Use Table 11-2 to solve the problem. The requirement for computer server capacity at a particular company is expected to increase at a rate of 15% per year for the next 5 years. If the server capacity is expected to be 1,200 gigabytes in 5 years, how many gigabytes of capacity are there today? Round to the nearest whole gigabyte. GB

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Use Table 11-2 to solve the problem.
The requirement for computer server capacity at a particular company is expected to increase at a rate of 15% per year for the next 5 years. If the server capacity is expected to
be 1,200 gigabytes in 5 years, how many gigabytes of capacity are there today? Round to the nearest whole gigabyte.
GB
Transcribed Image Text:Use Table 11-2 to solve the problem. The requirement for computer server capacity at a particular company is expected to increase at a rate of 15% per year for the next 5 years. If the server capacity is expected to be 1,200 gigabytes in 5 years, how many gigabytes of capacity are there today? Round to the nearest whole gigabyte. GB
Periods
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Periods
1
2
3
4
5
6
Prag HDINS DE 2
7
12
14
19
20
21
22
23
24
25
0.99502
0.99007 0.98030
0.98515 0.97059
0.98025 0.96098
0.97537 0.95147
0.97052
0.96569
0.96089
0.95610
0.95135
1%
1/1/%
2%
0.99010 0.98522 0.98039
0.90056
0.89608
0.89162
0.94205
0.93272
0.92348
0.91434
0.90529
0.94661 0.89632
0.84893 0.80426
0.94191 0.88745 0.83639 0.78849
0.93722 0.87866 0.82403 0.77303
0.93256 0.86996 0.81185 0.75788
0.92792 0.86135 0.79985 0.74301
0.92330
0.91871 0.84438
0.85282 0.78803
0.77639
0.83602 0.76491
0.90959 0.82774 0.75361
0.91414
0.90506
0.81954 0.74247
3%
4%
5%
6%
7%
8%
0.93458 0.92593
0.97087 0.96154
0.94260 0.92456
0.95238 0.94340
0.97066 0.96117
0.90703 0.89000 0.87344 0.85734
0.95632 0.94232 0.91514 0.88900 0.86384 0.83962 0.81630 0.79383
0.94218 0.92385 0.88849 0.85480 0.82270 0.79209 0.76290 0.73503
0.92826 0.90573 0.86261 0.82193 0.78353 0.74726 0.71299 0.68058
0.91454
0.88797 0.83748
0.90103
0.87056
0.88771
0.85349
0.87459
0.83676
0.86167 0.82035
0.59627 0.56447
0.54703 0.51316
0.50187 0.46651
0.46043 0.42410
0.42241 0.38554
0.16370
0.15018
0.81143 0.73150
0.80340
0.72069
0.79544
0.71004
0.88719 0.78757 0.69954
0.88277 0.77977
0.38753 0.35049
0.35553 0.31863
0.32618 0.28966
0.29925 0.26333
0.27454 0.23939
0.25187 0.21763
0.23107 0.19784
0.21199 0.17986
0.19449 0.16351
0.17843
0.14864
0.72845
0.71416
0.53464
0.48166
0.43393
0.39092
0.35218
0.70016
0.68643
0.67297
0.18829
0.16963
0.15282
0.13768
0.12403
0.81309 0.75992
0.78941 0.73069
0.76642
0.74409 0.67556
0.72242 0.64958
0.70138
0.68095 0.60057 0.53032
0.66112 0.57748 0.50507
0.64186 0.55526 0.48102
0.62317
0.60502
0.79031 0.74622 0.70496
0.71068 0.66506
0.67684 0.62741
0.70259 0.64461 0.59190
0.61391 0.55839
0.53391
0.51337
0.58739
0.49363 0.41552
0.57029 0.47464
0.55368 0.45639 0.37689
0.58468 0.52679
0.62460 0.55684 0.49697
0.65978 0.53755 0.43883 0.35894 0.29416 0.24151 0.19866
0.64684 0.52189 0.42196 0.34185 0.27751
0.22571
0.18394
0.63416 0.50669 0.40573 0.32557 0.26180 0.21095 0.17032
0.62172 0.49193 0.39012 0.31007 0.24698 0.19715
0.68921 0.60953 0.47761 0.37512 0.29530 0.23300 0.18425
15%
0.86957
0.75614
0.65752
9%
10%
11%
12%
13%
14%
16%
17%
18%
0.91743 0.90909 0.90090 0.89286 0.88496 0.87719
0.86207 0.85470 0.84746
0.84168 0.82645 0.81162 0.79719 0.78315 0.76947
0.74316 0.73051 0.71818
0.77218 0.75131 0.73119 0.71178 0.69305 0.67497
0.64066 0.62437 0.60863
0.70843 0.68301 0.65873 0.63552 0.61332 0.59208 0.57175 0.55229 0.53365
0.51579
0.64993 0.62092 0.59345 0.56743 0.54276 0.51937 0.49718 0.47611 0.45611 0.43711
0.50663 0.48032 0.45559 0.43233 0.41044 0.38984 0.37043
0.45235 0.42506 0.39964 0.37594 0.35383
0.33320
0.31393
0.40388 0.37616 0.35056 0.32690 0.30503 0.28478 0.26604
0.36061 0.33288 0.30751 0.28426 0.26295 0.24340 0.22546
0.32197 0.29459 0.26974 0.24718 0.22668
0.20804
0.31728 0.28748 0.26070 0.23662 0.21494
0.28584 0.25668 0.23071 0.20756 0.18691
0.25751 0.22917 0.20416 0.18207 0.16253
0.23199 0.20462 0.18068 0.15971 0.14133
0.20900 0.18270 0.15989 0.14010 0.12289
0.19106
The values in Table 11-2 were generated by the formula PV =
n is the total number of periods.
