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פּוֹפּוּלָרִי Word Problems >

Olivia invested 2,400 in an account paying an interest rate of 4.6% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach 3,550?

פתרון

Ol i v ia in v es t e d 2, 400 in an a cco u n t p a y in g an in t eres t r a t e o f 4.6% co m p o u n d e d co n t in u o u s l y . A ss u min g n o d e p os i t s or w i t h d r a w a l s a re ma d e, h o w l o n g w o u l d i t t ak e, t o t h e n e a res t t e n t h o f a ye a r, f or t h e v a l u e o f t h e a cco u n t t o re a c h 3, 550 ?

פתרון

Time : 8.51

צעדי פתרון

Translate the problem into an equation:

3550 = 2400 e^{0.046 t}

3550 = 2400 e^{0.046 t}, t

פתור בשביל:

t = 8.51

Time : 8.51

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