contestada

A 200,000 house appreciates in value 10% a year. An equation used to represent this is y = 200000*1.10t. Write an expression to represent the monthly appreciation. A) y = 200000(1.008)t
B) y = 200000(1.008)12t
C) y = 200000(3.138)t
D) y = 200000(3.138)12t

Respuesta :

B) y = 200000(1.008)12t
.......

Answer:

Option B. [tex]y=200000(1.008)^{12t}[/tex]

Step-by-step explanation:

Equation used to represent the appreciation in the cost of a house of $200000 with 10% a year is

[tex]y=200000(1.10)^{t}[/tex]

We have to write an expression to represent monthly appreciation.

In monthly appreciation rate of appreciation will become r = (10/12)%

And the equation will be

[tex]y=200000(1+\frac{10}{1200})^{12t}=200000(1.008)^{12t}[/tex]

Option B is the correct option.