Perform the operation: (2x4 + 5x3 + 8x +24) ÷ (x + 2)

53

Step-by-step explanation:

We can solve the bits in the operation like this...starting with

2x4 = 8

+

5x3 = 15

(we can skip over 8x for now and add the next number)

+

24

= 8+15+24

= 47

so now we have:

(47+8x) ÷ (x+2)

let's get rid of the numbers on the right side, so we subtract 2 from both sides. now we have

(45+8x) ÷ (x)

now we want our x on the left to move to the x on the right, so we'll divide everything by x

we get (45+8) ÷ x/x which = (53) ÷ x/x and we know x/x = 1, so we have

53 ÷ 1, and that = our answer, which is 52

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.

yes

step-by-step explanation: