Let s be the number of shorts and t be the number of T-shirts. s shorts cost $12s and t T-shirts cost $5t, then you have to find min and max value for the function f(s,t)=12s+5t.

The shaded domain (see image) is defined from the system of unequalities. The green lines are the graphs of function f(x,y) and it intersects domain in first point (0,5) (the minimum point) and in last point (20,0) (the maximum point). So,

Step-by-step explanation:

3 0

3 years ago

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Suppose you borrow 13,000 for four years at 7% toward the purchase of a car.

dangina [55]

Amount borrowed, P = 13000
Interest, i = 0.07/12 per month
number of periods (months), n = 4*12 = 48

Monthly payment,
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{13000(.07/12*(1+.07/12)^{48}}{(1+.07/12)^{48}-1}$
=311.30 (to the nearest cent)

5 0

3 years ago

What is the slope of the line whose equation is 2x+3y = -12?

luda_lava [24]

Answer:

slope = - $\frac{2}{3}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = - 12 ( subtract 2x from both sides )

3y = - 2x - 12 ( divide all terms by 3 )

y = - $\frac{2}{3}$ x - 4 ← in slope- intercept form

with slope m = - $\frac{2}{3}$

6 0

2 years ago

1000^m/100^n=10^zexpress z in terms of m and n

Hitman42 [59]

$\dfrac{1000^m}{100^n}=10^z\\\\\dfrac{10^{3m}}{10^{2n}}=10^z\\\\10^{3m-2n}=10^z\\\\\boxed{z=3m-2n}$

3 0

3 years ago