Answer:
$28.77
Step-by-step explanation:
If the subtotal is $27.14, and the tax to add is 6%, the total would be:
$27.14*(1+0.06)=$28.77
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So

The manager can select a team in 61425 ways.
Answer:576
Step-by-step explanation:
Volume is all the sides multiplied together. 12 x 6 x 8=576
Work done on cart
:
W
=
6000
J
Kinetic energy of cart
:
E
K
=
6000
J
Explanation:
Work done
W
is defined as the product of force
F
and distance
s
:
⇒
W
=
F
⋅
s
Let's substitute the values of
F
and
s
into the equation:
⇒
W
=
300
N
⋅
20
m
⇒
W
=
300
kg
⋅
m s
−
2
⋅
20
m
⇒
W
=
300
⋅
20
kg
⋅
m
2
s
−
2
⇒
W
=
6000
kg
⋅
m
2
s
−
2
∴
W
=
6000
J
The gain in kinetic energy
E
K
is the same amount as the work done moving the cart:
∴
E
K
=
6000
Answer:
A = -10
Step-by-step explanation:
x^2 + 10x + 24 = 0
To find the roots, we need to factor the equation.
What 2 numbers multiply to 24 and add to 10
6*4 = 24
6+4 = 10
(x+6) (x+4)=0
Using the zero product property
x+6 = 0 x+4 = 0
x = -6 x = -4
We want the sum when the roots are added
-6+ -4 = -10