1. The lengths of the three sides of a triangle are measured as 15 cm , 24 cm and 25 cm respectively. If the
three measurements are correct to the nearest cm , find the percentage error in calculating the perimeter of
the triangle correct to the nearest 0.1% .
2.Peter invests $P at the beginning of each month in a year at an interest rate of 6% per annum, compounded
monthly. If he gets $10 000 at the end of the year, find P correct to 2 decimal places.
數學 DSE sample paper
2011-10-05 7:00 am
回答 (1)
2011-10-05 8:44 am
✔ 最佳答案
Question 1The maximum error in calculating the perimeter
= 0.5 cm x 3 = 1.5 cm
The maximum percentage error
= 1.5 / (15+24+25)
= 1.5 /64
= 2.34%
Question 2
P (1+6%/12)^12 +P(1+6%/12)^11 + .... P(1+6%/12)^2+ P(1+6%/12) = 10000
P(1.005)^12 + P(1.005)^11 +.... P(1.005) =10000
P(1.005) (1-1.005^12)/(1-1.005) = 10000
P = 10000 * (-0.005) /[1.005 * (1-1.005^12)]
=806.63
參考: ME
收錄日期: 2021-05-03 01:58:46
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