Answer:
Step-by-step explanation:
First find the slope of the given line.
y - 3 = 1/3(x+2)
y - 3 = (1/3)x + 2/3
y = (1/3)x + 2/3 + 3
y = (1/3)x + 11/3
Compare it with
y = mx + c
We get m = 1/3
As the parallel lines have same slope, the slope of the second line will also be m= 1/3
y = mx + c
y = (1/3)x + c
As this line goes through the point (1,7), substitute it in the equation:
7 = (1/3)1 + c
7 = 1/3 + c
c = 7 - 1/3
c = 21-1/3
c = 20/3
The equation of the line is found by substituting m = 1/3 and c = 20/3 into the general equation
y = mx + c
y = (1/3)x + 20/3
Graph of the equation is shown
Answer:
$ 100
Step-by-step explanation:
Annual budget is $ 1200
Monthly budget would be $ 1200/12= $ 100
9514 1404 393
Answer:
- $10,000 at 5%
- $22,000 at 6%
Step-by-step explanation:
Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...
0.06x +0.05(32000 -x) = 1820
0.01x +1600 = 1820 . . . . simplify
0.01x = 220 . . . . . . . . . . subtract 1600
x = 22,000 . . . . . . . . . . . multiply by 100
32000 -x = 10,000
Phyllis invested $22,000 at 6% and $10,000 at 5%.
Answer:
false
Step-by-step explanation:
0.909 is less than not greater than
Answer:
11+2i=9
Step-by-step explanation: