Respuesta :
Answer:
[tex]v = 400000(2^\wedge d)[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Value = \$400000[/tex]
[tex]Rate = doubles[/tex] per decade
Required
Determine the equation of the function
The information given shows that the function is exponential and will be calculated using:
[tex]v = ab^d[/tex]
Where:
a = Initial Value = 400000
b = rate = 2
d = number of decades
v = the current value of the home
So, we have:
[tex]v = 400000* 2^\wedge d[/tex]
[tex]v = 400000(2^\wedge d)[/tex]
The equation that represents the value of the home is v = $400,00(2^d).
What is the equation that represents the value of the home?
The home is appreciating in value. This means that the price of the house is increasing with the passage of time.
The formula that can be used to represent the appreciation is:
FV = P (1 + r)^n
- FV = Future value
- P = Present value
- R = interest rate
- N = number of years
v = $400,000(2^d)
To learn more about future value, please check: https://brainly.com/question/18760477