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An investment account was opened with an initial $890 value of. 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? t ^10 = 890
Correct answer: C (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice C is correct. It’s given that t represents the number of years since the 10 account was opened. Therefore, 1t0 represents the number of -year periods since the account was opened. Since the value of the account doubles during 10 each of these -year periods, the value of the account can be found by multiplying the initial value by 1t0 factors of 2. This is equivalent to 21t0 . It’s given $890 that the initial value of the account is . Therefore, the value of the account M^th, in dollars, t years after the account was opened can be represented by =890 2 1t0 M^th ^ h . Choice A is incorrect. This equation represents the value of an account if the 10 value of the account halves, not doubles, every years. Choice B is incorrect. This equation represents the value of an account if the value of the account 90% 10 decreases by , not doubles, every 2, not , years. Choice D is incorrect. This equation represents the value of an account if the value of the account increases 10 10 by a factor of , not doubles, every 2, not , years.
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