Identify the type of savings fund that is best suited for each situation,

Mathematics

1 answer:

Snezhnost [94]3 years ago

4 0

Answer:

Step-by-step explanation:

1. Sinking Fund: Expenses like these are predictable. You know exactly when they’re going to come due, and you know at least approximately how much they’re going to cost"

So we have: down payment for a car, saving to start a business, saving for a college education

2. Rainy-Day Fund: unexpected expense you have to pay,

So we have: plumbing expenses, paying to fix a broken air conditioner, unexpected travel expense, plumbing expenses

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$W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}$

Observe that if the vector $x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ is in W then it satisfies:

$\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]$

This means that each vector in W can be expressed as a linear combination of the vectors $\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]$