Answer: $12
Step-by-step explanation:
The formula to calculate the compound interest , if the interest is compounded semi-annually :-
, where P = Principal amount
r = rate of interest ( in decimal)
t= Time ( in years)
Given : P= $1500
r= 1.6 % =0.016
t= 6 months = year [∵ 1 year = 12 months]
Then, the interest earned by Robert in 6 months will be :-
Hence, Robert earned $12 as interest .
Answer:
The equation for the perpendicular bisector of the line segment will be:
Step-by-step explanation:
Given the endpoints of the line segments
Determining the slope between (5,-4) and (-9, -8)
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 2/7
Thus, the slope of the the new perpendicular line = – 1/m = (-1)/(2/7)= -7/2
Next, determining the mid-point between (5,-4) and (-9, -8)
Refine
We know that the point-slope form of equation of line is
where
- m is the slope of the line
substituting the slope of the perpendicular line -7/2 and the point (-2, -6)
Subtract 6 from both sides
Therefore, the equation for the perpendicular bisector of the line segment will be:
<span><span><span>If 16 + 4k = 0 --> 1 solution (or 2 equal solutions, x = 2, 2)
k = -4
--> </span></span></span>
For now I don't know the answer to this problem of yours.