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The value of a house last year was 250,000 and it increases 35% each year. How much will it cost this year?

1 Answer

7 votes

Answer:

$337,500

Explanation:

Formula for simple interest

A = p (1 + rt)

where A is final amount, (the answer/the price of the house this year)

where p is 'initial principle balance', (the starting price, i.e. $250,000)

and finally where 'r' is the annual interest rate ie. 35% (turn into decimal i.e. 0.35) , and 't' is time (in years i.e. 1 because from last year to this year, one year has passed, e.g. 2022-2021 = 1)

therefore 'rt' = 0.35*1

= 0.35

We are trying to find 'A' the unknown value

Sub in all the values with the knowledge above so that:

A = 250,000 (1 + 0.35)

expand

A = 250,000 + 87500

87500 is the interest

therefore the value of the house this year is $337,500

A = $337,500

at least I believe this is the correct answer, feel free to cross check if I'm wrong

User Redimp
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