326,173 views
14 votes
14 votes
Every year,the value of an antique vase appreciates by 20% of it's value in the previous year if the value of case was 180000 in 2012, find it's value in 2010.

guys I am giving you 100 POINTS!!!no cheating andd I need answer that is 125000 and send me with solution ​

User Vassi
by
2.6k points

1 Answer

11 votes
11 votes

Every year, the value of an antique vase appreciates by 20% of its value in the previous year. If the value of the vase was $180 000 in 2012, its value in 2010 was $125000

Step-by-step explanation:

Given the appreciation rate r, the initial value I, the final value V, and the period of appreciation n, the formula for appreciation is given by:

V = I(1 + r)ⁿ

In our case, we need to work out the value of n.

We do this as follows:

n =2012 - 2010 = 2 years

Substituting the values we have:

180000 = I(1.20)²

180000 = 1.44I

I = 180000/1.44

= 125000

So, in 2010, the value of the vase was $125000

User Stagermane
by
2.8k points