A plane flying horizontally at an altitude of 1 mi and a speed of 1000 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.
A. 500√ 3 mi/h
B. 370 mi/h
C. 175/ √ 5 mi/h
D. 250√ 5 mi/h

Step-by-step explanation:

The trigonometrical equation of the distance between the radar station and the plane is given by the Pythagorean Theorem:

Where:

- Horizontal distance of the plane with respect to the radar station, in miles.

- Vertical distance of the plane with respect to the radar station, in miles.

The rate at which the distance from the plane to the station is increasing is found by deriving the previous expression regarding time and replacing all known expressions:

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb