Question #117587

Question 2

Without using finance calculator,

(a) Haziq invests RM15,000 in a fund at 7% compounded quarterly. After t years, the value of the investment is RM300,000. Determine the value of t.

(b) Sarah invested RM5000 into an account that pays 5% compounded semiannually. She intended to keep the account untouched for 5 years. However, after 3 years, she had to withdraw RM3000. Find the amount left in the account after five years from the time she made her investment.

Expert's answer

a)

300,000=15,0001.07n300,000=15,000*1.07^n

20=1.07n20=1.07^n

1.0745=211.07^{45}=21

1.0744=19.631.07^{44}=19.63

After 45 years

b)

5,0001.053=5,788.1255,000*1.05^3=5,788.125

(5,788.1253,000)1.052=3,073.91(5,788.125-3,000)*1.05^2=3,073.91


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