At a growth interest) rate of 23 percent annually, how long will it take for a sum to double? To triple? Use Appendix A for an approximate answer, but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answers to 2 decimal places.) Time needed to double Time needed to triple years years Appendix A Future value of $1, FVF FV = PV[1+ 7)" Percent Period 6% 9% 7% 1.070 1.145 11% 1.110 1.232 1.368 1.518 1.685 1.870 2.076 2.305 1% 1.010 1.020 1.030 1.041 1.051 1.062 1.072 1.083 1.094 1.105 1.116 1.127 1.138 1.149 1.161 1.173 1.184 1.196 1.208 1.220 1.282 1.348 1.489 1.645 2.558 2% 1.020 1.040 1.061 1.082 1.104 1.126 1.149 1.172 1.195 1.219 1.243 1.268 1.294 1.319 1.346 1.373 1.400 1.428 1.457 1.486 1.641 1.811 2.208 2.692 3% 1.030 1.061 1.093 1.126 1.159 1.194 1.230 1.267 1.305 1.344 1.384 1.426 1.469 1.513 1.558 1.605 1.653 1.702 1.754 1.806 2.094 2.427 1.040 1.082 1.125 1.170 1.217 1.265 1.316 1.369 1.423 1.480 1.539 1.601 1.665 1.732 1.801 1.873 1.948 2.026 2.107 2.191 2.666 3.243 4.801 7.107 1.060 1.124 1.191 1.262 1.338 1.419 1.504 1.594 1.689 1.791 1.898 2.012 2.133 5% 1.050 1.103 1.158 1.216 1.276 1.340 1.407 1.477 1.551 1.629 1.710 1.796 1.886 1.980 2.079 2.183 2.292 2.407 2.527 2.653 3.386 1.225 1.311 1.403 1.501 1.606 1.718 1.838 1.967 2.105 2.252 2.410 2.579 2.759 2.952 3.159 3.380 3.617 3.870 5.427 7.612 14.974 29.457 8% 1.080 1.166 1.260 1.360 1.469 1.587 1.714 1.851 1.999 2.159 2.332 2.518 2.720 2.937 3.172 3.426 3.700 3.996 4.316 4.661 6.848 10.063 21.725 46.902 1.090 1.188 1.295 1.412 1.539 1.677 1.828 1.993 2.172 2.367 2.580 2.813 3.066 3.342 3.642 3.970 4.328 4.717 5.142 5.604 8.623 13.268 31.409 7 4.358 10% 1.100 1.210 1.331 1.464 1.611 1.772 1.949 2.144 2.358 2.594 2.853 3.138 3.452 3.797 4.177 4.595 5.054 5.560 6.116 6.727 10.835 17.449 45.259 117.39 3.152 3.498 3.883 4.310 4.785 5.311 2.261 2.397 2.540 2.693 2.854 3.026 3.207 4.292 5.743 10.286 18.420 ONT 00 NO 4.322 13.585 22.892 65.001 184.57 3.262 7.040 11.467 4.384 Appendix A (concluded) Future value of $1 Period 14% 12% 1.120 1.254 1.405 1.574 1.762 1.974 2.211 2.476 2.773 3.106 3.479 3.896 4.363 4.887 5.474 6.130 6.866 7.690 8.613 9.646 17.000 29.960 93.051 289.00 13% 1.130 1.140 1.277 1.300 1.443 1.482 1.630 1.689 1.842 1.925 2.082 2.195 2.353 2.502 2.658 2.853 3.004 3.252 3.395 3.707 3.836 4.226 4.335 4.818 4.898 5.492 5.535 6.261 6.254 7.138 7.067 8.137 7.986 9.276 9.024 10.575 10.197 12.056 11.523 13.743 21.231 26.462 39.11650.950 132.78 188.88 450.74700.23 15% 1.150 1.323 1.521 1.749 2.011 2.313 2.660 3.059 3.518 4.046 4.652 5.350 6.153 7.076 8.137 9.358 10.761 12.375 14.232 1 6.367 32.919 66.212 267.86 1.083.7 16% 1.160 1.346 1.561 1.811 2.100 2.436 2.826 3.278 3.803 4.411 5.117 5.936 6.886 7.988 9.266 10.748 12.468 14.463 16.777 19.461 4 0.874 85.850 378.72 1670.7 17% 1.170 1.369 1.602 1.874 2.192 2.565 3.001 3.511 4.108 4.807 5.624 6.580 7.699 9.007 10.539 12.330 14.426 16.879 19.748 23.106 50.658 11.07 533.87 2,566. 2 Percent 18% 1.180 1.392 1.643 1.939 2.288 2.700 3.185 3.759 4.435 5.234 6.176 7.288 8.599 10.147 11.974 14.129 16.672 19.673 23.214 27.393 62.669 143.37 7 50.38 ,927.4 19% 1.190 1.416 1.685 2.005 2.386 2.840 3.379 4.021 4.785 5.696 6.777 8.064 9.596 11.420 13.590 16.172 19.244 22.091 27.252 32.429 77.388 184.68 1,051.7 5,988.9 20% 1.200 1.440 1.728 2.074 2.488 2.986 3.583 4.300 5.160 6.192 7.430 8.916 10.699 12.839 15.407 18.488 22.186 26.623 31.948 38.338 95.396 237.38 1.469.8 9,100.4 25% 1.250 1.563 1.953 2.441 3.052 3.815 4.768 5.960 7.451 9.313 11.642 14.552 18.190 22.737 28.422 35.527 44.409 55.511 69.389 86.736 264.70 807.79 7,523.2 70,065.0 30% 1.300 1.690 2.197 2.856 3.713 4.827 6.276 8.157 10.604 13.786 17.922 23.298 30.288 39.374 51.186 66.542 86.504 112.46 146.19 190.05 705.64 2,620.0 36,119.0 497,929.0 3