MATH FOR BUSINESS ASSIGNMENTS
anuskee
Formula_Sheet_For_Midterm1.docx
Formula Sheet For Midterm Exam:
BUSI 1003: Summer 2021
Unit #1
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Rules: Operation with powers
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Rules: Operation with fraction powers
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Logarithm Properties |
Slope and y-intercept linear equation:
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y = mx + b m= b = y-intercept
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Unit #2
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Sample mean/average:
= sum of the values of n observations n = number of observations in the sample |
Weighted average:
where: xi = value of observation i wi = weight for observation i
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Percentage = rate × base Alternatively, you can say New number = rate × original number
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Unit # 3
Profit = Total Revenue – Total Cost
We can write PFT = TR − TC
Total Revenue = Selling Price × Volume (in units X)
TR = SP × X
Total Variable Cost = Variable Cost per unit × Volume (in units X)
TVC = VC × X
We can write (SP × X) – FC – (VC × X) = PFT
Contribution margin per unit
CM PER UNIT = SP − VC
· Multiplying the CM PER UNIT by the number of units = Total Contribution Margin
TOTAL CM = (SP − VC) × X
We can express profit PFT in contribution margin format as
(SP – VC) × X − FC = PFT
NET PRICE = L (1 − d1)(1 − d2)(1 − d3) … (1 − dn)
SERD = 1− [(1 − d1)(1 − d2)(1 − d3)…(1 − dn)]
· Selling Price = Cost of Buying + Expenses + Profit
· S = C + E + P
Markup (M) = E + P
therefore
S = C + M
Sale Price = Regular Selling Price − Markdown
SR = S − MD
Where SR is the reduced price.
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· Sale Price = Regular Selling Price × NPF
· SR = S (1− md)
Unit # 4
· I is the amount of interest earned
· P is the principal sum of money earning the interest, borrowed or invested
· r is the simple annual (yearly or nominal) rate of interest expressed as a percent, which can be converted into a decimal
· t is the interest period in years (usually)
FV
FV
Present value/Principal:
Equivalent replacement payment:
The Serial Numbers for Each Day of the Year
|
Day of month |
Jan |
Feb |
Mar |
Apr |
May |
Jun |
Jul |
Aug |
Sept |
Oct |
Nov |
Dec |
|
1 |
1 |
32 |
60 |
91 |
121 |
152 |
182 |
213 |
244 |
274 |
305 |
335 |
|
2 |
2 |
33 |
61 |
92 |
122 |
153 |
183 |
214 |
245 |
275 |
306 |
336 |
|
3 |
3 |
34 |
62 |
93 |
123 |
154 |
184 |
215 |
246 |
276 |
307 |
337 |
|
4 |
4 |
35 |
63 |
94 |
124 |
155 |
185 |
216 |
247 |
277 |
308 |
338 |
|
5 |
5 |
36 |
64 |
95 |
125 |
156 |
186 |
217 |
248 |
278 |
309 |
339 |
|
6 |
6 |
37 |
65 |
96 |
126 |
157 |
187 |
218 |
249 |
279 |
310 |
340 |
|
7 |
7 |
38 |
66 |
97 |
127 |
158 |
188 |
219 |
250 |
280 |
311 |
341 |
|
8 |
8 |
39 |
67 |
98 |
128 |
159 |
189 |
220 |
251 |
281 |
312 |
342 |
|
9 |
9 |
40 |
68 |
99 |
129 |
160 |
190 |
221 |
252 |
282 |
313 |
343 |
|
10 |
10 |
41 |
69 |
100 |
130 |
161 |
191 |
222 |
253 |
283 |
314 |
344 |
|
11 |
11 |
42 |
70 |
101 |
131 |
162 |
192 |
223 |
254 |
284 |
315 |
345 |
|
12 |
12 |
43 |
71 |
102 |
132 |
163 |
193 |
224 |
255 |
285 |
316 |
346 |
|
13 |
13 |
44 |
72 |
103 |
133 |
164 |
194 |
225 |
256 |
286 |
317 |
347 |
|
14 |
14 |
45 |
73 |
104 |
134 |
165 |
195 |
226 |
257 |
287 |
318 |
348 |
|
15 |
15 |
46 |
74 |
105 |
135 |
166 |
196 |
227 |
258 |
288 |
319 |
349 |
|
16 |
16 |
47 |
75 |
106 |
136 |
167 |
197 |
228 |
259 |
289 |
320 |
350 |
The Serial Numbers for Each Day of the Year
|
Day of month |
Jan |
Feb |
Mar |
Apr |
May |
Jun |
Jul |
Aug |
Sept |
Oct |
Nov |
Dec |
|
17 |
17 |
48 |
76 |
107 |
137 |
168 |
198 |
229 |
260 |
290 |
321 |
351 |
|
18 |
18 |
49 |
77 |
108 |
138 |
169 |
199 |
230 |
261 |
291 |
322 |
352 |
|
19 |
19 |
50 |
78 |
109 |
139 |
170 |
200 |
231 |
262 |
292 |
323 |
353 |
|
20 |
20 |
51 |
79 |
110 |
140 |
171 |
201 |
232 |
263 |
293 |
324 |
354 |
|
21 |
21 |
52 |
80 |
111 |
141 |
172 |
202 |
233 |
264 |
294 |
325 |
355 |
|
22 |
22 |
53 |
81 |
112 |
142 |
173 |
203 |
234 |
265 |
295 |
326 |
356 |
|
23 |
23 |
54 |
82 |
113 |
143 |
174 |
204 |
235 |
266 |
296 |
327 |
357 |
|
24 |
24 |
55 |
83 |
114 |
144 |
175 |
205 |
236 |
267 |
297 |
328 |
358 |
|
25 |
25 |
56 |
84 |
115 |
145 |
176 |
206 |
237 |
268 |
298 |
329 |
359 |
|
26 |
26 |
57 |
85 |
116 |
146 |
177 |
207 |
238 |
269 |
399 |
330 |
360 |
|
27 |
27 |
58 |
86 |
117 |
147 |
178 |
208 |
239 |
270 |
300 |
331 |
361 |
|
28 |
28 |
59 |
87 |
118 |
148 |
179 |
209 |
240 |
271 |
301 |
332 |
362 |
|
29 |
29 |
* |
88 |
119 |
149 |
180 |
210 |
241 |
272 |
302 |
333 |
363 |
|
30 |
30 |
Blank |
89 |
120 |
150 |
181 |
211 |
242 |
273 |
303 |
334 |
364 |
|
31 |
31 |
Blank |
90 |
Blank |
151 |
Blank |
212 |
243 |
Blank |
304 |
Blank |
365 |
