Agardener has a rose garden that measures 30 feet by 20 feet. he wants to put a uniform border of pine bark around the outside of the garden. let x be the width of the border in feet. write an expression for the total area of the border in terms of the width x.

4x² +100x

Step-by-step explanation:

The total area of the garden plus the pine bark border is given by:

The area of the garden alone, without the border, is:

Subtracting the total area by the area of the garden gives us the area of the border:

The total area of the border is described by 4x² +100x.

yes. we do proportions in probabilities.

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.