Answer:
The largest area enclosed is A = xy = 6 feet 
6 feet = 36 
Step-by-step explanation:
i) The perimeter of the area is 2(x + y) =24 ∴ x + y = 12 ∴ y = 12 - x
ii) The area of rectangle enclosed A = xy ⇒ A = x ( 12 - x) = 12x - 
iii) differentiating both sides of the equation in ii) we get
⇒ x = 6 feet
iv) Differentiating both sides of equation in iii) we get 
= -2
Therefore the area enclosed is maximum as the double derivative is negative
v) therefore for largest area enclosed x = 6 feet and y = 12 - 6 = 6 feet
vi) therefore the largest area enclosed is
A = xy = 6 feet 6 feet = 36
Answer:
B
Step-by-step explanation:
The investment grows by 12 percent every year. Therefore, if you multiply the 1500 by 0.12 you should get the value of the amount of extra money made in one year. If you substitute 2 into t you get the value increased by year 2 and so on.
Answer:
3
b
11
6
Step-by-step explanation:
3
b
1
2
⋅
b
4
3
Move
b
4
3
.
3
(
b
4
3
b
1
2
)
Use the power rule
a
m
a
n
=
a
m
+
n
to combine exponents.
3
b
4
3
+
1
2
To write
4
3
as a fraction with a common denominator, multiply by
2
2
.
3
b
4
3
⋅
2
2
+
12
To write 1
2
as a fraction with a common denominator, multiply by
3
3
.
3
b4
3
⋅
2
2
+
1
2
⋅
3
3
Write each expression with a common denominator of
6
, by multiplying each by an appropriate factor of
1
.
Tap for more steps...
3
b
4
⋅
2
6
+3
6
Combine the numerators over the common denominator.
3
b
4
⋅
2
+
3
6
Simplify the numerator.
Answer:
D
Step-by-step explanation:
When you are raising something to a fractional power, you are raising it to the power of the numerator and finding the root denoted by the denominator. The explanation above is kinda confusing, so here is an example:
x^(3/5)
This would be written as:
![\sqrt[5]{x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E3%7D)
Now for the actual problem. Since the numerator is 4, we start by raising x to the 4th power, x^4.
Because the denominator is 5, we find the 5th root:
![\sqrt[5]{x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E4%7D)
This matches none of the answers shown, so the answer is none of the above or D.
