A property owner lists his property for sale with a broker. During the negotiations, the owner told the broker that the owner wanted $138,000 for the property and anything above that amount the broker could keep as his commission. The listing with this type of provisions is known as the

a. gross listing
b. net listing
c. open listing
d. non-exclusive listing

b. Net listing.

Step-by-step explanation:

We have been given that a property owner lists his property for sale with a broker. During the negotiations, the owner told the broker that the owner wanted $138,000 for the property and anything above that amount the broker could keep as his commission.

We know that the type of listing determines the amount of money an agent will make from the sale.

Under net listing an agent can keep any amount over what the owner has agreed that he must net at the conclusion of the sale.  

Since broker can keep any amount over $138,000 as his commission, therefore, the listing with the given type of provisions is known as the "net listing".

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: