Answer:
1176
Step-by-step explanation:
First, calculate the volume as if it was a full rectangle.
Volume formula:
length x width x height
16 x 6 x 21 = 2016 (this is the volume if this was a full rectangle)
Now to calculate the size of the missing part we do the same thing
10 x 6 x 14 = 840
To work out the volume of this shape, we need to subtract the volume of the missing part from the volume of the rectangle
2016 - 840 = 1176
I hope this helped :-)
Answer:
The answer is $2041.67 approx.
Step-by-step explanation:
Loretta’s income last year was $81,300.
Amount made in salary = $56,800
So, additional passive income is = dollars
Given that Loretta earned the same amount of passive income each month for the entire year.
So, her per month passive earning was = dollars
Therefore, the answer is $2041.67 approx.
Answer:
Step-by-step explanation:
you can find where the first derivative is 0 to find the critical points
g'(x) = ( x^4 -5x^2 +4)' = 4x³-10x
g'(x) =0, make y =0 to find find where g'(x) is 0
4x³-10x =0 , factor 2x
2x(2x²-5)= 0 , each factor must be 0
2x= 0, so x= 0
2x²-5 =0, so x = ±√5/2
we now have 3 critical points -√5/2, 0, and √5/2
make intervals (-∞, -√5/2), (-√5/2, 0) , (0, √5/2) and (√5/2, +∞)
pick a point to test on each interval: -2, -1, 1 and 2 for example, and
calculate g'(x) = 4x³-10x at those points
for x= -2 we have 4(-2)³-10(-2) = -12 , negative number, decrease
for x= -1 we have 4(-1)³-10(-1) =6, positive number, increase
for x= 1 we have 4(1)³-10(1) = -6, negative number, decrease
for x= 2 we have 4(2)³-10(2) = 12, positive number, increase
we went from a decrease to an increase on intervals (-∞, -√5/2), (-√5/2, 0) so x= - √5/2 ≈ -1.58 is a minimum
we went from a decrease to an increase on intervals (0, √5/2), (√5/2, +∞) so
x= √5/2 ≈ 1.58 is a minimum as well
