Answer:
$911.25
Step-by-step explanation:
For 1 day the man works for 6 hours.
Then for 6 days the man will work for (6×6)hours = 36 hours
If the man makes $22.5 an hour, then for 36 hours, the man will earn ($22.5×36) = $810
Given, that the man gets a 12.5% raise, the we would have to apply the formula, where the 12.5% should be added to $810.
New Value/Old Value = 100 + rate/100
New Value/$810 = 112.5/100
By solving this equation, we get $911.25. So the man will earn $911.25 if he works for 6days a week.
Answer:
see explanation
Step-by-step explanation:
given that r varies jointly with x and y then the equation relating them is
r = kxy ← k is the constant of variation
To find k use the condition r = 15 when x = 3 and y = 4
k = = = 1.25
r = 1.25xy ← equation of variation
When x = 16 and y = 1.25, then
r = 1.25 × 16 × 1.25 = 25
A) chart below!
0 = -210
5 = -155
10 = -100
15 = -45
20 = 10
25 = 65
b) The negative value of p means that she is losing money rather than gaining a profit.
c) Her profit would be $340
Answer:
a) Since the function is given to be one - one so the inverse of the function exist. Now f(x) maps x to y so the inverse of f(x) maps y to x
To find inverse, first interchange the roles of x and y :
Now, solve for y :
b) To find coordinates of f(x) :
First take y = 0 then take x = 0
⇒ x-coordinates : (-125,0) and y-coordinates : (0,5)
To find coordinates of inverse function of x :
First take y = 0 then take x = 0
⇒ x - coordinates : (5,0) and y - coordinates : (0,-125)
c) f(x) is defined for every real number.
⇒ Domain : -∞ < x < ∞
and Range : -∞ < f(x) < ∞
And inverse function of x is also defined for every real number :
⇒ Domain : -∞ < x < ∞