Question

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

Answer 1

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

Answer 2

Option B.
`y=200000(1.008)^(12t)`

Explanation:

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

`y=200000(1.10)^(t)`

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

`y=200000(1+(10)/(1200))^(12t)=200000(1.008)^(12t)`

Option B is the correct option.