PLEASE HELP Meryl buys new baseball equipment for $2000. The purchase made is with a credit card that has a 19% APR. Meryl makes a $150 payment monthly. How many months will it take Meryl to pay off the balance?

It will take Meryl 15.09 months to pay off the balance.

Step-by-step explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new baseball equipment = $2000

P = Monthly payment = $150

r = Monthly interest rate = annual percentage rate (APR) / 12 = 19% / 12 = 0.19 / 12 = 0.0158333333333333

n = number of months it will take Meryl to pay off the balance = ?

Substitute the values into equation (1) and solve for n, we have:

2000 = 150 * ((1 - (1 / (1 + 0.0158333333333333))^n) / 0.0158333333333333)

2000 / 150 = (1 - (1 / 1.0158333333333333)^n) / 0.0158333333333333

13.3333333333333 = (1 - 0.984413453650536^n) / 0.0158333333333333

13.3333333333333 * 0.0158333333333333 = 1 - 0.984413453650536^n

0.21111111111111 = 1 - 0.984413453650536^n

0.984413453650536^n = 1 - 0.21111111111111

0.984413453650536^n = 0.78888888888889

loglinearize both sides, we have:

nlog0.984413453650536 = log0.78888888888889

n = log0.78888888888889 / log0.984413453650536

n = -0.102984160720249 / -0.00682245957075587

n = 15.0948729929724

Rounding to 2 decimal places, we have:

n = 15.09

Therefore, it will take Meryl 15.09 months to pay off the balance.

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.

what statement? is there an image?