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
Answer:
140yd2
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The sum to n terms of a geometric sequence is
= 
where a is the first term and r the common ratio
Here r = 5 and a has to be found, thus
= 
, so
= 15624
Multiply both sides by 4
15624a = 62496 ( divide both sides by 15624
a = 4
<h3>
Answer: n - 10 which is choice C</h3>
Let's use an example. If Nathaniel earned $15 on Tuesday, and earned $10 less on Wednesday, then 15-10 = 5 dollars is the amount he earns on Wednesday.
Now let's say he earned $27 on Tuesday, and still earned $10 less the next day, meaning that he earns 27-10 = 17
Whatever he earns on Tuesday, subtract off 10. That's the rule to follow for this problem.
(amount earned on Tuesday) - 10 = amount earned on Wednesday
If n reprsesent the placeholder for "amount earned on Tuesday", then we can rewrite that equation as
amount earned on Wednesday = n - 10
In short, whatever 'n' is, subtract 10 off it. In the examples above, I used n = 15 and n = 27.
note: the order of subtraction matters. The expression n-10 is not the same as 10 - n. If you subtract in the wrong order you may get a negative value (eg: 10 - 17 = -7), but he can't earn a negative amount of dollars.
