Carly bought a new house for $125,000. the value of the house appreciates approximately 3.5% each year. what will be the value of the house after 10 years?

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To solve this problem, we'll need to use an exponential equation. The exponential equation we'll be using here is y = ab^x. Where y is the result or amount, a is the starting/initial value, b is the rate of change or growth/decay rate, and x is the time.

In this problem, a = 125000, b = 1.035, and x = 10.

First, we'll need to set up a simple equation without plugging in the time. This equation would be y = 125000(1.035)^x.

Second, we'll plug in 10 for x, because the time is 10 years. The equation after plugging in 10 for x would be y = 125000(1.035)^10.

Lastly, all we have to do is plug this equation into a calculator. The answer is y = $176324.85.

Hope this helps!! :)