Maths problem, how to do, thanks?

2019-11-01 12:53 pm

回答 (1)

2019-11-01 8:55 pm
✔ 最佳答案
 i) Fund $25000 was compounded yearly for 2 yrs :
amount,A₁ = 25000(1+r)² - - - - - -→《A = P(1+r)ⁿ 》
ii) Fund $30000 was compounded yearly for 1 yr :
amount,A₂ = 30000(1+r)
 
A₁ + A₂ = 59890
25000(1+r)² + 30000(1+r) = 59890
2500(1+r)² + 3000(1+r) = 5989
2500+5000r+2500r² + 3000+3000r = 5989
2500r² +8000r - 489 = 0
(50r-3)(50r+163) = 0
r = 3/50 = 0.06 or r = -163/50 (rejected)
∴ r = 0.06 = 6%


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