Step-by-step explanation:
The answer is C
We can easily eliminate B and D since Ms. Macdonald isn't starting with 3 rabbits.
We can also eliminate choice A, because 5 to the 3rd power isn't 15.
5 to the 3rd power is 125, therefore the choice is C
52-40 is 12 hours of overtime
Answer:
12 weeks.
Step-by-step explanation:
Keiths dog will need to lose 15 pounds to get down to 75 pounds. If he loses 1.25 pounds per week, it will take 12 weeks to get down to 75 pounds. To figure this out, you would use the equation:
90 - 75 = 15
15 / 1.25 = 12
That is how you would get 12 weeks.
Answer:
90 degrees
Step-by-step explanation:
Sum of the angles in a triangle = 180°
Opposite angles are equal
For two parallel lines and a transversal,
corresponding angles are equal, and
alternate angles are equal.
45+45=90.
180-90=90
Plus, you can see that the angle forms a perfect 90 degree angle.
Answer:
There are 5 apples in the best bundle Charlie can afford
Step-by-step explanation:
If the utility function is u(xa, xb) , where xa represent the quantity of apples and xb is the quantity of bananas then we want to choose the quantity of bananas and apples that maximises the utility of Charlie for the same budget restriction ( get the most benefit for the same money).
The budget restriction is
$4* xa + $2* xb = $40
then
u(xa, xb) =xa*xb
4*xa + 2*xb = 40 → xb = (40 - 4*xa)/2 = 20 - 2*xa
replacing in the utility function
u(xa, xb) =xa* (20 - 2*xa) = 20*xa - 2*xa²
the maximum of this function is obtained when the derivative of the utility function with respect to xa is 0 . Thus
du/dxa = 20 - 4*xa = 0 → xa = 20/4 = 5
then for
xa=5 apples
xb=20 - 2*xa = 20 - 2*5 = 10 bananas
Charlie maximises his utility . Therefore there are 5 apples in the best bundle Charlie can afford
