An investment account was opened with an initial value of $ 890 . The value of the account doubled every

Question

An investment account was opened with an initial value of $ 890 . The value of the account doubled every 10 years. Which equation represents the value of the account M t , in dollars, t years after the account was opened?

Accepted Answer

Choice C is correct. It's given that t represents the number of years since the account was opened. Therefore, t 10 represents the number of 10 -year periods since the account was opened. Since the value of the account doubles during each of these 10 -year periods, the value of the account can be found by multiplying the initial value by t 10 factors of 2 . This is equivalent to 2 t 10 . It's given that the initial value of the account is $ 890 . Therefore, the value of the account M t , in dollars, t years after the account was opened can be represented by M t = 890 2 t 10 . Choice A is incorrect. This equation represents the value of an account if the value of the account halves, not doubles, every 10 years. Choice B is incorrect. This equation represents the value of an account if the value of the account decreases by 90 % , not doubles, every 2 , not 10 , years. Choice D is incorrect. This equation represents the value of an account if the value of the account increases by a factor of 10 , not doubles, every 2 , not 10 , years.

Question an-inv