The gades foundation and hbm corporation are eager to donate generously to their favorite charities. the gades foundation donated $ 2 5 0 $250 in the first month, and each month afterward their cumulative donation total increases by $ 1 0 0 $100. the hbm corporation donated $ 6 4 $64 in the first month, and each month afterward their cumulative donation total increases by 7 5 % 75%. they started making donations at the same time, and they both make their monthly donations at the beginning of each month. what is the first month in which hbm corporation's cumulative donation total exceeds the gades foundations' cumulative total?

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

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