Answer:
Alice Gleason invested 16000 each for 9% and 11% rate respectively
Step-by-step explanation:
Let
x = portion invested for 9%
y = portion invested for 11%
Then
x + y =32000 eqn(1)
0.09x + 0.11y =3200 eqn(2)
solving eqn(1) and eqn(2) simultaneously
multiply eqn(2) by 100 gives and eqn(1) by 9
9x +11y =320000 eqn(3)
9x + 9y = 288000 eqn(4)
subtract eqn(4) from eqn(3) to obtain y
2y = 32000
y=16000
substitute y=16000 into eqn(1) to obtain x
x=32000-16000
x=16000
Start with the original equation (length + width= perimeter)
2l + 2w = P
we know here that the length (l) is 2 more than the width (w),
from this we can say [w= l+2]
put the new w back into the equation
2l + [l+2] = P
now the equation only has one variable, we can simplify it to
3l + 2 = P
we know (from the given information in the origial problem) that the perimeter is 64.
3l + 2 = 64
tada, not we solve (subtract 2 from both sides)
3l = 62
(divide by 3)
l = 20.67
the length is 20.67
the width is 18.67
:)
the y-intercept is -4 because when the line crosses the y-axis, it goes through -4
Work shown above! Answer is D hope this helps c:
<h3><em>11) x+61 + x+51 + 80 = 180 ( angle sum property )</em></h3><h3><em>2x + 192 = 180 </em></h3><h3><em>2x = 180 - 192 </em></h3><h3><em>2x = -12</em></h3><h3><em>x = -12/2</em></h3><h3><em>x = -6 </em></h3><h3><em>12) x+52 + 67+x + 75 = 180 ( angle sum property )</em></h3><h3><em>2x + 194 = 180 </em></h3><h3><em>2x = 180 - 194 </em></h3><h3><em>2x = -14</em></h3><h3><em>x = -14/2 </em></h3><h3><em>x = -7 </em></h3><h2><em>HOPE IT HELPS !!!</em></h2>
