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"cell_type": "heading",
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"metadata": {},
"source": [
"8 Discrete numeric functions and generating functions"
]
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{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 01:Page 368"
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},
{
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"input": [
"print \"Suppose we deposit $100 in a savings account at an interest rate of 7 percent per year, compounded annually\"\n",
"principal=100\n",
"rate_of_interest=7\n",
"def amount(r): # r represents the number of years\n",
" a=principal*pow(1.07,r) # Since the formula for compound interest is 100*(1+(rate_of_interest/100)) and rate_of_interest here is 7\n",
" return a\n",
"print \"At the end of the first year, the total amount in the account is $\",amount(1) #Since we calculate the amount after 1 year, here r is 1\n",
"print \"At the end of the second year, the total amount in the account is $\",amount(2) #Since we calculate the amount after 2 years, here r is 2\n",
"print \"At the end of the third year, the total amount in the account is $\",round(amount(3),2) #Since we calculate the amount after 3 years, here r is 3\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Suppose we deposit $100 in a savings account at an interest rate of 7 percent per year, compounded annually\n",
"At the end of the first year, the total amount in the account is $ 107.0\n",
"At the end of the second year, the total amount in the account is $ 114.49\n",
"At the end of the third year, the total amount in the account is $ 122.5\n"
]
}
],
"prompt_number": 1
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"metadata": {}
}
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