ar

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

شائع Word Problems >

Joe wants to buy a bond that will mature to 6000 in seven years. How much should he pay for the bond now if it earns interest at a rate of 2% per year, compounded continuously?

الحلّ

J oe w an t s t o b u y a b o n d t ha t w i ll ma t u re t o 6000 in se v e n ye a rs . Ho w m u c h s h o u l d h e p a y f or t h e b o n d n o w i f i t e a r n s in t eres t a t a r a t e o f 2% p er ye a r, co m p o u n d e d co n t in u o u s l y ?

الحلّ

Principal : 5216.15

خطوات الحلّ

Translate the problem into an equation:

6000 = P e^{0.02 \cdot 7}

6000 = P e^{0.02 \cdot 7}, P

حلّ لـ:

P = 5216.15

Principal : 5216.15

أمثلة شائعة

the sum of a number and three less than the number is sixteen the sum of three consecutive odd integers is 153 The radius of a circle is 7 kilometers. What is the circle's circumference?Evelyn puts 500.00 into an account to use for school expenses. The account earns 12% interest, compounded monthly. How much will be in the account after 9 years?The sum of two consecutive odd numbers is 748, what are the numbers