Answer: x= 7/10
Y= 21/5
Step-by-step explanation:
Answer:
Takeru bought 72 eggs and baked 18 soufflés .
Step-by-step explanation:
Let
e = number of eggs Takeru bought.
s = number of soufflés Takeru bought.
Then we know that Takeru bought 4 times as many eggs as he baked soufflés, therefore:

And since for every soufflés Takeru bakes he uses 3 eggs, and after backing he has 18 eggs left, we have:
<em>This says that from
eggs there are 18 eggs left after Tkeru used three eggs for each soufflé.</em>
Now we have two equations:


We put the value of e from equation (1) into equation (2) and solve for s and get:


Thus
Number of eggs Takeru bought = 72.
Number of soufflés Takeru bought = 18.
The probability of profiting $5.2 million is 5% = 0.05
The probability of profiting $0.9 million is 50% = 0.5
The probability of breaking even, meaning no profit gain, is 45% = 0.45
Expected profit values of the CD is given by
(0.05×5.2) + (0.5×0.9) + (0.45×0) = 0.26+0.45+0 = 0.71 million
D is the answer for this question:))
Answer:

Step-by-step explanation:
GIVEN: A farmer has
of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is
.
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be
and
perimeter of rectangular pen 


area of rectangular pen 

putting value of 


to maximize 



but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen 
width of rectangular pen 
Maximum area of rectangular pen 
Hence maximum area of rectangular pen is
and dimensions are 