Math, asked by Piyupd5005, 6 months ago

Jack lends $3,000 today to his friend at an interest rate of 10% per year, and follows it up with 3 more loans at the end of each year for three years. Each loan is $2,000 higher than the previous one. How much money should he receive from his friend at the end of three years?

Answers

Answered by amitnrw
0

Given : Jack lends $3,000 today to his friend at an interest rate of 10% per year, and follows it up with 3 more loans at the end of each year for three years. Each loan is $2,000 higher than the previous one

To find : How much money should he receive from his friend at the end of three years?

Solution:

Amount lended

= $ 3000      in Starting

5000 , 7000  & 9000 lended for next 3 years

Amount Lend = 3000 + 5000 + 7000 + 9000

= 24000$

Interest earned on  $ 3000  for 3 years at 10 %

=  3000 * 10 * 3 /100

= 900 $

Interest earned on  $ 5000  for 2 years at 10 %

=  5000 * 10 * 2 /100

= 1000 $

Interest earned on  $ 7000  for 1 years at 10 %

=  7000 * 10 * 1 /100

= 700 $  

Interest earned = 900 + 1000 + 700 = 2600 $

Total amount to be received = Amount lend + Interest earned

= 24000 + 2600

= 26600 $

Jack should receive  26600 $ at the end of three years

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Answered by limxuanyi31
0

Answer: 26 743

Using compounding interest formula

End of 1st year

3000 (1+10/100)^3 = 3993

End of 2nd year
5000 (1+10/100)^2 = 6050

End of 3rd year

7000 (1+10/100)^1 = 7700

End of 4th Year
9000 (1+10/100)^0 = 9000

Add all up
3993 + 6050 + 7700 +9000 = 26743

the other answer providing here used simple interest which is completely wrong

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