Isaac purchased a house for $179,300,00. every year, isaac makes improvements so that the value of the house goes up by 4%.
which of the following equations can be used to determine the number of years after purchase, that the value of isaac's house will
be equal to 5197.230.002

The number of years in which house value goes up is 145 years .

Step-by-step explanation:

Given as :

The initial purchased value of the house = p = $179,300,00

The value of house goes up every years at the rate = r = 4%

Let The number of years in which house value goes up = t  years

The value of the house after t years = $A = $5197,230,002

Now, According to question

The value of the house after t years = The initial purchased value of the house ×

I.e A = $p ×

Or,$5197,230,002 = $17930000 ×

Or, =

Or, 289.86 =

Now, taking Log both side

So, 289.86 =

or, 2.462 = t ×  

I.e t = 144.56 ≈ 145

So, Number of years = t = 145 years

Hence The number of years in which house value goes up is 145 years . Answer

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