If the input value is negative, the output value is always positive. We know this because the negative sign before the 4z will always reverse the negativity of the number that is plugged in.
Answer:
y = 10
Step-by-step explanation:
based on the question if y varries directly as x
mathematically
y ∝ x
also, y varries inversly as z can be mathematically expressed as
y ∝ 1/z
combining the two expressions
y ∝ x ∝ 1/z
i. e
y = kx/z..... where k is the constant of proportionality
make k the subject of formulae
yz = kx
Divide both sides by x
k =yz/x
when y=100 , x = 5 z =10
k = 100 × 10/5
k = 200
to find y when x = 3 and z = 60
<h3>from the equation connecting x,y,z</h3>
k =yz/x
200 =60y/3
cross multiply
60y = 200 × 3
60y = 600
divide both sides by 60
y = 10
Answer: $1000
Step-by-step explanation:
Annual demand (D) = 8000
Cost per order (S) = $1000
Cost per unit to print = $8 per book
Storage cost = $2 per book per year
The minimum total cost can be found thus :
√(2 × D × S) / storage cost * cost per unit
√(2 × 8000 × 1000) / (2 * 8)
√ (16,000,000 / 16
√ (1,000,000
= 1000
Hence , minimum total cost $1000
Step 1:
96 divided by $3 = $32
Step 2:
204 divided by $3= $68
Step 3:
$68-$32=36
He made $36 more this week