Answer:
3. [1, −2]
2. [−3, 3]
1. [−7, 10]
Step-by-step explanation:
3.
{7⁄2x - ½y = 9⁄2
{3x - y = 5
-6⁄7[7⁄2x - ½y = 9⁄2]
{−3x + 3⁄7y = −3 6⁄7 >> New Equation
{3x - y = 5
_________________
-4⁄7y = 1 1⁄7
-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x
__________________________________________________________
2.
{−3x + 9y = 36
{4x + 12y = 24
¾[4x + 12y = 24]
{−3x + 9y = 36
{3x + 9y = 18
______________
18y = 54
___ ___
18 18
y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x
__________________________________________________________
1.
{4x − y = −38
{x + y = 3
_____________
5x = -35
___ ____
5 5
x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y
I am joyous to assist you anytime.
Answer:
Money left from her earning after expenses is $ 7160.86
Step-by-step explanation:
Money earned by Monica every month = $ 8322.65
Money spend on rent = $ 830.98
Money spend on food = $ 210.36
Money spend on gas every month = $ 120.45
Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )
= 8322.65 - 1161.79
= $ 7160.86
Answer:
(a)His monthly Interest Rate=0.8%
(b)Annual Interest Rate = 9.6%
(c)
Step-by-step explanation:
For a Principal P invested at a yearly rate r, compounded m times in t years
Amount at Compound Interest=
Comparing with Jerry's equation y=388 (1.008)
(a)His monthly Interest Rate= 0.008=0.8%
(b)Annual Interest Rate= Monthly Interest Rate X 12 =0.8 X 12 = 9.6%
(c)If I invest $500 at the same rate of return,
Total Money after m months
=
Answer:
I think it would be 85 degrees.
Um, we see that the slice created the triangle, and the formula to find the area of the triangle:
1/2×B×h where B represent Base and h represent height.
In this case, Base=5 cm
Height=11 cm
A=1/2×11×5
A=5.5×5
A=27.5 square cm. As a result, the area of the resulting two-dimensional cross section is 27.5 square cm. Hope it help!