Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Hansen and Rodrigo have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Hansen earns a base wage of $14 per hour, as well as $2 for every subscription that he sells. Rodrigo gets $3 per subscription sold, in addition to a base wage of $7 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How many subscriptions would that be? How much would each one earn? If Hansen and Rodrigo sell ___subscriptions in an hour, they will each earn $__.

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}

6 cm

step-by-step explanation:

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

mark brainliest