Consider a rectangle of length l inches and width w inches. find a formula for the perimeter of the rectangle. use upper case letters. p = l+l+w+w (b) if the length and width of the rectangle are changing with respect to time, find dp dt . use dl dt and dw dt and not l ' and w ' . dp dt = 2( dl dt)+2( dw dt) (c) suppose the length is increasing at 2 inches per hour and the width is decreasing at 3 inches per hour. how fast is the perimeter of the rectangle changing when the length is 40 inches and the width is 104 inches?

the mean and mad

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.