Deb borrows $3190 at 2.9% simple interest per month. When Deb pays the loan back 5 years later, what is the total amount that Deb ends up repaying?

$3,282.51

Step-by-step explanation:

you take 3,190 times 2.9% and get $92.51, add that to 3,190 and get $3,282.51! hope this helped!

$3652. 55

Step-by-step explanation:

A = P(1 + rt)

P = 3190

r = 0.029 (percent in decimal form)

t = 5 years

A = 3190(1 + (0.029)(5))

A = 3190(1 + .145)

A = 3190(1.145)

A = $3652. 55

  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.

the answer is true.

step-by-step explanation: