Jerome's credit card has an APR of 18%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first
purchase. His credit card record for the last 7 months is shown in the table
below.
End of Previous New Payment Finance Principal New
month balance charges received charges paid balance
1
$0.00 $2200.00
$0.00
$0.00 $0.00 $2200.00
2 $2200.00 $0.00 $44.00 $33.00 $11.00 $2189.00
3 S2189.00 $0.00 $43.78 $32.84 $10.95 $2178.06
4 S2178.06 $0.00 $43.56 $32.67 $10.89 $2167.16
5 S2167.16 $0.00
$43.34 $32.51 $10.84 $2156.33
6 $2156 33 $0.00
$43.13 $32 34 $10.78 $2145.55
7 $2145.55 $0.00 $42.91 $32.18 $10.73 $2134.82
What is the total amount that Jerome has paid in interest over the 7 months?

$195.54 - ap3x

  5.   y=6; de=7; fg=8

  6.   x=4.2; jl=14.2; mn=13

step-by-step explanation:

when chords cross inside a circle, the product of the segment lengths is a constant.

5. dh×eh = fh×gh

  y = gh = dh×eh/fh = 3×4/2 . . . divide by the coefficient of gh

  y = 6

of course, the total chord length is the sum of the lengths of its segments.

  de = dh +eh = 3+4 = 7

  fg = fh +gh = 2+6 = 8

6. this problem works the same way as the previous one.

  x = lk = mk×nk/jk = 6×7/10 = 4.2

  jl = jk +lk = 10 +4.2 = 14.2

  mn = mk +nk = 6 +7 = 13

comment on chords and secants

you can think of the points h (problem 5) and k (problem 6) as points where the chords meet. a chord is part of a secant line, a line that intersects the circle in two points. one can also consider these points (h or k) to be the points where the respective secant lines meet.

then, the product that is a constant is the product of the distance from the meeting point (h or k) to one circle intersection with the distance from that meeting point to the other circle intersection. for problem 5, the constant is the product hd×he = hf×hg.

it turns out that this rule regarding the products of lengths to points of intersection is also true when the secants intersect outside the circle.

that is, you only need to remember one rule to work both kinds of problems.

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.

you have to put the graph on here with the question

step-by-step explanation: