Sharon Bernstein rents an apartment for $1,110 a month. She has these annual expenses: electricity, $980; gas, $1,100; phone/cable/Internet, $2,100; insurance, $450; and lost interest $52. What are the annual expenses?

Annual expenses INCLUDING cost of annual rent: = $17,597

Annual expenses EXCLUDING cost of annual rent: = $4,277

Step-by-step explanation:

Annual expenses EXCLUDING cost of annual rent:

Electricity = $980

Gas = $1,100 Phone/cable/Internet = $2,100

Insurance = $45

Lost interest = $52

Total = $980 + $1,100 + $2,100 + $45 + $52

= $4,277

Annual expenses EXCLUDING cost of annual rent: = $4,277

Annual expenses INCLUDING cost of annual rent:

Rent = $1,110 per month

Annual rent = $1,110 per month × 12

= $13,320

Electricity = $980

Gas = $1,100 Phone/cable/Internet = $2,100

Insurance = $45

Lost interest = $52

Total = $13,320 + $980 + $1,100 + $2,100 + $45 + $52

= $17,597

Annual expenses INCLUDING cost of annual rent: = $17,597

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)