1
00:00:00,000 --> 00:00:08,220
...

2
00:00:08,220 --> 00:00:11,390
အရင္ဗြီဒီယုိမွာ တုံးက ထပ္ဆင့္တုိး အေၾကာင္းေၿပာၿပီးပါၿပီ

3
00:00:11,390 --> 00:00:15,480
ဥပမာ အေနနဲ႕ႏွစ္တုိး တြက္ခဲ့ပါတယ္

4
00:00:15,480 --> 00:00:17,830
ေန႔တုိး (ဆက္တုိက္ ထပ္တုိး) အေနနဲ႔မတြက္ခဲ့ပါဘူး

5
00:00:17,830 --> 00:00:18,790
ဘဏ္ေတြက ေန႔တုိး သုံးတာပါ

6
00:00:18,790 --> 00:00:21,390
အဲဒီမွာၿပခဲ့တာက ေတာ့ သေဘာတရားက

7
00:00:21,390 --> 00:00:22,290
လြယ္ပါတယ္

8
00:00:22,290 --> 00:00:25,040
ႏွစ္တုိင္းႏွစ္တုိင္း အတုိး ၁၀% ႏႈန္းရခဲ႔မယ္ဆုိရင္

9
00:00:25,040 --> 00:00:25,650
...

10
00:00:25,650 --> 00:00:28,720
အဲဒီသေဘာတရားကုိ ထပ္ဆင့္တုိး

11
00:00:28,720 --> 00:00:31,900
(အရင္းနဲ႔ အတုိးေပၚမွာတြက္တဲ့ အတုိး)

12
00:00:31,900 --> 00:00:35,300
လုိ႔ေခၚပါတယ္

13
00:00:35,300 --> 00:00:37,470
သေဘာတရားက လြယ္ကူေပမဲ့

14
00:00:37,470 --> 00:00:40,290
တြက္ခ်က္ရတာေတာ့

15
00:00:40,290 --> 00:00:41,420
ထင္သေလာက္မလြယ္ပါဘူး

16
00:00:41,420 --> 00:00:44,950
ဂဏန္းတြက္စက္ရွိရင္ေတာ့

17
00:00:44,950 --> 00:00:46,870
တြက္ရတာလြယ္ကူပါတယ္

18
00:00:46,870 --> 00:00:50,550
စိတ္တြက္တြက္ဖုိ႔ေတာ့ သိပ္မလြယ္ကူလွပါ

19
00:00:50,550 --> 00:00:53,640
ေရွ႕ကဗြီဒီယုိမွာ

20
00:00:53,640 --> 00:00:54,700
ေငြ ၁၀၀ ကုိ ဥပမာထားၿပီး တြက္ခဲ့ပါတယ္

21
00:00:54,700 --> 00:00:57,860
တစ္ႏွစ္မွာ အတုိး ၁၀%ႏႈန္းၿဖစ္တဲ့ အတြက္ ဒီက ၁ ပါ

22
00:00:57,860 --> 00:01:01,350
ပုိက္ဆံ ႏွစ္ဆ ၿဖစ္ဖုိ႕ ဘယ္ေလာက္ၾကာမလဲဆိုတဲ့

23
00:01:01,350 --> 00:01:02,910
ေမးခြန္းနဲ႔ အၿပီးသပ္ခဲ့ပါတယ္

24
00:01:02,910 --> 00:01:06,420
အဲဒီေမးခြန္းကုိ ေၿဖဖုိ႔ ဂဏန္းတြက္စက္

25
00:01:06,420 --> 00:01:08,110
ေတာ္ေတာ္မ်ားမ်ားမွာ log base ၁.၁ မရွိပါဘူး

26
00:01:08,110 --> 00:01:09,970
တၿခားဗြီဒီယုိ ေတြမွာၿပခဲ့ သလုိပါပဲ

27
00:01:09,970 --> 00:01:15,050
x = log ၁၀ (၂)

28
00:01:15,050 --> 00:01:18,610
log base ၁.၁ (၂) နဲ႔ စားပါမယ္

29
00:01:18,610 --> 00:01:23,900
ဒီနညး္က log base ၁.၁ (၂)

30
00:01:23,900 --> 00:01:27,620
ဒီတစ္ခုက log base ၁၀ (၁.၁)

