=amount loaned at 7.9%=$1,574.00
y=$8200-$1574
y=$6,626.00
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Answer:
The correct answer would be A) (4, 49.6)
Step-by-step explanation:
In order to find the equation, we first have to start with the base form of direct variation.
y = kx
Now we input the k value.
y = 12.4x
Now that we have this, we can try the ordered pairs and look for which satisfies the equation.
y = 12.4x
49.4 = 12.4(4)
49.4 = 49.4
Since this is the true statement, this is the ordered pair that works.