A homeowner installs a solar heating system, which generates 20 savings at a rate of 300e t dollars per year, t years after installation. Find a formula for the total savings after t years. If the system cost 30000 dollars to install, when will the savings match the installation cost

"35.84 years" is the appropriate solution.

Step-by-step explanation:

The given values are:

Rate of savings generation,

System cost to install,

= $30000

Now,

The total savings will be:

⇒  

On substituting the values, we get

⇒        

⇒  

When,

Savings = 0

t = 0, then

⇒  

⇒  

The formula will be:

⇒  

On putting the values in the above formula, we get

⇒  

On taking log, we get

⇒  

is it 35

step-by-step explanation: