Mr. Tank has an old gas water heater that cost him $685/year to operate. He purchased a new one for $1875 that will save him 33.87% annually and energy cost to run in how many years will the new water heater pay for itself? Round to the nearest whole year

8 years

Step-by-step explanation:

Given

Old water heater cost per year

New Heater cost and save 33.87%

So New heater cost Annually

New heater cost

Saving per year

So it will pay for itself after

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: