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Popular Word Problems >

Dominic invested 8,600 in an account paying an interest rate of 2.2% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 9,600?

Solution

Do mini c 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 2.2% co m p o u n d e d d ai 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 9, 600 ?

Solution

Time : 5

Solution steps

Translate the problem into an equation:

9600 = 8600 (1 + \frac{0.022}{365})^{365 t}

Solve for

t, 9600 = 8600 (1 + \frac{0.022}{365})^{365 t} : t = 5

Time : 5

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