Answer:
It’s y = 3
Step-by-step explanation:
Solve for y by simplifying both sides of the equation, then isolating the variable.
= 9n + 63
generate the first few terms using the recursive equation
f(1) = 72
f(2) = 72 + 9 = 81
f(3) = 81 + 9 = 90
f(4) = 90 + 9 = 99
the sequence is 72, 81, 90, 99, .....
This is an arithmetic sequence whose n th term formula is
= 
+ (n - 1 )d
where is the first term and d the common difference
d = 99 - 90 = 90 - 81 = 81 - 72 = 9 and = 72
= 72 + 9(n - 1) = 72 + 9n - 9 = 9n + 63 ← explicit formula
The slope can be found by using the slope formula.
Slope = y2 - y1 / x2 - x1
First, we need two points on the line.
(-1, 0) and (0, 1)
x1 = -1 and y1 = 0
x2 = 0 and y2 = 1
Let's plug these values into our slope formula.
(1 - 0) / (0 - (-1)) = 1 / 1 = 1
The slope is 1
Let the actual value of the stool be x.
So if the carpenter sells the stool x rupees he neither loses, now wins anything.
67.50 is the value x - 10% of x, that is:
67.50=x-0.1x
67.50=0.9x
x=67.50/0.9=75 (rupees) is the actual value of the stool.
Selling the stool for 82.50 rupees, the carpenter clearly would make a profit, say of y% of that actual value, that is y%*75.
So using the same method:
82.50=75+y%*75
y%*75=82.50-75=7.5
we can make the calculations, but clearly 7.5 is 10% of 75
Answer: 10% gain.
The clock is showing 7:55 AM
Since it’s 12 minutes behind then the time would be 7:43 AM
