| 1. |
info: 2025-04-26 01:28:16.765 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
16ms [Parameters=[@p7='dfa51622-a328-4950-aab8-c564667b33bb', @p0='True', @p1='False', @p2='4', @p3='53e1e328-f850-4235-96a2-ebd22b1ed38c', @p4='34.jpg' (Size = 100), @p5='https://knowledgenest.blob.core.windows.net/scanners/0/[Matematika][Horizontai Matematika 10 klasė][Vadovėlis 1 dalis]/pages/34.jpg' (Size = 1000), @p6='1,1² = 1,21,
1,1³ = 1,331,
...
1,1¹⁴ ≈ 3,8,
1,1¹⁵ ≈ 4,2.
Atsakymas. Po 15 metų.
Po 14 metų dar nebus 1000 000 m³ medienos, o po 15 metų šis kiekis jau bus viršytas. Atsakyme rašome pilnų metų skaičių.
**4. Keliais procentais kasmet turi padidėti medienos kiekis, kad po dvejų metų sklype būtų 313 600 m³ medienos?**
Duota: S = 250 000, S₂ = 313 600, n = 2.
Rasti: p.
Sprendimas
Reikia apskaičiuoti, keliais procentais turi būti didinamas pradinis dydis.
Į sudėtinių procentų formulę įrašome žinomas dydžių reikšmes.
Išreiškiame dydį (1 + p/100)².
313 600 = 250 000 · (1 + p/100)²
(1 + p/100)² = 313 600 / 250 000
(1 + p/100)² = 1,2544.
Reikia sužinoti, kokį teigiamąjį skaičių pakėlę kvadratu gausime 1,2544.
Skaičiuotuvu skaičiuojame, kokį teigiamąjį skaičių reikia pakelti kvadratu, kad gautume 1,2544, t. y. ištraukiame kvadratinę šaknį.
1 + p/100 = 1,12, nes 1 + p/100 > 0,
p/100 = 1,12 - 1,
p/100 = 0,12 | · 100,
p = 12.
Išsprendžiame gautą lygtį.
Atsakymas. 12 %.
**1. Miesto centre esantį biuro pastatą bendrovė įsigijo už B Eur. Kasmet pastato vertė padidėja p %. B\_n - biuro pastato vertė po n metų. Sąsiuvinyje persibraižykite šią lentelę ir ją užpildykite:**
| | B | p | n | B\_n |
| :-- | :---------- | :--- | :------- | :----------- |
| a) | 125 000 Eur | 3 % | 10 metų | |
| b) | | 8 % | 5 metai | 66 120 Eur |
| c) | 78 000 Eur | 4,5% | | 93 016,45 Eur|
| d) | 200 000 Eur | | 8 metai | 220 026 Eur |
**2. Miškų urėdijos teritorijoje kasmet sodinamos eglutės ir per dvejus metus eglynų plotas padidėjo 44 %. Kiek procentų padidėdavo eglynų plotas kiekvienais metais, jeigu šis procentas ir pirmaisiais, ir antraisiais metais buvo toks pat?**' (Size = 4000)], CommandType='Text', CommandTimeout='30']
SET IMPLICIT_TRANSACTIONS OFF;
SET NOCOUNT ON;
UPDATE [ScannerPages] SET [Active] = @p0, [Deleted] = @p1, [Position] = @p2, [ScannerId] = @p3, [StorageMediaName] = @p4, [StorageMediaUrl] = @p5, [Text] = @p6
OUTPUT 1
WHERE [Id] = @p7;
|
| 2. |
info: 2025-04-26 01:28:17.628 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
2ms [Parameters=[@__id_0='7527b116-5c05-923a-1c47-2ff546065e72', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [c].[Id], [c].[Active], [c].[Deleted], [c].[Description], [c].[DescriptionBackup], [c].[Left], [c].[ParentId], [c].[Position], [c].[ProcessorGenerateImagePrompt], [c].[Right], [c].[SiteId], [c].[StorageMediaName], [c].[StorageMediaUrl], [c].[Title], [c].[TitleBackup], [c].[TitleSlug], [c].[TotalChildren], [c].[TotalScanners], [c].[TotalYoutubeVideos]
FROM [Categories] AS [c] WITH (NOLOCK)
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id]
|
| 3. |
info: 2025-04-26 01:28:17.638 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
