Calculus Intelligence Agency

Calculus Intelligence Agency 34564 Astuteness Boulevard Mystery City, Enigma 34564

Dr. I.R. Service The White House 1600 Pennsylvania Avenue NW Washington, DC 20500

Dear Dr. I.R. Service:

If the President’s staff selects you, you will definitely face a stiff set of confirmation hearings in front of the U.S. Senate. The C.I.A. (Calculus Intelligence Agency) is here to help you become more intellectually stimulated by our findings. Our findings report whether or not the reported receipts and outlays for various years actually yield values for the national debt that are close to the reported values. The following information and data will prove that the C.I.A. has done an accurate investigation.

To investigate the allegations that a member of Ross Perot’s political party has made regarding the federal debt, we began with the summarized data given to you in table form. To ease calculations, we used 0 for year 1939 and 52 for year 1991. This made it much simpler to find the formula for a curve that approximates the data. The formula for that curve is:

Y = -0.2596x4 + 31.51x3 – 1030.8x2 + 8938.4x + 18965

300000

250000

y = -0.2596x4 + 31.51x3 - 1030.8x2 + 8938.4x + 18965 200000 R2 = 0.8959

150000

100000

0 0 10 20 30 40 50

-50000 with Y being the deficit in millions, and x being the number of years after 1939. The area under the curve should closely approximate the Left sum Right sum national debt, since the Y-axis is dollars per year, and X- 15448 229684 axis is years. To find the area under this curve, we used all 57421 51423 five of the methods that Professor Cox had taught us. To 51423 53941 find the range of answers that we should get, we found the 269705 15610 left and right sum. To get these numbers, we multiplied the 18732 -24522 -16348 -1076 interval (that is, the change in x between two consecutive -1345 7985 years) by a dollar value given in the table. For the left sum, 7985 14225 we multiplied it by the dollar value of the left year—the one 14225 225540 with the lower x-value. For the right sum, we multiplied it 225540 294805 by the right year, which is the one with the higher value. 294805 1014065 202813 220698 Trapezoid The Trapezoid sum was next. We used the 220698 148004 sum area formula: 148004 155102 122566 ½ (B1+B2)*H 155102 151952 54422 to find the area of each trapezoidal section, 151952 220388 52682 with B1 and B2 being the years, and H being 220388 268729 142657.5 the interval. There were two intervals, Total: Total: -2889.3* 2036548 3046553 -8712 however, that were not trapezoids. These 3321.18* were the years where the deficit changed from positive to negative, or 11105 from negative to positive, and are marked with asterisks. These intervals 119882.5 were actually two triangles, which we found the area of separately and 260172.5 added together. 654435 211755.5 For our midline sum, we needed to use our curve Midpoint Sum 184351 formula. We divided the curve into 26 slices, each Midpoint Y-value Slice Area 151553 slice with an interval of 2, and found the y- 1 27075.354 54150.708 153527 coordinates of the midpoint of each slice. The 3 37148.326 74296.651 186170 data is given on the next page. 5 41314.563 82629.126 244558.5 7 40846.283 81692.566 Total: 9 36919.614 73839.229 2541557.38 The C.I.A. plugged in the actual deficit for years 1939 through 1991 into the formula above. The 11 30614.594 61229.189 actual deficit was determined by subtracting the outlay from the 13 22915.171 45830.341 revenue for each given year. The C.I.A. utilized five calculus 15 14709.201 29418.402 methods to estimate the national debt. The C.I.A. estimates the 17 6788.454 13576.908 19 -151.39303 -302.78606 national debt to be $2,036,548 million with the left sum 21 -5510.7518 -11021.504 estimation method. The C.I.A. estimates the national debt to be 23 -8786.1242 -17572.248 $3,046,553 million with the right sum estimation method. The 25 -9570.1022 -19140.204 C.I.A. utilized the trapezoid sum, which estimated the national 27 -7551.3675 -15102.735 debt to be $2,541,557 million. The midline sum was estimated by 29 -2514.6918 -5029.3836 the C.I.A. to give the national debt to be $2,638,045 million. The 31 5659.0631 11318.126 C.I.A. determined the national debt approximated by the Integral 33 16992.946 33985.891 of the Quarctic formula. The formula is given above. The 35 31413.914 62827.829 37 48752.838 97505.675 39 68744.494 137488.99 41 91027.572 182055.14 43 115144.67 230289.34 45 140542.3 281084.6 47 166570.87 333141.75 49 192484.73 384969.45 51 217442.09 434884.19 Total: 2638045.2 approximate national debt since 1939 was $2,638,577 million. Our approximate total national debt in 1991 was $2,678,577 million.

The Treasury Department, in 1939, claimed the national debt was $40 billion. The Ross Perot’s political party has made the claim that the debt had risen to $3,665 billion in 1991. The data given by the C.I.A. verifies that there is evidence against a significant discrepancy between the national debt and the accumulation of reported deficits.

We are proud to be Americans!

Calculus Intelligence Agency aka C.I.A Agents Martin Sector, Samirah Abdelfattah, and Willie Leach