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xxTIMURxx [149]
3 years ago
6

A bank employee notices an abandoned checking account with a balance of $360. The bank charges a $9 monthly fee for the account.

What is the equation that gives the balance f(x) in dollars as a function of the number of months, x? What are the x and y intercepts?
Mathematics
2 answers:
LuckyWell [14K]3 years ago
6 0
<h2>Answer with explanation:</h2>

Given : A bank employee notices an abandoned checking account with a balance of $360. The bank charges a $9 monthly fee for the account.

let x be the number of months.

Then, the amount charged by bank in x months = 9x

Balance = Initial Balance - Amount charged in x months

=360-9x

The equation that gives the balance f(x) in dollars as a function of the number of months, x : f(x)=360-9x

For x-intercept, put f(x)=0

360-9x=0\\\\ 9x=360\\\\x=40  [divide both sides by 9.]

x-intercept : (40,0)

For y-intercept, put  x=0

f(0)=360

y-intercept : (0,360)

alexdok [17]3 years ago
4 0
F(x) is another way of saying y.

360-9x=y

You would then graph the equations and list the ordered pairs that line crosses on the x-axis and the y-axis.
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This tells us that:

A=\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right]

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Step-by-step explanation:

So we are saying we have scalars, c and d, such that:

c\left[\begin{array}{ccc}5\\5\\ 3\end{array}\right]+d\left[\begin{array}{ccc}7\\-8\\-9\end{array}\right]=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right].

So we want to find a way to express this as:

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So we can write this as:

\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]

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