Answer:
M = (-3,1)
Step-by-step explanation:
We need to find the midpoint M of the line segment joining the points
A = (-5,7) and B = (-1, -5)
The mid point of the line segment joining the points (x₁,y₁) and (x₂,y₂) is given by :

Hence, the required point is (-3,1).
The point of observation is 2500 m away from the foot of the building.
The angle of elevation is 4°.
We need to find the height 'h' of the building.
With respect to 4°,
2500 is the adjacent side.
'h' is the opposite side.
The trigonometric ratio associating opposite & adjacent is tan.
We have


Cross multiplying we get
h = 2500 tan4°
h= 174.82 m
Option B) is the right answer.
Answer:
It will take 55 years for the account value to reach 38200 dollars
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
.
In this problem, we ahve that:

So
First we find how much we have to earn in interest.
.


How much time to earn this interest?




Rounding up
It will take 55 years for the account value to reach 38200 dollars