John decides to build a program capable of identifying cancer cells.  He gets initial funding of $100,000 for the first 5 months of research.  His research ends up taking 10 times that long and every month after those first 5 took 50% more funding per month.  How much did his research cost?
The research ended up taking 5*10=
<gadget id="calculator">5*10</gadget>
<output>50</output>
50 months.
So he paid for expensive research for 50-5=
<gadget id="calculator">50-5</gadget>
<output>45</output>
45 months.
Each month of research at the cheaper stage cost 100,000/5=$
<gadget id="calculator">100000/5</gadget>
<output>20_000</output>
20,000.
So the more expensive research cost 20,000*1.5=$
<gadget id="calculator">20000*1.5</gadget>
<output>30_000</output>
30,000.
So that research cost 45*30,000=$
<gadget id="calculator">45*30000</gadget>
<output>1_350_000</output>
1,350,000.
So the total cost was 1,350,000+100,000=$
<gadget id="calculator">1350000+100000</gadget>
<output>1_450_000</output>
1,450,000.

<result>1_450_000</result>