0.45811
0.43630
1
(1 + i)"
0.47509 0.42888
0.44401 0.39711
0.46884 0.41496 0.36770
0.44230 0.38782 0.34046
0.41727
0.36245
0.31524
0.66634 0.63017
0.62275 0.58349
0.58201 0.54027
0.54393 0.50025
0.50835 0.46319
0.39365 0.33873 0.29189
0.37136 0.31657 0.27027
0.29586 0.25025
0.27651 0.23171
0.25842 0.21455
0.35034
0.39573 0.33051
0.31180
0.16312 0.14150 0.12289 0.10686 0.09304 0.08110 0.07078
0.14564 0.12522 0.10780 0.09293 0.08021 0.06932 0.05998
0.13004 0.11081 0.09456 0.08081 0.06914 0.05925 0.05083
0.11611 0.09806 0.08295 0.07027 0.05961 0.05064 0.04308
0.10367 0.08678 0.07276 0.06110 0.05139 0.04328 0.03651
0.09256 0.07680 0.06383
0.05313 0.04430 0.03699 0.03094
0.08264 0.06796 0.05599 0.04620 0.03819 0.03162 0.02622
0.11168 0.09069 0.07379 0.06014 0.04911 0.04017 0.03292 0.02702 0.02222
0.12640 0.10153 0.08170 0.06588 0.05323 0.04308 0.03493 0.02838 0.02310 0.01883
0.11597 0.09230 0.07361 0.05882 0.04710 0.03779 0.03038 0.02447 0.01974
0.01596
0.13513
0.11174
0.12285
0.10067
0.13778
0.15770
0.14602
0.19542 0.17781 0.16192
0.16846 0.15197 0.13722
0.14523 0.12989 0.11629
0.12520 0.11102 0.09855
0.10793 0.09489 0.08352
Periods
1
2
3
4
5
6
7
8
9
10
HDDHD 95%98
18
21
25
Periods
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
rounded to five decimal places, where i is the interest rate per period and
Transcribed Image Text:Periods 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Periods 1 2 3 4 5 6 Prag HDINS DE 2 7 12 14 19 20 21 22 23 24 25 0.99502 0.99007 0.98030 0.98515 0.97059 0.98025 0.96098 0.97537 0.95147 0.97052 0.96569 0.96089 0.95610 0.95135 1% 1/1/% 2% 0.99010 0.98522 0.98039 0.90056 0.89608 0.89162 0.94205 0.93272 0.92348 0.91434 0.90529 0.94661 0.89632 0.84893 0.80426 0.94191 0.88745 0.83639 0.78849 0.93722 0.87866 0.82403 0.77303 0.93256 0.86996 0.81185 0.75788 0.92792 0.86135 0.79985 0.74301 0.92330 0.91871 0.84438 0.85282 0.78803 0.77639 0.83602 0.76491 0.90959 0.82774 0.75361 0.91414 0.90506 0.81954 0.74247 3% 4% 5% 6% 7% 8% 0.93458 0.92593 0.97087 0.96154 0.94260 0.92456 0.95238 0.94340 0.97066 0.96117 0.90703 0.89000 0.87344 0.85734 0.95632 0.94232 0.91514 0.88900 0.86384 0.83962 0.81630 0.79383 0.94218 0.92385 0.88849 0.85480 0.82270 0.79209 0.76290 0.73503 0.92826 0.90573 0.86261 0.82193 0.78353 0.74726 0.71299 0.68058 0.91454 0.88797 0.83748 0.90103 0.87056 0.88771 0.85349 0.87459 0.83676 0.86167 0.82035 0.59627 0.56447 0.54703 0.51316 0.50187 0.46651 0.46043 0.42410 0.42241 0.38554 0.16370 0.15018 0.81143 0.73150 0.80340 0.72069 0.79544 0.71004 0.88719 0.78757 0.69954 0.88277 0.77977 0.38753 0.35049 0.35553 0.31863 0.32618 0.28966 0.29925 0.26333 0.27454 0.23939 0.25187 0.21763 0.23107 0.19784 0.21199 0.17986 0.19449 0.16351 0.17843 0.14864 0.72845 0.71416 0.53464 0.48166 0.43393 0.39092 0.35218 0.70016 0.68643 0.67297 0.18829 0.16963 0.15282 0.13768 0.12403 0.81309 0.75992 0.78941 0.73069 0.76642 0.74409 0.67556 0.72242 0.64958 0.70138 0.68095 0.60057 0.53032 