2ms [Parameters=[@__id_0='7527b116-5c05-923a-1c47-2ff546065e72', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [c4].[Id], [c4].[Active], [c4].[Deleted], [c4].[Description], [c4].[DescriptionBackup], [c4].[Left], [c4].[ParentId], [c4].[Position], [c4].[ProcessorGenerateImagePrompt], [c4].[Right], [c4].[SiteId], [c4].[StorageMediaName], [c4].[StorageMediaUrl], [c4].[Title], [c4].[TitleBackup], [c4].[TitleSlug], [c4].[TotalChildren], [c4].[TotalScanners], [c4].[TotalYoutubeVideos], [c].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c0].[Id], [c0].[Active], [c0].[Deleted], [c0].[Description], [c0].[DescriptionBackup], [c0].[Left], [c0].[ParentId], [c0].[Position], [c0].[ProcessorGenerateImagePrompt], [c0].[Right], [c0].[SiteId], [c0].[StorageMediaName], [c0].[StorageMediaUrl], [c0].[Title], [c0].[TitleBackup], [c0].[TitleSlug], [c0].[TotalChildren], [c0].[TotalScanners], [c0].[TotalYoutubeVideos]
FROM [Categories] AS [c0] WITH (NOLOCK)
WHERE [c0].[Active] = CAST(1 AS bit) AND [c0].[Deleted] = CAST(0 AS bit)
) AS [c4] ON [c].[Id] = [c4].[ParentId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [c4].[Position], [c4].[Id]
|
| 4. |
info: 2025-04-26 01:28:17.682 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
10ms [Parameters=[@__id_0='7527b116-5c05-923a-1c47-2ff546065e72', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [c5].[Id], [c5].[Active], [c5].[Deleted], [c5].[Description], [c5].[DescriptionBackup], [c5].[Left], [c5].[ParentId], [c5].[Position], [c5].[ProcessorGenerateImagePrompt], [c5].[Right], [c5].[SiteId], [c5].[StorageMediaName], [c5].[StorageMediaUrl], [c5].[Title], [c5].[TitleBackup], [c5].[TitleSlug], [c5].[TotalChildren], [c5].[TotalScanners], [c5].[TotalYoutubeVideos], [c].[Id], [c4].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c0].[Id], [c0].[ParentId], [c0].[Position]
FROM [Categories] AS [c0] WITH (NOLOCK)
WHERE [c0].[Active] = CAST(1 AS bit) AND [c0].[Deleted] = CAST(0 AS bit)
) AS [c4] ON [c].[Id] = [c4].[ParentId]
INNER JOIN (
SELECT [c1].[Id], [c1].[Active], [c1].[Deleted], [c1].[Description], [c1].[DescriptionBackup], [c1].[Left], [c1].[ParentId], [c1].[Position], [c1].[ProcessorGenerateImagePrompt], [c1].[Right], [c1].[SiteId], [c1].[StorageMediaName], [c1].[StorageMediaUrl], [c1].[Title], [c1].[TitleBackup], [c1].[TitleSlug], [c1].[TotalChildren], [c1].[TotalScanners], [c1].[TotalYoutubeVideos]
FROM [Categories] AS [c1] WITH (NOLOCK)
WHERE [c1].[Active] = CAST(1 AS bit) AND [c1].[Deleted] = CAST(0 AS bit)
) AS [c5] ON [c4].[Id] = [c5].[ParentId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [c4].[Position], [c4].[Id], [c5].[Position]
|
| 5. |
info: 2025-04-26 01:28:17.686 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
2ms [Parameters=[@__id_0='7527b116-5c05-923a-1c47-2ff546065e72', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [s3].[ScannerId], [s3].[CategoryId], [s3].[Id], [s3].[Active], [s3].[CheatSheet], [s3].[CheatSheet2], [s3].[Deleted], [s3].[FactErrors], [s3].[FactErrorsExplanation], [s3].[ParentCategory2Id], [s3].[ParentCategoryId], [s3].[ProcessorGenerateImagePrompt], [s3].[Prompt], [s3].[Reference], [s3].[ReferenceSlug], [s3].[SiteId], [s3].[SpellingErrors], [s3].[SpellingErrorsExplanation], [s3].[Summary], [s3].[Title], [s3].[TitleBackup], [s3].[TitleSlug], [s3].[TotalCards], [s3].[TotalCards2], [s3].[TotalCategories], [s3].[TotalPages], [s3].[Verified], [c].[Id], [c4].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c0].[Id], [c0].[ParentId], [c0].[Position]
FROM [Categories] AS [c0] WITH (NOLOCK)
