1. The price of gas has increased over time due to inflation and other factors. Assume that the equation y = 1.26(1.10)x represents the price of gas for the years after 2000. Using this equation, fill in the following T-table for the years 2000, 2002, 2004, 2006, 2008, and 2010. Use X = 0, 2, 4, 6, 8, and 10 to represent these years (the number of years after 2000

# Years after 2000 X
Price of Gas $ Y

2. What is the y-intercept?

3. Graph the points on the graph provided and draw a smooth curve to represent the graph of the equation

4. The price of movie tickets has also increased over time with inflation. The equation y = 0.50(1.06)x can be used to represent the price of movie tickets since 1950. Substitute the number of years that will have passed since 1950 into the equation to find the predicted price of movie tickets in 2030. Using this equation, the predicted price of movie tickets in 2030 is . Round your answer to the nearest cent.

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}

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

pls mark as brainliest

i think the amount would be $140.62