0.66112 0.57748 0.50507 0.64186 0.55526 0.48102 0.62317 0.60502 0.79031 0.74622 0.70496 0.71068 0.66506 0.67684 0.62741 0.70259 0.64461 0.59190 0.61391 0.55839 0.53391 0.51337 0.58739 0.49363 0.41552 0.57029 0.47464 0.55368 0.45639 0.37689 0.58468 0.52679 0.62460 0.55684 0.49697 0.65978 0.53755 0.43883 0.35894 0.29416 0.24151 0.19866 0.64684 0.52189 0.42196 0.34185 0.27751 0.22571 0.18394 0.63416 0.50669 0.40573 0.32557 0.26180 0.21095 0.17032 0.62172 0.49193 0.39012 0.31007 0.24698 0.19715 0.68921 0.60953 0.47761 0.37512 0.29530 0.23300 0.18425 15% 0.86957 0.75614 0.65752 9% 10% 11% 12% 13% 14% 16% 17% 18% 0.91743 0.90909 0.90090 0.89286 0.88496 0.87719 0.86207 0.85470 0.84746 0.84168 0.82645 0.81162 0.79719 0.78315 0.76947 0.74316 0.73051 0.71818 0.77218 0.75131 0.73119 0.71178 0.69305 0.67497 0.64066 0.62437 0.60863 0.70843 0.68301 0.65873 0.63552 0.61332 0.59208 0.57175 0.55229 0.53365 0.51579 0.64993 0.62092 0.59345 0.56743 0.54276 0.51937 0.49718 0.47611 0.45611 0.43711 0.50663 0.48032 0.45559 0.43233 0.41044 0.38984 0.37043 0.45235 0.42506 0.39964 0.37594 0.35383 0.33320 0.31393 0.40388 0.37616 0.35056 0.32690 0.30503 0.28478 0.26604 0.36061 0.33288 0.30751 0.28426 0.26295 0.24340 0.22546 0.32197 0.29459 0.26974 0.24718 0.22668 0.20804 0.31728 0.28748 0.26070 0.23662 0.21494 0.28584 0.25668 0.23071 0.20756 0.18691 0.25751 0.22917 0.20416 0.18207 0.16253 0.23199 0.20462 0.18068 0.15971 0.14133 0.20900 0.18270 0.15989 0.14010 0.12289 0.19106 The values in Table 11-2 were generated by the formula PV = n is the total number of periods. 0.45811 0.43630 1 (1 + i)" 0.47509 0.42888 0.44401 0.39711 0.46884 0.41496 0.36770 0.44230 0.38782 0.34046 0.41727 0.36245 0.31524 0.66634 0.63017 0.62275 0.58349 0.58201 0.54027 0.54393 0.50025 0.50835 0.46319 0.39365 0.33873 0.29189 0.37136 0.31657 0.27027 0.29586 0.25025 0.27651 0.23171 0.25842 0.21455 0.35034 0.39573 0.33051 0.31180 0.16312 0.14150 0.12289 0.10686 0.09304 0.08110 0.07078 0.14564 0.12522 0.10780 0.09293 0.08021 0.06932 0.05998 0.13004 0.11081 0.09456 0.08081 0.06914 0.05925 0.05083 0.11611 0.09806 0.08295 0.07027 0.05961 0.05064 0.04308 0.10367 0.08678 0.07276 0.06110 0.05139 0.04328 0.03651 0.09256 0.07680 0.06383 0.05313 0.04430 0.03699 0.03094 0.08264 0.06796 0.05599 0.04620 0.03819 0.03162 0.02622 0.11168 0.09069 0.07379 0.06014 0.04911 0.04017 0.03292 0.02702 0.02222 0.12640 0.10153 0.08170 0.06588 0.05323 0.04308 0.03493 0.02838 0.02310 0.01883 0.11597 0.09230 0.07361 0.05882 0.04710 0.03779 0.03038 0.02447 0.01974 0.01596 0.13513 0.11174 0.12285 0.10067 0.13778 0.15770 0.14602 0.19542 0.17781 0.16192 0.16846 0.15197 0.13722 0.14523 0.12989 0.11629 0.12520 0.11102 0.09855 0.10793 0.09489 0.08352 Periods 1 2 3 4 5 6 7 8 9 10 HDDHD 95%98 18 21 25 Periods 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 rounded to five decimal places, where i is the interest rate per period and
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