Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:
d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
Answer:
Option A,$ 1,832.91 is correct
Step-by-step explanation:
The monthly payment can be computed using the below pmt formula i excel shown below:
=pmt(rate,nper,-pv,fv)
rate is the monthly rate on the mortgage which is 17.5%/12=0.014583333
nper is the number of months of payment i.e 30*12=360
pv is the amount of the loan which is $125,000
fv is the total amount of repayment which is unknown
=pmt(0.014583333
,360,-125000,0)=$ 1,832.91
The correct option is A,$ 1,832.91 which is the amount of money they need to pay back on the mortgage for 360 months
Answer:
V = 12π
Step-by-step explanation:
Given radius of cone, r = 3 and y = 5
by Pythagorean theorem (or by recognizing that this is a standard 3-4-5 right triangle), we can determine that height of cone, x = 4 in
volume of cone is given by :
V= (1/3) πr²x
= (1/3) x π x 3² x 4
V = 12π
Answer:
yeah im making A new sidewalk into hell
Step-by-step explanation:
Answer:
Step-by-step explanation:
slope-intercept formula is y = mx+b
3y + 2x - 4 = 1
3y + 2x = 5
3y = -2x +5
y = (-2/3)x + 5/3
:)
