Answer:
c = 11
Step-by-step explanation:
2c+8+6c-6 = 90 ( the angle measure of the two angles)
8c+2 = 90
8c = 88
c = 11
Answer:
She paid back $192 in interest
Step-by-step explanation:
A = P(1+r)^n
P = $1,200
r = 10.5% = 0.105
n = 18 months = 18/12 = 1.5 years
A = 1,200(1+0.105)^1.5 = 1,200(1.105)^1.5 = 1,200×1.16 = 1,392
Amount = $1,392
Principal = $1,200
Interest = amount - principal = $1,392 - $1,200 = $192
Answer:
the answer to this is "21"
Answer: 87.5%
Step-by-step explanation:
From the question, we are informed that a rancher uses 1400 acres of his property for cattle grazing amd that the area of the property is 1600 acres. To get the percentage used for cattle grazing, we divide 1400 by 1600 and then multiply the result by 100%. Mathematically, this will be expressed as:
= 1400/1600 × 100
= 0.875 × 100%
= 87.5%
The percent that is used for cattle grazing is 87.5%.
Call x the number of days the Alabama facility operares and y the number of days the Texas facility operates
Number of barrels produced:
Facility Alabama Texas total
HIgh grade production: 500x 600y 15,000
Medium grade production 200x 400y 8,400
Equations
500x + 600y = 15,000
200x + 400y = 8400
Divide each equation by 100
5x + 6y = 150
2x + 4y = 84
Multiply first by 2 and second by 5 =>
10x + 12y = 300
10x + 20y = 420
Subtract the first from the second:
20y - 12y = 420 - 300
8y = 120
y = 120/8
y = 15
Replace y value on any of the equations:
2x + 4y = 84 => 2x = 84 - 8y =
2x = 84 - 4(15)
2x = 84 - 60
2x = 24
x = 24/x
x = 12
Answer: the Alabama facility must operate 12 days and the Texas facility must operate 15 days.