ar

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

شائع Word Problems >

Lydia invested 83,000 in an account paying an interest rate of 6.7% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 210,100?

الحلّ

L y d ia in v es t e d 83, 000 in an a cco u n t p a y in g an in t eres t r a t e o f 6.7% co m p o u n d e d m o n t h l y . A ss u min g n o d e p os i t s or w i t h d r a w a l s a re ma d e, h o w l o n g w o u l d i t t ak e, t o t h e n e a res t ye a r, f or t h e v a l u e o f t h e a cco u n t t o re a c h 210, 100 ?

الحلّ

Time : 13.9

خطوات الحلّ

Translate the problem into an equation:

210100 = 83000 (1 + \frac{0.067}{12})^{12 t}

210100 = 83000 (1 + \frac{0.067}{12})^{12 t}, t

حلّ لـ:

t = 13.9

Time : 13.9

أمثلة شائعة

2 years ago, Owen won some money in the lottery and put it in a bank account that earns 15% interest compounded annually. If Owen currently has 400.00 in the bank account, how much interest has he earned?The radius of a circle is 5 in. Find its area in terms of pipi.Determine the simple interest for this loan-round your answer to the nearest cent:330.56 at 4.57% for 29 years.Jeffrey opened a savings account and deposited 100.00 as principal. The account earns 6% interest, compounded monthly. How much interest will he earn after 3 years?Kinsley opened a savings account and deposited 300.00. The account earns 15% interest, compounded quarterly. If she wants to use the money to buy a new bicycle in 2 years, how much will she be able to spend on the bike?