After the third month of a 12 month loan,

the numerator is: {(n + ) + (n + ) + (n + )} =

, and

the denominator is: {(n) + (n + 1) + ... + (n + )} =

Therefore, the fraction is numerator/denominator (to the nearest tenth) =

The Rule of 78 tells us to write a sequence using the numerical equivalents for the months of the year. In set notation we would write {1, 2, 3, , 12}. We could also use algebraic notation and write {n, n + 1, ..., n + 11} where n = 1. Clearly this sequence has a beginning and an end so it is finite.

Next, the Rule of 78 tells us to write a series. A series is a summation of quantities based upon a sequence. In this instance if we add the all the individual terms specified by {n, n + 1, ..., n + 11}, the sum is 78. Thus, the name is the rule of 78.

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870

p = 6s

step-by-step explanation:

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.