F.3 Maths(percentage)10 points

2011-10-11 6:14 am
1. The interest rate provided by bank A is 3.5%, compounded yearly. The interest rate provided by bank b is3.2%, compounded half- yearly. Find the difference in the amount of interest earned if $55000 is deposited in both accounts for 4 years.

ans:compounded yearly:
55000 x (1+3.5%) ^ 4 = 63113.77
compounded half-yearly
55000 x (1+3.2%/2) ^ 8 = 62447.11

different = 63113.77 - 62447.11 = 666.65


Why question said FIND the amount of interest ans吾駛減番個principal???



2. If simple interest of $3920 was offered on a deposit of $42000 over 2 years and 4 months, find the annual interest rate.


3. Kelly deposited a sum of money at an interest rate of4.6%p.a. If the interest of $4200 was earned after 2 years , with interest being compounded monthly, find the principal, correct to the nearest dollar.

4.The simple interest on a sum of money at r%p.a. for 4 years is equal to the compound interest on the same amount at 4%p.a. for 4 years compounded half yearly. Find the value of r correct to 2 significiant figure.


5.Peter sold two flats for$999999each. He lost 10% on one and gained10% on the other. Find Peter's gain or loss after the two transactions


ANS

1.666.65
2.4%
3.$43672
4.4.3
5.Lost $20202



PLEASE SHOW STEPS

THX

回答 (1)

2011-10-12 4:22 am
✔ 最佳答案
1. ans:compounded yearly:
55000 x (1+3.5%) ^ 4 = 63113.77
compounded half-yearly
55000 x (1+3.2%/2) ^ 8 = 62447.11

different = (63113.77-principal)- (62447.11-principal) = 666.65
佢約左個本金.

2. Let I be the interest rate
42000*(2+4/12)*I=3920
I=0.04
The interest rate is 4% per annum.

3. Let $P be the principal,
P(1+4.6%/12)^24-P=4200
P(0.09617)=4200
P=43672
The principal is $43672

4. r%*4=(1+4%/2)^8-1
4r%=0.17165
r=4.3

5. change in his assets;
999999*2-999999/(1-10%)+999999/(1+10%)
=-$20202
He lost $20202


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