WHERE [c0].[Active] = CAST(1 AS bit) AND [c0].[Deleted] = CAST(0 AS bit)
) AS [c4] ON [c].[Id] = [c4].[ParentId]
INNER JOIN (
SELECT [c2].[ScannerId], [c2].[CategoryId], [s].[Id], [s].[Active], [s].[CheatSheet], [s].[CheatSheet2], [s].[Deleted], [s].[FactErrors], [s].[FactErrorsExplanation], [s].[ParentCategory2Id], [s].[ParentCategoryId], [s].[ProcessorGenerateImagePrompt], [s].[Prompt], [s].[Reference], [s].[ReferenceSlug], [s].[SiteId], [s].[SpellingErrors], [s].[SpellingErrorsExplanation], [s].[Summary], [s].[Title], [s].[TitleBackup], [s].[TitleSlug], [s].[TotalCards], [s].[TotalCards2], [s].[TotalCategories], [s].[TotalPages], [s].[Verified]
FROM [CategoryScanners] AS [c2]
INNER JOIN [Scanners] AS [s] ON [c2].[ScannerId] = [s].[Id]
WHERE [s].[Active] = CAST(1 AS bit) AND [s].[Deleted] = CAST(0 AS bit)
) AS [s3] ON [c4].[Id] = [s3].[CategoryId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [c4].[Position], [c4].[Id], [s3].[Id], [s3].[ScannerId], [s3].[CategoryId]
|
| 6. |
info: 2025-04-26 01:28:17.706 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
3ms [Parameters=[@__id_0='7527b116-5c05-923a-1c47-2ff546065e72', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [s4].[Id], [s4].[Active], [s4].[Context], [s4].[ContextBackup], [s4].[ContextStorageMediaName], [s4].[ContextStorageMediaUrl], [s4].[Deleted], [s4].[FactErrors], [s4].[FactErrorsExplanation], [s4].[Facts], [s4].[FactsBackup], [s4].[FactsStorageMediaName], [s4].[FactsStorageMediaUrl], [s4].[Position], [s4].[ProcessorGenerateImagePrompt], [s4].[Prompt], [s4].[ScannerId], [s4].[SpellingErrors], [s4].[SpellingErrorsExplanation], [s4].[StorageMediaName], [s4].[StorageMediaUrl], [s4].[Summary], [s4].[SummaryBackup], [s4].[SummaryStorageMediaName], [s4].[SummaryStorageMediaUrl], [s4].[Title], [s4].[TitleSlug], [s4].[TotalFillTheBlankSelectionQuestions], [s4].[TotalMultipleSelectionQuestions], [s4].[TotalOrderingQuestions], [s4].[TotalQuestionPoints], [s4].[TotalQuestions], [s4].[TotalShortAnswerQuestions], [s4].[TotalSingleSelectionQuestions], [s4].[TotalSources], [s4].[TotalTrueFalseQuestions], [s4].[Verified], [s4].[Version], [c].[Id], [c4].[Id], [s3].[ScannerId], [s3].[CategoryId], [s3].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c0].[Id], [c0].[ParentId], [c0].[Position]
FROM [Categories] AS [c0] WITH (NOLOCK)
WHERE [c0].[Active] = CAST(1 AS bit) AND [c0].[Deleted] = CAST(0 AS bit)
) AS [c4] ON [c].[Id] = [c4].[ParentId]
INNER JOIN (
SELECT [c2].[ScannerId], [c2].[CategoryId], [s].[Id]
FROM [CategoryScanners] AS [c2]
INNER JOIN [Scanners] AS [s] ON [c2].[ScannerId] = [s].[Id]
WHERE [s].[Active] = CAST(1 AS bit) AND [s].[Deleted] = CAST(0 AS bit)
) AS [s3] ON [c4].[Id] = [s3].[CategoryId]
INNER JOIN (
SELECT [s0].[Id], [s0].[Active], [s0].[Context], [s0].[ContextBackup], [s0].[ContextStorageMediaName], [s0].[ContextStorageMediaUrl], [s0].[Deleted], [s0].[FactErrors], [s0].[FactErrorsExplanation], [s0].[Facts], [s0].[FactsBackup], [s0].[FactsStorageMediaName], [s0].[FactsStorageMediaUrl], [s0].[Position], [s0].[ProcessorGenerateImagePrompt], [s0].[Prompt], [s0].[ScannerId], [s0].[SpellingErrors], [s0].[SpellingErrorsExplanation], [s0].[StorageMediaName], [s0].[StorageMediaUrl], [s0].[Summary], [s0].[SummaryBackup], [s0].[SummaryStorageMediaName], [s0].[SummaryStorageMediaUrl], [s0].[Title], [s0].[TitleSlug], [s0].[TotalFillTheBlankSelectionQuestions], [s0].[TotalMultipleSelectionQuestions], [s0].[TotalOrderingQuestions], [s0].[TotalQuestionPoints], [s0].[TotalQuestions], [s0].[TotalShortAnswerQuestions], [s0].[TotalSingleSelectionQuestions], [s0].[TotalSources], [s0].[TotalTrueFalseQuestions], [s0].[Verified], [s0].[Version]
