If Nick began with three clients, you would do basic math to get here.
January / 3 February / 3•2 = 6 March / 6•2 = 12 April / 12•2 = 24 May / 24•2 = 48 June / 48•2 = 96 July / 96•2 = 192 August / 192•2 = 384 September / 384•2 = 768 October / 768•2 = 1,536 November / 1,536•2 = 3,072 December / 3,072•2 = 6,144
Nick would start with 3 clients and end with 6,144 clients.
In terms of exponential growth and decay, you would start by putting it into the formula, "<em>f</em>(<em>x</em>)=<em>a</em>⋅<em>b</em>^<em>x</em>". You'll put 3 as <em>a</em> and since it's increasing double (or 100%) each month, you'll put <em>b</em> as 2 since you need to add one unit. For ^<em>x</em>, you'll add 12 since there are 12 months in a year. Your completed formula would come out as 3(2)^12 which would come out to 12288.
1.5% of the selling price of 1,207.74 is added on to the state tax of $796. We have to find out the total sales tax of the city and state taxes combined.
