Albert, becka, candis, and danny are traveling to different places on different types of transportation. they
either went by train, car, plane or ship. use the following clues to determine what type of transportation alber
used. you must show work to support your solution, for example, a table might you organize the clues.

a) candis paid more for her mode of transportation than those who traveled by ship or train.

b) danny did not travel by ship and paid more than becka.

c) becka did not travel by car, which was the least expensive way to travel.

  Albert traveled by car

Step-by-step explanation:

Candis, Danny, and Becka are all named as paying more than somebody else. The car is the least expensive way to travel so the one person that did not pay more than somebody must have gone by car.

Albert used a car for transportation.

Becka went by ship; Candis went by plane (most expensive); Danny went by train (more expensive than by ship).

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}

tip $2.90

total $17.40