Question

30PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answer 1

1)

a)

P = 1500, r = 4% = 0.04, n = 5

$A = 1500 (1+0.04)^5= 1824.98$

He shall have $1824.98 in his account after 5 years

b)

Here P = 1500 , r = 4% = 0.04, n = 5 but simple interest

So

$I=PRn= 1500(.04)(5)=300$

Interest = $300

Amount in his account after 5 years = 1500 + 300 = $1800

c)

First one shall yield a better income and by 1824.98-1800 = $24.98

2)

a)

P= $2000, r = 8% = 0.08 so quaterly = 0.08/4 = 0.02, n = 1 year

$A = P(1+r)^{4n} =2000(1+0.02)^4 =2164.86$

There shall be $2164.86 after 1 year

b)

P = 2000, r= 8%=0.08 and n = 1 for simple interest

$I=PRn = 2000(0.08)(1)=160$

Amount after 1 year shall be 2000 + 160= $2160

c)

First option is a better option.

The difference is 2164.86 - 2160 = $4.86

3)

a)

Bank A

P= 3200, r = 3.5%= 0.035, n = 3 years for simple interest

$I =3200(0.035)(3)=336$

Interest earned in Bank A = $336

b)

Bank B

P = 3200, r = 3.4% = 0.034, n= 3

$A= P(1+r)^n=3200(1+0.034)^3=3537.62$

Interest earned = 3537.62 - 3200 = $337.62

c)

Tyler must choose Bank B as it fetches greater interest

d)

The difference in interest = 337.62 - 336 = $1.62