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Invoice Mathematician in Tanzania Dar es Salaam –Free Word Template Download with AI

Professional Mathematician Consultation & Analytical Services

Issued in Tanzania Dar es Salaam, United Republic of Tanzania

INVOICE NO: TZ-DSM-MATH-2025-0472

Mathematician (Service Provider)

Name: Dr. Amina J. Mwangi, Ph.D. in Applied Mathematics

Title: Senior Mathematician & Quantitative Analyst

Address: Plot 14, Mbezi Beach Road, Masaki, Tanzania Dar es Salaam

Phone: +255 754 123 456

Email: [email protected]

TIN: 123-456-789-K

Professional License: TMB-2019-0045 (Tanzania Mathematical Board)

Client (Bill To)

Company: Tanzania National Infrastructure Development Authority (TANIDA)

Attention: Mr. Joseph K. Mushi, Chief Operations Officer

Address: TANIDA House, Sam Nujoma Street, Kariakoo, Tanzania Dar es Salaam

Phone: +255 22 211 8900

Email: [email protected]

TIN: 987-654-321-L

Invoice Details

Invoice Date: 15 June 2025

Due Date: 30 June 2025 (15 days from issuance)

Payment Terms: Net 15, Bank Transfer

Currency: Tanzanian Shilling (TZS)

Project Reference

Project: Structural Load Modelling for Coastal Road Expansion

Contract No: TANIDA/CON/2025/0118

Phase: Phase II – Advanced Computational Analysis

Location of Work: Tanzania Dar es Salaam, Pwani Region

This Invoice is issued by the undersigned Mathematician, Dr. Amina J. Mwangi, in her capacity as a retained quantitative consultant to TANIDA. The services described below were performed in Tanzania Dar es Salaam between 1 March 2025 and 10 June 2025. The Mathematician provided advanced mathematical modelling, statistical analysis, and computational problem-solving directly related to the structural integrity assessment of the proposed coastal road expansion corridor in the Pwani Region.

# Service Description Quantity Rate (TZS) Amount (TZS) Date
1 Mathematician-led finite element analysis for bridge load-bearing calculations (Coastal Road Segment A, Dar es Salaam–Tanga corridor) 48 hours 250,000 12,000,000 01–15 Mar 2025
2 Development of stochastic differential equations for soil erosion modelling along the Tanzania Dar es Salaam coastline 32 hours 250,000 8,000,000 16 Mar–05 Apr 2025
3 Mathematician consultation and peer review of engineering design documents (on-site at TANIDA offices, Kariakoo, Tanzania Dar es Salaam) 16 hours 300,000 4,800,000 06–12 Apr 2025
4 Optimization modelling (linear and non-linear programming) for traffic flow simulation on the expanded road network 40 hours 250,000 10,000,000 13 Apr–10 May 2025
5 Preparation of final mathematical report, including derivations, proofs of convergence, and sensitivity analysis for the project committee 24 hours 275,000 6,600,000 11 May–10 Jun 2025
6 Travel and accommodation expenses within Tanzania Dar es Salaam (field surveys at Mikochi and Kigamboni sites) 6 days 180,000 1,080,000 Various
Subtotal TZS 42,480,000
VAT (18% – Tanzania Revenue Authority) TZS 7,646,400
Withholding Tax (5% – as per Tanzania tax law) TZS (2,124,000)
Grand Total Due TZS 47,002,800

Payment Instructions & Notes

Bank: National Bank of Commerce, Tanzania Dar es Salaam Main Branch

Account Name: Dr. Amina J. Mwangi – Mathematical Consulting Services

Account Number: 0102-3456-7890-12

SWIFT Code: NBOC TZ DX

Reference: Please quote Invoice No. TZ-DSM-MATH-2025-0472 on all payments.

Important: This Invoice must be settled within fifteen (15) calendar days of the issue date. Late payments shall attract a penalty of 2% per month as stipulated in the service agreement between the Mathematician and TANIDA. All calculations, models, and analytical deliverables referenced in this Invoice remain the intellectual property of the Mathematician unless otherwise stated in the master contract. The Mathematician confirms that all services were rendered in full compliance with the professional standards set by the Tanzania Mathematical Board and the Tanzania Engineering Council.

Authorized Signatory (Mathematician):

_______________________________

Dr. Amina J. Mwangi, Ph.D.

Senior Mathematician & Quantitative Analyst

Tanzania Dar es Salaam, 15 June 2025

This Invoice was generated and issued in Tanzania Dar es Salaam, United Republic of Tanzania. It constitutes a legally binding financial document under the Tanzania Commercial Code. The Mathematician named herein is registered with the Tanzania Mathematical Board (License TMB-2019-0045) and operates in full compliance with all applicable national regulations governing professional services in Tanzania Dar es Salaam.

© 2025 Dr. Amina J. Mwangi – Mathematical Consulting Services, Tanzania Dar es Salaam. All rights reserved. Invoice TZ-DSM-MATH-2025-0472.

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