Aproperty sells for $620,000 two years after it was purchased. if the annual appreciation rate was 4%, how much did the original buyer pay for the property (round to the nearest $1,000)?

$574,000

Step-by-step explanation:

To solve this problem you just have to first state how much in percentage of the first place does the final price represents, if the problem tells you that the house is sold 2 years after it was purchased, and it appreciated at a rate of 4% annually, this means that it appreciated 8%, so the total price is actually 108% of the original price, now that we now this we just do a simple rule of three:

If you clear the rule of three you get:

Since they ask you to round it to the nearest thousand it´d be $574,000

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752