Savannah's discovered an error in her checkbook register and recalculated her balance. She determined that she was overdrawn. Her balance in her checking account was –$638.57. Savannah had saved two of her paychecks, each in the amount of $298.40, for a special occasion. If Savannah deposited both checks in her checking account, what would be Savannah’s new balance? F -$340.17 F -$340.17 G -$41.77 G -$41.77 H $1235.37 H $1235.37 J -$936.97

41.77

Step-by-step explanation:

Multiply 298.40 by 2 to get 596.8 then you you add -638.57 and 596.8 to get -41.77

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

x = 3 ± √(5+y)