Yesterday at 1: 00 p. m., maria’s train was 42 miles north of gull’s beach, traveling north at an average speed of 90 mph. at the same time on the adjacent track, elena’s train was 6 miles north of gull’s beach, traveling north at an average speed of 101 mph. to the nearest hundredth of an hour, after how much time will the trains meet up?

After 3.27 hours trains will meet up.

Step-by-step explanation:

When two trains are moving on parallel tracks in the same direction then their relative speed will be = Difference of their speeds

And when two trains travel on parallel tracks in the opposite directions then their relative speed is calculated as = Sum of their speeds.

Here the trains are moving in the same directions then their

Relative speed = 101 - 90 = 11 miles per hour

Distance between them = 42 - 6 = 36 miles

So the time to cover up this distance by the trains will be

Speed = distance/ time Or time = distance/speed

time = 36/11 = 3.27 hours

Therefore answer is 3.27 hours

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%