Answer: $20,790
Step-by-step explanation:
The sales revenue increased by 5% from 2018 to 2019.
The sales revenue that was increased from in 2018 is $19,800 which means that the 2019 sales revenue is 5% more than $19,800.
To find the sales revenue in 2019, do the following:
= 19,800 + (19,800 * 5%)
= 19,800 + 990
= $20,790
Answer:
4 apples adding 4 and adding 4 again = the amount you have
Step-by-step explanation:
draw 3 groups of 4 apples
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
Answer:
17
Step-by-step explanation:
Answer:
Ste4
×
y
=
4
×
(
1
4
x
−
5
)
4
y
=
(
4
×
1
4
x
)
−
(
4
×
5
)
4
y
=
(
4
×
1
4
x
)
−
20
4
y
=
1
x
−
20
Next step is to move the
x
term to the left side of the equation by subtracting
1
x
from each side of the equation:
−
1
x
+
4
y
=
−
1
x
+
1
x
−
20
−
1
x
+
4
y
=
−
0
−
20
−
1
x
+
4
y
=
−
20
Now, to make the coefficient of
x
positive we need to multiply both sides of the equation by
−
1
−
1
×
(
−
1
x
+
4
y
)
=
−
1
×
−
20
(
−
1
×
−
1
x
)
+
(
(
−
1
×
4
y
)
=
20
1
x
−
4
y
=
20
or
1
x
−
4
y
=
20p-by-step explanation:
