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Popular Word Problems >

Suppose that 2600 is borrowed for three years at an interest rate of 5.5% per year, compounded continuously. Find the amount owed, assuming no payments are made until the end

Solution

S u pp ose t ha t 2600 i s b orro w e d f or t h ree ye a rs a t an in t eres t r a t e o f 5.5% p er ye a r, co m p o u n d e d co n t in u o u s l y . F in d t h e am o u n t o w e d, a ss u min g n o p a y m e n t s a re ma d e u n t i l t h e e n d

Solution

Amount : 3066.42

Solution steps

Translate the problem into an equation:

A = 2600 e^{0.055 \cdot 3}

2600 e^{0.055 \cdot 3} = 3066.42210 \dots

Round to the nearest hundredth:

3066.42

Amount : 3066.42

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