Joseph invested 6,700 in an account paying an interest rate of 5.2% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 13,950?

Solution

J ose p h in v es t e d 6, 700 in an a cco u n t p a y in g an in t eres t r a t e o f 5.2% co m p o u n d e d q u a r t er 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 13, 950 ?

Time : 14.19

Solution steps

Translate the problem into an equation:

13950 = 6700 (1 + \frac{0.052}{4})^{4 t}

Solve for

t, 13950 = 6700 (1 + \frac{0.052}{4})^{4 t} : t = 14.19

Time : 14.19