The lisbon’s new heat pump cost $4,500. they bought it to replace their old furnace and air conditioner which cost about $2,800 a year to run. the heat pump will save them approximately 39% a year. in how many years will the heat pump pay for itself? round to the nearest tenth.

4.1 years.  

Step-by-step explanation:

We have been given that The Lisbon’s new heat pump cost $4,500. They bought it to replace their old furnace and air  conditioner which cost about $2,800 a year to  run. The heat pump will save them approximately  39% a year.

Yearly cost was 2800 at first and the pump will save 39% of 2800. So annual saving with new heat pump will be:

Let x be the number of years in which heat pump will pay for itself, so saving in x years will be:

Now let us equate the savings by new heat pump with cost of heat pump to find the number of years (x).

Therefore, the heat pump will pay for itself in 4.1 years.

which expression can be used to convert 80 us dollars (usd) to australian dollars (aud)?

1 usd = 1.0343 aud

1 aud = 0.9668 usd

step-by-step explanation:

sorry just need the points

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer