Answer:
The effective interest rate, rounded to the nearest tenth, is 0.1%.
Step-by-step explanation:
The banker's rule is the simple interest formula.
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) and t is the time, in years.
The effective interest rate is given by the following formula:
.
In this problem, we have that:
A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. We consider that the year has 360 days. This means that 
.
So
The effective interest rate is
The effective interest rate, rounded to the nearest tenth, is 0.1%.
a) The equation of line k is:
b) The equation of line j is:
The equation of a line, in <u>slope-intercept formula</u>, is given by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:
In which 
and 
are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:
- The tangent of 109 degrees is
- Thus, the slope of line m is found solving the following equation:
Thus:
It goes through point (-2,6), that is, when 
, and this is used to find b.
Thus. the equation of line k, in slope-intercept formula, is:
Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:
Then
Also goes through point (-2,6), thus:
The equation of line j is:
A similar problem is given at brainly.com/question/16302622
Answer:
10
Step-by-step explanation:
the answer is 10 you half to divide 40 and u get 4
If we look at g (x), the line hits the y-axis at -0.5. This means your y-intercept is -0.5
Hope this helps!! :)
