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Math Exercises & Math Problems: Applications of Sequences, Simple and Compound Interest

 

 

 

 

1. We put 150 € to the bank. To what amount will increase our bank deposit in seven years at 2.5%
a) simple interest
b) compound interest ?

 

2. What would have to be
a) the simple interest
b) the compound interest
in order to our deposit of 10,000 € will have increased in five years by one half ?

 

3. For how long should be inserted into the bank 10,000 € to have this amount doubled
a) at 5% simple interest
b) at 5% compound interest ?

 

4. How much would we save up in 14 years at 3% compound interest, if we always put 10,000 € at the beginning of each new year ?

 

5. How many percent have to be the production increasing yearly during the next ten years so that at a constant percentage increase in 10 years it will be doubled ?

 

6. The production volume of this year amounted of 90 product units. How big should be the annual increase to have the production volume doubled in 4 years ?

 

7. The current production cost of one product is 450 €. In what time will the production cost reduce to a third of its current value, if the yearly decrease of the production cost is 15% ?

 

8. Of how many percent we have to increase the production each year in order to have the production increased by 60% in five years ?

 

9. Of how many percent with every stroke was decreased the original wire diameter 65 mm, if after 9 strokes the wire diameter is 46 mm ?

 

10. How many euros do we have to put into the bank in order to have 30,000 € available in 3 years, if the bank attributes at the end of each year 2% of the value of the deposit ?

 

11. How many euros do we have to put into the bank in order to have the borrowed 350 € returned in 5 years at 4%
a) simple interest
b) compound interest ?

 

12. What would have to be an annual percentage increase in order to our 600 € deposit increase in four years by one-third in the case of
a) the simple interest
b) the compound interest ?

 

13. There is about 75,000 m3 of wood in the forest. The annual growth is estimated to 3%. At the end of each year 3,500 m3 of the wood is harvested. Find out how much wood will remain in the forest
a) in one year
b) in two years
c) in ten years
What is happening with the forest ?

 

 

 

 

 

 

You might be also interested in:

- Sequence

- Arithmetic Sequence

- Geometric Sequence

- Infinite Series and Sums

- Limit of a Sequence

 

 
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