Answer:
about 4312
Step-by-step explanation:
You want the total cost for n CDs to be 3.50n.
The manufacturer will charge you 9700+1.25n, so you want these to be equal:
3.50n = 9700 +1.25n
2.25n = 9700 . . . . . . . . subtract 1.25n
n = 9700/2.25 ≈ 4311.111...
Producing 4312 CDs will make the cost per CD slightly less than $3.50.
____
Producing 4311 CDs will make the cost per CD be about $3.500058. Producing 4312 CDs will bring it down to $3.499536.
Answer:
Length is 14
Width is 6
Step-by-step explanation:
Length = 2W + 2
Width = W
Perimeter is twice the length + twice the width
P = 40 = 2(2W+2) + 2W first simplify
40 = 4W + 4 + 2W now combine terms
40 = 6W + 4 and subtract 4 from both sides
36 = 6W
Width W = 6
Length = 2W + 2 = 12 + 2 = 14
Answer:
It is unlikely the point is in region A.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
Step-by-step explanation:
Hope it helps!
Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
Step-by-step explanation below
