Gavin invested 350 in an account paying an interest rate of 4.7% 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 890?

الحلّ

G a v in in v es t e d 350 in an a cco u n t p a y in g an in t eres t r a t e o f 4.7% 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 890 ?

Time : 19.86

خطوات الحلّ

Translate the problem into an equation:

890 = 350 e^{0.047 t}

890 = 350 e^{0.047 t}, t

حلّ لـ:

t = 19.86

Time : 19.86