Answer:
At the beginning of 6th month , Jeff will have in his account $ 520 .
Step-by-step explanation:
At the beginning of 6th month , Jeff will have in his account,
$ [tex]( 100 \times (1 + 0.02\times 4) + 100 \times (1 + 0.02 \times 3) + 100 \times (1 + 0.02 \times 2) + 100 \times (1 + 0.02) + 100)[/tex]
= $ [tex](100 \times (5 + 0.02 \times (4 + 3 + 2 + 1)))[/tex]
= $ [tex](100 \times (5 + 0.02 \times 10))[/tex]
= $ [tex](100 \times 5.2)[/tex]
= $ 520
since, the $ 100 deposited at the end of 1st month earns interest for 4 months till the end of the 5th month, the $ 100 deposited at the end of the 2nd month earns interest for 3 months and so on till the last $100 deposited earns interest for '0' month.
