Every week Marcela deposits $45 in a bank account that she opened with an initial deposit of $250, so that after n weeks her balance (in dollars) is 250 + 45n. Her brother Ronnie withdraws $30 each week from his own bank account, which he opened with an initial deposit of $145, so that after n weeks his balance is 145 – 30n. Express the ratio of Marcela’s balance to Ronnie’s as a rational function, and simplify. a. fraction numerator 145 minus 30 n over denominator 250 plus 45 n end fraction b. fraction numerator 50 plus 9 n over denominator 29 minus 6 n end fraction c. fraction numerator 50 plus 3 n over denominator 29 minus 2 n end fraction d. None of these

10% of increase is the final answer! : )

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .