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25 July, 11:57

A bank account starts with $100 and earns 4% interest annually. How much money will be in the account after 12 years assuming no transactions have occurred. Round to the nearest cent.

Jim received a $2000 loan from his bank. The loan accrues 3% interest every 3 months. How much will Jim owe the bank after 4 years? Round to the nearest cent?

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  1. 25 July, 13:26
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    A] The future amount of an invested is given by:

    A=P (1+r/100) ^t

    where:

    A=amount

    P=principle

    r=rate

    t=time

    thus the amount after 12 years will be:

    A=100 (1+4/100) ^12

    A=$160.10

    b] The amount that Jim will owe the bank after 4 years will be given by;

    A=p (1+r/200n) ^nt

    A=amount

    p=principle=2000

    r=rate=4*3=12% p. a

    t=time=4 years

    n=number of terms=4

    thus:

    A=2000 (1+0.03) ^16

    A=$3209.41

    Jim will owe the bank $3209.4 after 4 years
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