31
00:01:27,620 --> 00:01:29,290
ကြ်န္ေတာ္ ဘာလုိ႔ဒီအေၾကာင္းေၿပာရသလဲဆုိရင္

32
00:01:29,290 --> 00:01:30,700
ဂဏန္းတြက္စက္ေတာ္ေတာ္မ်ားမ်ားက log base ၁၀ ပဲရွိတတ္လုိ႕ပါ

33
00:01:30,700 --> 00:01:32,620
ဒီႏွစ္ခုဟာ ညီမွ်ပါတယ္

34
00:01:32,620 --> 00:01:34,320
တၿခားဗြီဒီယုိေတြမွာ ၿပၿပီးပါၿပီ

35
00:01:34,320 --> 00:01:36,400
ဒီေနရာမွာ ကြ်န္ေတာ့္ပုိက္ဆံ အတုိးႏႈန္း ၁၀%နဲ႔တြက္ရင္

36
00:01:36,400 --> 00:01:38,020
ဘယ္ေလာက္ၾကာပါမလဲ

37
00:01:38,020 --> 00:01:39,690
ဒီဟာကုိ ဂဏန္းတြက္စက္ထဲမွာ

38
00:01:39,690 --> 00:01:41,860
ထဲ့တြက္ရပါမယ္

39
00:01:41,860 --> 00:01:43,210
တြက္ၾကည့္ပါစုိ႕

40
00:01:43,210 --> 00:01:46,030
ဒီမွာ ၂ရွိပါတယ္

41
00:01:46,030 --> 00:01:56,090
log ယူပါမယ္။ ၀.၃ ကုိ ၁.၁ နဲ႔စားပါမယ္

42
00:01:56,090 --> 00:01:57,950
ူlog ယူပါမယ္

43
00:01:57,950 --> 00:02:00,440
ကြင္းစပိတ္ရပါမယ္

44
00:02:00,440 --> 00:02:03,710
၇.၂၇ ႏွစ္ရပါမယ္

45
00:02:03,710 --> 00:02:06,350
၇.၃ လုိ႔သာ သတ္မွတ္ပါ

46
00:02:06,350 --> 00:02:10,410
...

47
00:02:10,410 --> 00:02:13,280
အရင္ဗြီဒီယုိမွာ ၿမင္ခဲ့ရတဲ့ အတုိင္းပါပဲ

48
00:02:13,280 --> 00:02:16,220
သေဘာတရားက လြယ္ေပမဲ့

49
00:02:16,220 --> 00:02:18,590
သခၤ်ာ တြက္ရတာ မလြယ္ကူလွပါ

50
00:02:18,590 --> 00:02:20,720
စိတ္တြက္ တြက္ဖုိ႔ မၿဖစ္ႏုိင္သေလာက္ ပါပဲ

51
00:02:20,720 --> 00:02:23,640
အဲဒီအတြက္ ကြ်န္ေတာ္က ခန္႔မွန္းေၿခအေၾကာင္း

52
00:02:23,640 --> 00:02:25,400
ေၿပာပါမယ္

53
00:02:25,400 --> 00:02:29,000
ပုိက္ဆံႏွစ္ဆ ၿဖစ္ေအာင္ဘယ္ေလာက္ၾကာပါမလဲ

54
00:02:29,000 --> 00:02:34,060
အဲဒီခန္႔မွန္းေၿခတြက္တာ ကုိ rule of 72 လုိ႔ေခၚပါတယ္

55
00:02:34,060 --> 00:02:37,380
တခါတေလ rule of 70 (သုိ႔) rule of 69 လုိ႔လဲေခၚပါတယ္

56
00:02:37,380 --> 00:02:41,350
ဒါေပဲ့ rule of 72 ကို

57
00:02:41,350 --> 00:02:43,900
အခ်ိန္အပုိင္းအၿခားအတိအက်နဲ႔

58
00:02:43,900 --> 00:02:45,000
ထပ္ဆတုိးတြက္ရင္ ပုိအသုံးမ်ားပါတယ္

59
00:02:45,000 --> 00:02:46,590
ဆက္တုိက္ထပ္ဆငိ့တုိး အေနနဲ႔တြက္ခ်င္မွ တြက္မွာပါ

60
00:02:46,590 --> 00:02:49,670
ဆက္တုိက္ ထပ္ဆင့္တုိး ဆုိရင္ ၆၉ (သုိ႔) ၇၀ ကပုိနီးစပ္ပါတယ္