FROM [ScannerCards] AS [s0]
WHERE [s0].[Active] = CAST(1 AS bit) AND [s0].[Deleted] = CAST(0 AS bit)
) AS [s4] ON [s3].[Id] = [s4].[ScannerId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [c4].[Position], [c4].[Id], [s3].[Id], [s3].[ScannerId], [s3].[CategoryId], [s4].[TitleSlug]
|
| 7. |
info: 2025-04-26 01:28:17.736 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
2ms [Parameters=[@__id_0='7527b116-5c05-923a-1c47-2ff546065e72', @__site_Id_1='63d6eb4e-8e39-4ac6-8f69-55ee76feccce'], CommandType='Text', CommandTimeout='30']
SELECT [s5].[ScannerId], [s5].[CategoryId], [s5].[Id], [s5].[Active], [s5].[CheatSheet], [s5].[CheatSheet2], [s5].[Deleted], [s5].[FactErrors], [s5].[FactErrorsExplanation], [s5].[ParentCategory2Id], [s5].[ParentCategoryId], [s5].[ProcessorGenerateImagePrompt], [s5].[Prompt], [s5].[Reference], [s5].[ReferenceSlug], [s5].[SiteId], [s5].[SpellingErrors], [s5].[SpellingErrorsExplanation], [s5].[Summary], [s5].[Title], [s5].[TitleBackup], [s5].[TitleSlug], [s5].[TotalCards], [s5].[TotalCards2], [s5].[TotalCategories], [s5].[TotalPages], [s5].[Verified], [c].[Id]
FROM [Categories] AS [c] WITH (NOLOCK)
INNER JOIN (
SELECT [c3].[ScannerId], [c3].[CategoryId], [s1].[Id], [s1].[Active], [s1].[CheatSheet], [s1].[CheatSheet2], [s1].[Deleted], [s1].[FactErrors], [s1].[FactErrorsExplanation], [s1].[ParentCategory2Id], [s1].[ParentCategoryId], [s1].[ProcessorGenerateImagePrompt], [s1].[Prompt], [s1].[Reference], [s1].[ReferenceSlug], [s1].[SiteId], [s1].[SpellingErrors], [s1].[SpellingErrorsExplanation], [s1].[Summary], [s1].[Title], [s1].[TitleBackup], [s1].[TitleSlug], [s1].[TotalCards], [s1].[TotalCards2], [s1].[TotalCategories], [s1].[TotalPages], [s1].[Verified]
FROM [CategoryScanners] AS [c3]
INNER JOIN [Scanners] AS [s1] ON [c3].[ScannerId] = [s1].[Id]
WHERE [s1].[Active] = CAST(1 AS bit) AND [s1].[Deleted] = CAST(0 AS bit)
) AS [s5] ON [c].[Id] = [s5].[CategoryId]
WHERE [c].[Id] = @__id_0 AND [c].[SiteId] = @__site_Id_1 AND [c].[Active] = CAST(1 AS bit) AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Id], [s5].[Id], [s5].[ScannerId], [s5].[CategoryId]
|
| 8. |
info: 2025-04-26 01:28:17.809 RelationalEventId.CommandExecuted[20101] (Microsoft.EntityFrameworkCore.Database.Command)
7ms [Parameters=[@__site_Id_0='63d6eb4e-8e39-4ac6-8f69-55ee76feccce', @__item_Left_1='5407', @__item_Right_2='5416'], CommandType='Text', CommandTimeout='30']
SELECT [c].[Id], [c].[Active], [c].[Deleted], [c].[Description], [c].[DescriptionBackup], [c].[Left], [c].[ParentId], [c].[Position], [c].[ProcessorGenerateImagePrompt], [c].[Right], [c].[SiteId], [c].[StorageMediaName], [c].[StorageMediaUrl], [c].[Title], [c].[TitleBackup], [c].[TitleSlug], [c].[TotalChildren], [c].[TotalScanners], [c].[TotalYoutubeVideos]
FROM [Categories] AS [c] WITH (NOLOCK)
WHERE [c].[SiteId] = @__site_Id_0 AND [c].[Left] <= @__item_Left_1 AND [c].[Right] >= @__item_Right_2 AND [c].[Deleted] = CAST(0 AS bit)
ORDER BY [c].[Left]
|
| 44 ms |
