ar

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

شائع Word Problems >

derek invested 1500 into an account that pays 4% interest compounded continuously. How long must the money be left into the account for it to grow to 2400?

الحلّ

d ere k in v es t e d 1500 in t o an a cco u n t t ha t p a ys 4% 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 m u s t t h e m o n ey b e l e f t in t o t h e a cco u n t f or i t t o g ro w t o 2400 ?

الحلّ

Time : 11.75

خطوات الحلّ

Translate the problem into an equation:

2400 = 1500 e^{0.04 t}

2400 = 1500 e^{0.04 t}, t

حلّ لـ:

t = 11.75

Time : 11.75

أمثلة شائعة

Austin invested 60,000 in an account paying an interest rate of 4.7% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 11 years?Emily is 2 years older than her sister Shelly. Eight years ago she was twice as old as Shelly. What are their present ages?The sum of two numbers is 5 and their difference is 9. What are the two numbers?We went to lunch and spent 18.75. We wanted to tip our waitress 18%. What is our total bill going to cost?Abdoulaye is going to invest in an account paying an interest rate of 5.1% compounded quarterly. How much would Abdoulaye need to invest, to the nearest cent, for the value of the account to reach 138,000 in 14 years?