You currently have 9,200 in an account that has an interest rate of 3% per year compounded continuously. In how many years will your investment be worth 20,240? Round your answer to 1 decimal place.

Решение

Y o u c u rre n tl y ha v e 9, 200 in an a cco u n t t ha t ha s an in t eres t r a t e o f 3% p er ye a r co m p o u n d e d co n t in u o u s l y . I n h o w man y ye a rs w i ll yo u r in v es t m e n t b e w or t h 20, 240 ? R o u n d yo u r an s w er t o 1 d ec ima l pl a ce .

Time : 26.3

Шаги решения

Translate the problem into an equation:

20240 = 9200 e^{0.03 t}

Решите для

t, 20240 = 9200 e^{0.03 t} : t = 26.28191 \dots

Time : 26.28191 \dots

Округлить

26.28191 \dots

до ближайшего 1 decimal places:

26.3

Time : 26.3