A(n) is a document that formally recognizes the existence of a project and provides direction on the project’s objectives and management.

A. balanced scorecard
B. business case
C. net present value analysis
D. project charter

D. project charter

Explanation:

A project charter, is responsible for stating participants, their respective roles, directions and main goals in a project. The project charter must contain the essence of a project and act as a contract between all parties involved, thus, recognizing the project's existence.

Therefore, the answer is D. project charter.

D. project charter

Explanation: The major reason of a project charter is to mark the formal authorization of a project and the greenlight to commit organizational resources to the said project. A project isn’t a project until the project charter is approved which is to say that without a project charter, the project can be canceled anytime and for any reason and can be subject to an audit as an unauthorized project. A project charter is a formal, typically short document that describes your project in its entirety — covering the scope the project, objectives, what it will achieve, the people involved, milestones, budget, and possible risks.

The project charter serves to ensure that the project sponsors and all stakeholders are in alignment on a project, that the project manager understands the sponsor's needs and requirements, while providing vital information as a reference document vital to getting the project started.

of the three mortgage options that demarco and tanya have to choose from, the balloon payment mortgage would be their best option, over adjustable payment and fixed payment plans.ultimately, the balloon payment plan would save demarco and tanya overall, in interest, would cost less monthly, and they would only have to make these payments for 8 years, opposing to 30 years for adjustable or fixed payment plans. 

overall, demarco and tanya would save $80,811 if they chose balloon payments over fixed payments, and would save $116,711 if they choose balloon payments over adjustable payments. benefits with choosing fixed payments over adjustable payments is that, in the end, the payments will still be $836.30 a month, while with adjustable payments, the initial monthly payments will be $763.38 to $1082.70 a month, ultimately leading to a more costly purchase. benefits with choosing fixed payments over balloon payments are not present. benefits in choosing adjustable payments over is that it has a lower interest rate, and starts with lower monthly payments initially. benefits in choosing adjustable payments over balloon payments include a lower interest rate, and lower initial monthly payments. benefits in choosing balloon payments over fixed payments include lower interest rates, lower overall price, lower monthly payments, takes less time to pay off, and does not require a downpayment. benefits in choosing balloon payments over adjustable payments include, lower monthly payments (when averaged), takes less time to pay off, and lower overall price.

hence, option c, balloon payments, is the best option for demarco and tanya to make this purchase, for it will save them a minimum of $80811, and a maximum of $116,711.