Which of the following is equivalent to the expression below? ( 6 x − 4 y + 9 ) + ( − 3 x − 2 y )

3x - 6y + 9

Step-by-step explanation:

Given

(6x - 4y + 9) + (- 3x - 2y)

Since both parenthesis are distributed by 1, just remove them, that is

= 6x - 4y + 9 - 3x - 2y  ← collect like terms

= (6x - 3x) + (- 4y - 2y) + 9

= 3x - 6y + 9

Option B is correct, i.e. 5.00%

Step-by-step explanation:

Given that Jessica’s bank is offering her a loan with a stated rate of 4.90% interest and the interest is compounded every two months.

It means compounding periods, n = 6.

Suppose Principal loan amount = P = $100.

Future value, FV = P(1 + r/n)^(nt)

FV = 100*(1 + 4.9/600)^6 = 105.0011377 ≈ $105.

For a $100 loan, She pay interest = $5.

Hence, the effective interest rate = 5%.