James want to buy a vidoe game system that cost $310.00 his parents say james must raise 45% of the money himself. how much money must james raise a $124.00 b $135.00 c $139.50 d $170.50

James must attain $139.5 for his game system.

Step-by-step explanation:

When dealing with percentages, keep in mind that a full percentile is 100% which equivalent to 1 whole. So to find your answer, start with moving the decimal in the percentage to the left by 2. Meaning that 45% will be translated to .45. Multiply $310 by .45 and your answer will come out to be $139.50.

1) Slide decimal 2 places left in percentage (45% = .45)

2) Multiply new decimal by total (310 x .45)

3) All done! ($139.50)

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}

c is the answer

step-by-step explanation: