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Sagot :

1. A = P(1+rt)

= 50000(1+5%(3))

= 50000(1+0.05(3))

= 50000(1+(0.15))

= 50000(1.15)

= P75000

2. A = P(1+rt)

= 20000(1+2%(2))

= 20000(1+0.02(2))

= 20000(1+(0.04))

= 20000(1.04)

= P20800

3. A = P(1+r/n)^(nt)

= 400000(1+2%/4)^(4(12))

= 400000(1+0.02/4)^(48)

= 400000(1.005)^(48)

= P508195.66

4. A = P(1+r/n)^(nt)

50000 = 10000(1+6%/2)^(nt)

50000 = 10000(1+0.06/2)(2t)

50000 = 10000(1+1.03)^(2t)

50000 = 10000(2.03)^(2t)

50000 = (4.120)^(t)

4.12^t = 50000

t = 7.64 years

5. Let's say P = 10000

1st given

• A = P(1+rt)

= 10000(1+0.10(1.5)

= 10000(1.15)

= 11500

= P11536.89

2nd given

• A = P(1+r/n)^(nt)

= 10000(1+0.095/12)^(12(1.5)

= P11525.06

Kat should choose the 9.5% compounded monthly for 1½years

6. A = P(1+r/n)^(nt)

= 10000(1+0.02/3)^(3(5))

= P11048.04

7. F = P([1+i]^n-1)/i

= 18000([1+0.1]^12-1)/0.1

= 384917.10

= 384917.10+180000

= P564917.10

8. F = P([1+i]^n-1)/i

1000000 = P([1+0.04]^15(2)-1)/0.04

P = P17830.09

9. F = P([1+i]^n-1)/i

1000000 = P([1+0.05]^1(15) -1/0.05

P = P46342.28

10. P = P[1-(1+i)^-n/i]

= 5500[1-(1+0.12)^-(12(2))/0.12]

= P42813.73

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