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شائع Word Problems >

Find the accumulated value of an investment of 4000 at 5% compounded continuously for 4 years.

الحلّ

F in d t h e a cc u m u l a t e d v a l u e o f an in v es t m e n t o f 4000 a t 5% co m p o u n d e d co n t in u o u s l y f or 4 ye a rs .

الحلّ

Amount : 4885.61

خطوات الحلّ

Translate the problem into an equation:

A = 4000 e^{0.05 \cdot 4}

4000 e^{0.05 \cdot 4} = 4885.61103 \dots

Round to the nearest hundredth:

4885.61

Amount : 4885.61

أمثلة شائعة

An investor opens an account with a principal of 6,390. The account earns 3.2% simple annual interest. What is the total account balance after 12 years?The diameter of a circle is 14 cm. Find its area in terms of pi (13pi)/6 reference number Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly. Your answer is t= years. You may enter the exact value or round to 2 decimal places.You deposit 2500 in a savings account. Find the balance after 4 years if the account earns 2% interest compounded annually.