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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#SPJ1
"The diameter is 10, therefore radius = 5. If arc length = 10, then angle = 10/5 = 2 radians 2 radians = 2/2pi = 1/pi of a complete circle.
Area of circle = pi * r^2 = 25pi.
Area of sector = angle * area of circle = 1/pi * 25pi = 25"
Total area = 12 x 24.6 = 295.2
Area of circle = 3.14 x 3.6² = 40.69
Area of square = 4.2 x 4.2 = 17.64
Square and circle = 40.69 + 17.64 = 58.33
Probability = 58.33/295.2 = 0.1976
Rounded answer = 0.20
<h3>
Answer: B) 6 right and 9 down</h3>
We start with x-5. We want to add on some h value such that x-5+h = x+1, which solves to h = 6. So we must add on 6 to (x-5) to get to (x+1). This shifts the graph 6 units to the right.
As for the vertical shifting, we start with +7 and we end up at -2. The vertical distance is 7-(-2) = 9 units, so we must shift 9 units down.
What are the choices ? ? It's about 69 miles or 111 km.
