pleae answer all questions with supporting work!!

Note: You may refer to Table 7.2 "The Serial Numbers for Each Day of the Year" (Hummelbrunner et al., 2021, p. 269270) for this question. (a) What is the interest rate paid if the interest on loan of $4500 is $148.93 from November 14 , 2023, April 14, 2024? (3 marks) (b) A loan of $4210 is to be repaid by three equal payments due in 90 days, 185 days, and 320 days. Determine the amount of equal payments at 8.25% p.a. with a focal date of today. Table 7.2 The Serial Numbers for Each Day of the Year (Hummelbrunner et al., 2021, p.269 - 270). \begin{tabular}{ccccccccccccc} \hline Day of Month & Jan & Feb & Mar & Apr & May & Jun & Jul & Aug & Sept & Oct & Nor & Dec \\ \hline 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 \\ 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 \end{tabular}