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Suppose you deposit $2000 in a bank account that has a doubling time of 19 years. To the nearest $100, what will your balance be after 5 years?

$2400

$2500

$7600

$27,900

Respuesta :

Abu99
We can display the information given as an equation:
2000 * [tex] r^{19} [/tex] = 4000; r = increase per annum
Now, we rearrange and solve for r:
[tex] r^{19} [/tex] = 2
r = [tex] \sqrt[19]{2} [/tex] = 1.037.....
We can now work out the increase for 5 years like so:
2000 * [tex] r^{5} [/tex] = 2400.205..... ⇒ $2400