ar

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

شائع Word Problems >

You want to have 300,000 when you retire in 20 years. If you can earn 8% interest compounded continuously, how much would you need to deposit now into the account to reach your retirement goal?

الحلّ

Y o u w an t t o ha v e 300, 000 w h e n yo u re t i re in 20 ye a rs . I f yo u c an e a r n 8% in t eres t co m p o u n d e d co n t in u o u s l y, h o w m u c h w o u l d yo u n ee d t o d e p os i t n o w in t o t h e a cco u n t t o re a c h yo u r re t i re m e n t g o a l ?

الحلّ

Principal : 60568.96

خطوات الحلّ

Translate the problem into an equation:

300000 = P e^{0.08 \cdot 20}

300000 = P e^{0.08 \cdot 20}, P

حلّ لـ:

P = 60568.96

Principal : 60568.96

أمثلة شائعة

In 1 year, Harold wants to buy a bicycle that costs 600.00. If he opens a savings account that earns 9% interest compounded continuously, how much will he have to deposit as principal to have enough money in 1 year to buy the bike?How much would you have to deposit in an account with a 8% interest rate, compounded continuously, to have 3000 dollars in your account 10 years later.Find the future value and interest earned if 8704.56 is invested for 7 years at 4% compounded semiannually.Three consecutive natural numbers add up to 24. Find the numbers.47 decreased by twice a number