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شائع Word Problems >

mr smith invested 200000 into a fund that compounded interest continuously. Ten years later his account had a balance of 220000. what interest rate did his investment earn

الحلّ

m r s mi t h in v es t e d 200000 in t o a f u n d t ha t co m p o u n d e d in t eres t co n t in u o u s l y . T e n ye a rs l a t er hi s a cco u n t ha d a ba l an ce o f 220000. w ha t in t eres t r a t e d i d hi s in v es t m e n t e a r n

الحلّ

Rate : 0.95765 \dots %

خطوات الحلّ

Translate the problem into an equation:

220000 = 200000 (1 + \frac{r}{1})^{1 \cdot 10}

220000 = 200000 (1 + \frac{r}{1})^{1 \cdot 10}, r

حلّ لـ:

r = 0.95765 \dots %

Rate : 0.95765 \dots %

أمثلة شائعة

The circumference of a circle is 25.12 yards. What is the circle's area?The 40th term of the number sequence is 119.(b) Work out the 41st term of the number sequence.A land is in the shape of rectangle. Find the area of the land whose side lengths are 3sqrt(8) inches and 2sqrt(8) inches.What number is 29% of 45 127.5 is 250% of what number