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Sagot :
The balance after thirty months would be $881.57.
Balance after the minimum payments is calculated as follows:
Initial balance * ((1+r)(1-m))^t
Where r = APR/12 and m = monthly minimum per cent
The Given information is:
Initial balance = 3000
R = .13/12 = 0.01083 and
m = 0.05
Putting these values in the formula, we get
3000*((1+0.01083)(1-0.05))^t = 3000*(1.01083*0.95^t
= 3000*(0.960)^t
So we have the equation = 3000*(0.960)^t.
To find the balance after 30 months, put the value of t in the equation above,
We know, t = 30 then,
3000*(0.960)^30 = 3000*0.2938 = 881.57
So we will have an amount of at least $881.57 after six years.
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