Step-by-step explanation:
x + y = 16 (*)
x^2 + y^2 = 146 (**)
(*) <=> x= 16-y
substitute x = 16 - y
(**) <=> (16-y)^2 + y^2 = 146
<=> y^2 - 2.16.y + 16^2 + y^2 = 146
<=> 2y^2 - 32y + 110 = 0
<=> y^2 - 16y + 55 = 0
<=> (y-11)(y-5) = 0
<=> y=11 or y= 5
For y = 11, we have x= 16-11=5
For y=5, we have x= 16-5=11
Answer: (x,y) = (11,5) ; (5,11)
Answer:
11.95 dollars
Step-by-step explanation:
Cost of one LED bulb = 6.95 dollars
Cost of changing one bulb = 3 dollars
Life of each bulb = 5 years.
In 10 years, only one time after 5 years the bulbs would have been changed
Hence cost of 100 lamps = 695 and
cost of changing once = 500
Total cost = 1195 dollars for 11 years
Divide this by 10 years to get average cost per year
Cost of 100 lamps per year = 1195/100 = 11.95 dollars
Answer:
The beginning balance of Sophie's account is 75
Step-by-step explanation:
Using the slope intercept form aka 
The slope of a line describes how steep a line is.
- We can see that the y-axis goes up by 25.
- 25, 50, 75, 100, 125, 150 etc
<u>$ is how much you have in your bank account.</u>
<em>We can see that Sophie starts off with 75 dollars.</em>
In the first week, we see that Sophie has 100 dollars. In the second week, we see that Sophie has 125.
<h3>how to find the slope</h3>
The first week (1, 100)
The second week (2,125)
<em></em>
Answer:
14%
Step-by-step explanation:
