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Popular Word Problems >

claire invested 2400 in an account paying an interest rate of 3.5% 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 4490

Solution

c l ai re in v es t e d 2400 in an a cco u n t p a y in g an in t eres t r a t e o f 3.5% 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 4490

Solution

Time : 17.92

Solution steps

Translate the problem into an equation:

4490 = 2400 (1 + \frac{0.035}{12})^{12 t}

Solve for

t, 4490 = 2400 (1 + \frac{0.035}{12})^{12 t} : t = 17.92

Time : 17.92

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