Noah invested 8,600 in an account paying an interest rate of 2.4% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 10,900?

Solution

N o ah in v es t e d 8, 600 in an a cco u n t p a y in g an in t eres t r a t e o f 2.4% co m p o u n d e d m o n t h 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 10, 900 ?

Time : 9.88

Solution steps

Translate the problem into an equation:

10900 = 8600 (1 + \frac{0.024}{12})^{12 t}

Solve for

t, 10900 = 8600 (1 + \frac{0.024}{12})^{12 t} : t = 9.88

Time : 9.88