The distance between ny and boston is 306 km. how long is it on a map (in cm) drawn at a scale of 1: 1,200,000?

25.5 centimeters on the map.

Step-by-step explanation:

Given the actual distance between New York and Boston is 306 km = 306,000 meters = 30,600,000 centimeters.

The map (in centimeters) is drawn at a scale of 1 : 1,200,000.

It means 1 cm of map is actual distance of 1,200,000 in real.

So we can multiply the scale factor with actual distance to find the length on map.

Mathematically, length on map = scale factor * actual distance.

Length on map = (1 / 1,200,000) * 30,600,000

Length on map = 30,600,000 / 1,200,000 = 306 / 12 = 25.5 cm.

Hence, It is 25.5 cm on the map.

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.

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%