Answer:
1.25% and 16 times
Step-by-step explanation:
Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.
Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.
The conclusion is that the system does not have a solution. This is that the equations written do not have an intersection point, they represent parallel lines and, for any x value, one line is always over the other.
In terms of the landscapers charges, it means that the two landscapers have the same hourly rate (the slope of the lines) but different fees..
For example imagine one landscapers charges $0.5 the hour plus a fixed $5 fee
The correspondan equation would be: y = 0.5x + 5
If the other charges $0.5 the hour and a fixed $20 fee. the correspondant equation would be y = 0.5 x + 20
When you try to solve the system you get:
0.5x + 5 = 0.5x + 20
You can remove the 0.5x terms because they appear in the two sides, then
5 = 20.
Which means that the two costs will never be equal.
.
11) ∠Q+∠R+∠S=180°
let ∠Q=∠S=x
x+58+x=180
2x=122
x=61
since∠Q=∠S=x
∴∠Q=∠S=61°
12) M+N+P=180
x+2x-1+2x+1=180
5x=180
x=36
∴m=36
n=2x-1
=72-1
=71
p=2x+1
=72+1
=73
13) her answer is not reasonable because they are angles on a straight line and sum of angles on a straight line =180 and 86+86≠ 180.
Hope this was helpful.
Answer:
Step-by-step explanation:
LET
x be the number of regular work hours
overtime paid time and a half :(11.75+1/2(11.75))= 17.625 dollars
max time =10 hours
max overtime paid = 10*17.625=170.65 dollars per week
f(x) or y =11.75x
the graph is proportional because it passes through the origin( no work hours, no earning)
with no overtime the workers if the workers work 40 hours then :
y=11.75*40=470 dollars