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شائع Word Problems >

8000 are invested in a bank account at an interest rate of 6 percent per year. Find the amount in the bank after 12 years if interest is compounded monthly.

الحلّ

8000 a re in v es t e d in a bank a cco u n t a t an in t eres t r a t e o f 6 p erce n t p er ye a r . F in d t h e am o u n t in t h e bank a f t er 12 ye a rs i f in t eres t i s co m p o u n d e d m o n t h l y .

الحلّ

Amount : 16406.01

خطوات الحلّ

Translate the problem into an equation:

A = 8000 (1 + \frac{0.06}{12})^{12 \cdot 12}

8000 (1 + \frac{0.06}{12})^{12 \cdot 12} = 16406.00652 \dots

Round to the nearest hundredth:

16406.01

Amount : 16406.01

أمثلة شائعة

Mia invested 52,000 in an account paying an interest rate of 3.1% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach 62,100?The diameter of a circle is 17 ft. Find its area to the nearest whole number.The difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. What is the smaller number?six times the sum of a number and 9 equals 2 The diameter of a circle is 37 m. Find its area to the nearest whole number.