The value of a car goes down by 10% each year. a car costs £40000 new. how much is it worth after:
ai) 1 year
ii) 2 years
b) after how many years is it worth less than its original price?
does the answer to part b increase, decrease, or stay the same when
ci) the cost of the new car is changed to £12000
ii) the rate of decrease is changed to 20%

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.