Answer:
Pasos para resolver una ecuación lineal
3x−2/4−2x+5/3=1−x/6
Multiplique ambos lados de la ecuación por 12, el mínimo común denominador de 4,3,6.
36x−3×2−24x+20=12−2x
Multiplica −3 y 2 para obtener −6.
36x−6−24x+20=12−2x
Combina 36x y −24x para obtener 12x.
12x−6+20=12−2x
Suma −6 y 20 para obtener 14.
12x+14=12−2x
Agrega 2x a ambos lados.
12x+14+2x=12
Combina 12x y 2x para obtener 14x.
14x+14=12
Resta 14 en los dos lados.
14x=12−14
Resta 14 de 12 para obtener −2.
14x=−2
Divide los dos lados por 14.
x=
14
−2
Reduzca la fracción
14
−2
a su mínima expresión extrayendo y anulando 2.
x=−
7
1
Step-by-step explanation:
Answer:
66 is the answer to your question
Current amount in account
P=36948.61
Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n
Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11
We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000
We can solve this by trial and error.
The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000. It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.
So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.
So it takes 15.00 years to reach the goal of 280000 years.
The intersection with the y axis occurs when x = 0.
We have then:
For f (x):
For g (x):
We can observe in the graph that when x = 0, the value of the function cuts to the y axis in y = -3
For h (x):
Therefore, the graph with the intersection with the largest y axis is h (x)
Answer:
the greatest y-intercept is for:
C. h(x)
Answer:
g is 37
Step-by-step explanation:
supplementary means two angles that add up to 180°
180-143=37
