Since he is investing the same amount monthly, we have to apply annuity formula. And it is planned for the future. So that, we'll apply future value annuity formula. The formula is
![FV=A[ \frac{(1+ \frac{r}{s})^{Ns} -1 }{r} ]](https://tex.z-dn.net/?f=FV%3DA%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bs%7D%29%5E%7BNs%7D%20-1%20%7D%7Br%7D%20%5D)
, where A is the monthly payment, r is the percentage rate, s is 12 (monthly compound) and N is the time, which is 30. Plugging the numbers into the formula, we write that
![FV=155[ \frac{(1+ \frac{0.037}{12} )^{12*30} - 1 }{0.037} ]](https://tex.z-dn.net/?f=FV%3D155%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.037%7D%7B12%7D%20%29%5E%7B12%2A30%7D%20-%201%20%7D%7B0.037%7D%20%20%5D)
= $8485.450857
You have to multiply 750*100 and then divide 75,000 with 15, which gives you 5,000
Is that even a question...?
Answer: <u>110 feet per second</u>
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:
So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:
Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
