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شائع Word Problems >

Gavin is saving up money to buy a car. Gavin puts 5,000.00 into an account which earns 10% interest, compounded continuously. How much will he have in the account after 1 year?

الحلّ

G a v in i s s a v in g u p m o n ey t o b u y a c a r . G a v in p u t s 5, 000.00 in t o an a cco u n t w hi c h e a r n s 10% in t eres t, co m p o u n d e d co n t in u o u s l y . Ho w m u c h w i ll h e ha v e in t h e a cco u n t a f t er 1 ye a r ?

الحلّ

Amount : 5525.85

خطوات الحلّ

Translate the problem into an equation:

A = 5000 e^{0.1 \cdot 1}

5000 e^{0.1 \cdot 1} = 5525.85459 \dots

Round to the nearest hundredth:

5525.85

Amount : 5525.85

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