Answer:
Step-by-step explanation:
Let "a" represent the population.
is the initial population.
is the population at year n.
Since the population decreases 10% each year, that means that each year, the population is 90% of the previous year.
The initial population is 14,000.
Each year fater than, the population is 90% of the population of the previous year, or 0.9 time the population of the previous year.
This is a quadratic equation:
y = a x² + b x + c, a > 0 ( opening upward )
The zeroes are: ( - 1 , 0 ) and ( 4, 0 ).
y = a ( x - x 1 ) ( x - x 2 )
y = a ( x + 1 ) ( x - 4 )
y = a ( x² - 4 x + x - 4 )
y = a ( x² - 3 x - 4 )
Angle A + Angle B = 180 degrees
180 = (6x -48) + (4x +38)
180 = 10x -10
190 = 10x
x = 19
Angle A = 6x - 48
Angle A = 6 * 19 - 48
Angle A = 115 -48
Angle A = 67 degrees
Angle B = 4x + 38
Angle B = 4*19 + 38
Angle B = 76 + 38
Angle B = 114
