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A new green technology can be installed in your home for a one-time installation cost of $10,000 and annual maintenance costs of $$650 per year. If the green technology is supposed to save you $1200 each year in energy bills, how many whole years will it take to recuperate your costs?

 Mar 29, 2020
 #1
avatar+171 
-1

650x+10,000=1200x

 

10,000=550x

x=10,000/550

x is a little over 18

 

So I think the answer is 19 because you need whole years

 Mar 29, 2020
edited by FlyEaglesFly  Mar 29, 2020
 #2
avatar+28021 
+1

Savings   1200   less maintenance of 650  = 550 savings each year

 

550 x   = 10000    solve for          x = years to break even   

 Mar 29, 2020
 #3
avatar+171 
-1

Is my answer correct because in the question it says whole years?

FlyEaglesFly  Mar 29, 2020
 #4
avatar+28021 
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18.18 yrs      I would just say 18 years.....     rounded .....   

ElectricPavlov  Mar 29, 2020
 #5
avatar+663 
0

The answer I believe is 19 because if you have 18 years, you would be a little UNDER the amount of money to recuperate the cost. You need to be a whole number of years over.

AnExtremelyLongName  Mar 29, 2020
 #6
avatar+2152 
0

Same here. 

 

For example, if you have 5 tiles that need 2 liters of paint each, you can't have 9.9999 liters, right? You have to use ceiling for this.

CalTheGreat  Mar 29, 2020

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