ar

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

شائع Word Problems >

You deposit 3000 in an account earning 4% interest compounded continuously. How much money will you have in the account in 5 years? round to the nearest hundredth.

الحلّ

Y o u d e p os i t 3000 in an a cco u n t e a r nin g 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 m u c h m o n ey w i ll yo u ha v e in t h e a cco u n t in 5 ye a rs ? ro u n d t o t h e n e a res t h u n d re d t h .

الحلّ

Amount : 3664.21

خطوات الحلّ

Translate the problem into an equation:

A = 3000 e^{0.04 \cdot 5}

3000 e^{0.04 \cdot 5} = 3664.20827 \dots

Round to the nearest hundredth:

3664.21

Amount : 3664.21

أمثلة شائعة

You want to have 100,000 when you retire in 10 years. If you can earn 5% interest compounded monthly, how much would you need to deposit now into the account to reach your retirement goal?Find the future value and interest earned if 8704.56 is invested for 9 years at 6% compounded semiannually.The circumference of a circle is 16𝜋 centimeters. What is the area?The quotient of two more than the square of a number and the number.Suppose that 5500 is placed in an account that pays 2% interest compounded each year. Assume that no withdrawals are made from the account. Find the amount in the account at the end of 1 year.