Answer:
12.5%
Step-by-step explanation:
% increase = (new value - initial value)/initial value x 100
= (90-80)/80 x 100
=10/80 x 100
= 12.5%
Answer:
0.80 cents
Step-by-step explanation:
I divided 9.60 by 12.
Answer:
$100
Step-by-step explanation:
8x= 160
160/8 = 20
x=20
5x = 100
Answer:
P + M = 30
700P + 200M = 15000
Number of laser printers = 18
Number of color monitors = 12
Step-by-step explanation:
Let P = number of laser printers
Let M = number of color monitors
Given total number of boxes = 30
⇒ P + M = 30
Given:
- $700 = cost of laser printer
- $200 = cost of color monitor
- $15000 = total cost of order
⇒ 700P + 200M = 15000
Rewrite P + M = 30 to make P the subject:
⇒ P = 30 - M
Substitute into 700P + 200M = 15000 and solve for M:
⇒ 700(30 - M) + 200M = 15000
⇒ 21000 - 700M + 200M = 15000
⇒ 500M = 6000
⇒ M = 12
Substitute found value for M into P = 30 - M and solve for P:
⇒ P = 30 - 12 = 18
Solve for y...
2xy=1
y=1/(2x)
So this is a function as each x value (with the exception of x=0) produces just one value for y. However, technically there is a vertical asymptote about the vertical line x=0. So there is a discontinuity as x=0.
I say this technically, because most would say that this function is true even with the discontinuity (as they do with say y=tana), but technically the discontinuity makes this not a function because another requirement of a function is for their to be an actual output value for each input value. In this case division by zero when x=0 is undefined and cannot be included as part of a function. So if you are picky about being absolute, 2xy=1 is really two functions. One with a domain of (-oo,0) and another with a domain of (0,+oo).
