Question #286915

6. Bob deposited ₱25,000 in a new savings account at 6% interest compounded semiannually.


At the beginning of year 3, Bob deposits an additional ₱35,000 at 8% interest compounded semiannually. At the end of 4 years, what is the balance in Bob's account?




1
Expert's answer
2022-01-13T17:31:31-0500

Compound interest


P=P0(1+rn)ntP=P_0(1+\dfrac{r}{n})^{nt}

Bob deposited ₱25,000 in a new savings account at 6% interest compounded semiannually.

At the end of 4 years


P1=25000(1+0.062)2(4)=31669.2520P_1=25000(1+\dfrac{0.06}{2})^{2(4)}=31669.2520

At the beginning of year 3, Bob deposits an additional ₱35,000 at 8% interest compounded semiannually.

At the end of 4 years


P2=35000(1+0.082)2(2)=40945.0496P_2=35000(1+\dfrac{0.08}{2})^{2(2)}=40945.0496


P=P1+P2=31669.2520+40945.0496P=P_1+P_2=31669.2520+40945.0496

=72614.30=72614.30

At the end of 4 years, the balance in Bob's account is 72,614.30.₱72,614.30.


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