Answer:
Principal = $1,000
Rate of interest = 14% = 0.14
Time = 3 years
A = Amount or future value
P = Principal
r = rate of interest in decimals
t = time
Substitute the values in the formula
Future Value is $1481.544
Compound interest = Amount - Principal = $1481.544- $1000 = $481.544
Formula of simple interest :
Substitute the values :
So, Simple interest = $420
Compound interest - Simple interest
= $481.544- $420
= $61.544
So, Compound Interest is $61.544 more than simple interest.
You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line
When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.
If for exampla you have two lines, the first one being:
And the second one, that is perpedicular to the one above:
The slope of the second one is the negative inverse of the first one:
The slope of the given line y=-7/4+4 is m=-7/4
So the slope of the perpendicular line has to ve the inverse negative of -7/4
Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:
replace with the coordinates of the point and the slope and calculate:
Subtract 7 to both sides of the equation to write it in slope-intercept form:
Now you can graph both lines
the solution is in the above picture.