61
00:02:49,670 --> 00:02:51,690
ကြ်န္ေတာ္ဘာေၿပာေနတာလဲ ဆုိတာခဏၾကာရင္ ၿပပါမယ္

62
00:02:51,690 --> 00:02:57,250
ဒီေမးခြန္းကုိပဲ ၿပန္ေၿဖပါမယ္

63
00:02:57,250 --> 00:02:58,500
ႏွစ္တုိးပါပဲ

64
00:02:58,500 --> 00:03:06,990
...

65
00:03:06,990 --> 00:03:10,470
rule of 72 သုံးၿပီးေၿဖရင္၊ ကြ်န္ေတာ့္ပုိက္ဆံ ႏွစ္ဆၿဖစ္ဖုိ႕

66
00:03:10,470 --> 00:03:11,740
ဘယ္ေလာက္ၾကာပါမလဲ

67
00:03:11,740 --> 00:03:16,500
rule of 72 ဆုိ၇င္ ၇၂ ကုိသာယူၿပီး

68
00:03:16,500 --> 00:03:18,570
အတုိးႏႈန္းနဲ႔ စားလုိက္ပါ

69
00:03:18,570 --> 00:03:20,780
ရာခုိင္ႏႈန္းက ၁၀ ၿဖစ္ပါတယ္

70
00:03:20,780 --> 00:03:22,780
ဒႆမ အေနနဲ႔ ေၿပာရရင္ ၀.၁ ပါ

71
00:03:22,780 --> 00:03:25,460
၁၀၀% ႏႈန္းရဲ႕ ၁၀% ၿဖစ္ပါတယ္

72
00:03:25,460 --> 00:03:27,490
၇၂ ကုိ ၁၀ နဲ႔စားရင္

73
00:03:27,490 --> 00:03:33,380
၇.၂ ရပါတယ္။ တစ္ႏွစ္တစ္ခါ အတုိးႏႈန္းၿဖစ္တဲ့ အတြက္ ၇.၂ ႏွစ္ပါ

74
00:03:33,380 --> 00:03:35,680
အကယ္၍သာ လတုိင္း ၁၀% ႏႈန္းသာဆုိရင္

75
00:03:35,680 --> 00:03:37,320
၇.၂ လ ပဲ ၿဖစ္ပါမယ္

76
00:03:37,320 --> 00:03:42,210
ဒီမွာ ရတဲ့ ၇.၂ ဟာကြ်န္ေတာ္တုိ႔ log နဲ႕တြက္ထားတဲ့

77
00:03:42,210 --> 00:03:44,910
အေၿဖနဲ႕အေတာ္ နီးစပ္ပါတယ္

78
00:03:44,910 --> 00:03:47,460
...

79
00:03:47,460 --> 00:03:49,230
ေနာက္ဥပမာ တစ္ပုဒ္နဲ႔ တြက္ပါမယ္

80
00:03:49,230 --> 00:03:55,420
ႏွစ္တုိင္း ၆% အတုိးရတယ္ဆုိပါစုိ႔

81
00:03:55,420 --> 00:04:04,370
...

82
00:04:04,370 --> 00:04:11,020
rule of 72 သုံးၿပီး၊ ၆ နဲ႔စားလုိက္ပါ

83
00:04:11,020 --> 00:04:14,465
၁၂ ခါရပါမယ္

84
00:04:14,465 --> 00:04:19,060
ဒီအေၿဖက ဘာကုိေၿပာသလဲ ဆုိရင္ ၆% အတုိးနဲ႕

85
00:04:19,060 --> 00:04:22,350
ပုိက္ဆံႏွစ္ဆၿဖစ္ဖုိ႕ ၁၂ ႏွစ္ၾကာပါမယ္။

86
00:04:22,350 --> 00:04:23,570
ဒီအေၿဖ မွန္မမွန္ကုိ ဆန္းစစ္ၾကည့္ပါမယ္

87
00:04:23,570 --> 00:04:26,530
အရင္ ကေၿပာထားတဲ့အတုိင္း

88
00:04:26,530 --> 00:04:30,490
x အတြက္အေၿဖရဖုိ႔