Answer:
uyfgdfh dhbbvgdfuhb fvdfhyubvdc bldiuhvn dflhudfnv bgtrgbhudfhuvthgb bh ffgb
Step-by-step explanation:
Answer:
7/11 chance to pull a green or purple
Answer:
4, 2, 1, 2, 4
Step-by-step explanation:
-2 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-2).
f(-2) = (1/2)^-2 = 1^-2/2^-2 = 2^2/1^2 = 4/1 = 4
-1 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-1).
f(-1) = (1/2)^-1 = 1^-1/2^-1 = 2^1/1^1 = 2/1 = 2
0 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(0).
f(0) = (1/2)^0 = 1^0/2^0 = 1/1 = 1
1 > 0, so use the second equation, f(x) = 2^x, to find f(1).
f(1) = 2^1 = 2
2 > 0, so use the second equation, f(x) = 2^x, to find f(2).
f(2) = 2^2 = 4
Answer:
- x = 4
- length = 19 ft
- width = 11 ft
Step-by-step explanation:
The area is given by the product of length and width.
A = LW
209 = (4x +3)(4x -5)
209 = 16x^2 -8x -15
224 = 16x^2 -8x
You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".
14 = x^2 -(1/2)x
14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient
(x -0.25)^2 = 14.0625
x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25
Only positive values of x are useful here, so we have
x = 4
Then the dimensions are ...
length = 4x +3 = 4(4) +3 = 19 . . . feet
width = 4x -5 = 16 -5 = 11 . . . feet
Answer:
10.5 %
<u>Skills needed: Financial Math Essentials</u>
Step-by-step explanation:
1) First, before getting started, let's assume the price of the product is
. This variable will be used a lot throughout the problem (
).
2) Marking a price above means increasing the price in order to make money off of the purchased product. When raising something by
percent, the new price would be
.
---> In this case, the price increased by
percent.
This means that it would be: 
New price is: 
3) The shopkeeper is then offering a
percent discount off of this marked price. When offering a
percent discount price, the new price (with discount), expressed algebraically is: 
---> the expression above simplifies to 
In this case,
, 
---> 
This means that
, with discount, has been raised
.
10.5 % is the profit percent
(The profit percent being the final marked up price - purchased price)