Apiling for a high-rise building is pushed by two bulldozers at exactly the same time. one bulldozer exerts a force of 1850 pounds in a westerly direction. the other bulldozer pushes the piling with a force of 3250 pounds in a northerly direction. what is the direction of the resulting force upon the piling, to the nearest degree?

330° (NWbN)  

Step-by-step explanation:

1. Calculate tan θ

tanθ = (3250/-1850) = -1.757

2. Calculate θ.

θ = tan⁻¹(-1.757) = -60.3°

3.Calculate the compass direction

Direction = 270 + 60.3 = 330°  

The direction of the force on the piling is 330° (NWbN)

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.