Robert invested 7,600 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 8,600?

Solução

R o b er t in v es t e d 7, 600 in an a cco u n t p a y in g an in t eres t r a t e o f 1.9% 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 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 8, 600 ?

Time : 6.51

Passos da solução

Translate the problem into an equation:

8600 = 7600 e^{0.019 t}

Resolver para

t, 8600 = 7600 e^{0.019 t} : t = 6.51

Time : 6.51