Monique wants to invest 4000 in a savings account that pays 3.4% annual interest compounded continuously. How long will it take her to have 4500 in her account? Round your answer to the nearest tenth of a year.

解

M o ni q u e w an t s t o in v es t 4000 in a s a v in g s a cco u n t t ha t p a ys 3.4% ann u a l in t eres t co m p o u n d e d co n t in u o u s l y . Ho w l o n g w i ll i t t ak e h er t o ha v e 4500 in h er a cco u n t ? R o u n d yo u r an s w er t o t h e n e a res t t e n t h o f a ye a r .

Time : 3.5

解答ステップ

Translate the problem into an equation:

4500 = 4000 e^{0.034 t}

t

を解く

4500 = 4000 e^{0.034 t} : t = 3.46420 \dots

Time : 3.46420 \dots

3.46420 \dots

を最も近い十分の一に四捨五入する:

3.5

Time : 3.5