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Beliebt Word Problems >

Benjamin invested 39,000 in an account paying an interest rate of 2.1% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach 54,200?

Lösung

B e njamin in v es t e d 39, 000 in an a cco u n t p a y in g an in t eres t r a t e o f 2.1% 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 t e n t h o f a 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 54, 200 ?

Lösung

Time : 15.67

Schritte zur Lösung

Translate the problem into an equation:

54200 = 39000 (1 + \frac{0.021}{365})^{365 t}

Löse nach

t, 54200 = 39000 (1 + \frac{0.021}{365})^{365 t} : t = 15.67

Time : 15.67

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