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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8th grade = 3x = 3(47) = 141 band members.
7th + 8th = 188
7th = x
8th = 3x
x + 3x = 188 ; x = 47 ; 47 + 3(47) = 47 + 141 = 188
4x = 188
4x / 4 = 188 / 4
x = 47 --> 7th grade
8th grade = 3x = 3(47) = 141
To check:
x + 3x = 188 ; x = 47 ;
47 + 3(47) = 188
47 + 141 = 188
188 = 188
The change in temperature is -28°F
So, Option D is correct.
Step-by-step explanation:
Temperature at day time = 72°F
Temperature at night = 44°F
What number represents the change in number?
Change in temperature = Temperature at night - Temperature at Day
Change in temperature = 44°F-75°F
Change in temperature = -28°F
The change in temperature is -28°F
So, Option D is correct.
Keywords: Solving Expressions
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ANSWER:
4th option: y = cosine (x + pi)
STEP-BY-STEP EXPLANATION:
For the function y = cosine (x), when x = 0, y = 1 and when x = , y = -1. The graph shows the opposite, when x = 0, y = -1 and when x = , y = 1, so we must add the same amount x = , for y to be positive 1.
So the equation of the graph would be:
The correct answer is then the 4th option y = cosine (x + pi)
Answer:
1/6
Step-by-step explanation:
