Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.
1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then
![x+y=250,000.](https://tex.z-dn.net/?f=x%2By%3D250%2C000.)
2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then
is annual interest income in Fund A.
Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then
is annual interest income in Fund B.
Since Fund A and Fund B produce an annual interest income of $8,000, then
![0.012x+0.062y=8,000.](https://tex.z-dn.net/?f=0.012x%2B0.062y%3D8%2C000.)
3. Solve the system of equations:
![\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%2By%3D250%2C000%5C%5C0.012x%2B0.062y%3D8%2C000.%5Cend%7Barray%7D%5Cright.)
Express x from first equation
and substitute it into the second equation
![0.012(250,000-y)+0.062y=8,000.](https://tex.z-dn.net/?f=0.012%28250%2C000-y%29%2B0.062y%3D8%2C000.)
Multiply this equation by 1000:
![12(250,000-y)+62y=8000,000,\\ \\3000,000-12y+62y=8000,000,\\ \\62y-12y=8000,000-3000,000,\\ \\50y=5000,000,\\ \\y=100,000](https://tex.z-dn.net/?f=12%28250%2C000-y%29%2B62y%3D8000%2C000%2C%5C%5C%20%5C%5C3000%2C000-12y%2B62y%3D8000%2C000%2C%5C%5C%20%5C%5C62y-12y%3D8000%2C000-3000%2C000%2C%5C%5C%20%5C%5C50y%3D5000%2C000%2C%5C%5C%20%5C%5Cy%3D100%2C000)
Then
![x=250,000-100,000=150,000.](https://tex.z-dn.net/?f=x%3D250%2C000-100%2C000%3D150%2C000.)
Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.
Answer:
Step-by-step explanation:
Ok any more details or is that the question?
We know that
the coordinates of point B ( -5,0)
the translation has the following rule
(x,y)--------> (x+5, y-2)
so
(-5,0)-----> (-5+5,0-2)-----> (0,-2)
the answer is
<span>(0, –2) </span>
Answer:
y = 1/4x -8
Step-by-step explanation:
First find the slope of the line
x-4y =3
Subtract x from each side
x-4y -x = -x+3
-4y = -x+3
Divide each side by -4
-4y/-4 = -x/-4 +3/-4
y = 1/4 x -3/4
This is in the form y= mx+b where the slope is m and the y intercept is b
The slope is 1/4
We want the same slope
y = 1/4x +b
we know the y intercept is -8
y = 1/4x -8