3points
dawn's credit card has an apr of 15%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. her credit card record for the last 7 months is shown in the table
below.
end of
month
previous
balance
50.00
51700.00
$1687 25
$1674 60
$1662 04
$1649.57
51637 20
new
charges
$1700 00
50.00
50 00
50.00
50.00
payment
received
$0.00
$34 00
533 75
533 49
$3324
$32.99
$32.74
finance
charges
50.00
521 25
$21 09
$20.93
$20.78
520 62
$20.46
principal
paid
$0.00
$12.75
$1265
$12.56
$1247
$12.37
$1228
new
balance
$1700.00
$1687 25
51674 60
s1662 04
$1649 57
s1637 20
s1624 92
50.00
50.00
how much of the initial purchase has dawn paid off over the 7 months?

1000 need more points

Step-by-step explanation:

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)