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Kipish [7]
2 years ago
14

If the simple interest on $5,000 for 4 years is $1,600, then what is the interest rate?

Mathematics
1 answer:
matrenka [14]2 years ago
8 0

Answer:

0.08, or 8%

Step-by-step explanation:

The appropriate formula is i = p*r*t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

We want to calculate r when i, p and t are known.

                                                           i

Solving i = p*r*t for r, we get r = ------------

                                                       p*t

The interest rate in this case is

        $1600

r = ---------------- = 0.08, or 8%

      $5000*4

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Entries of I^k are are also identity elements.

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a) For the 2×2 identity matrix I, show that I² =I

I^{2}=\left[\begin{array}{cc}1&0\\0&1\end{array}\right] \times \left[\begin{array}{cc}1&0\\0&1\end{array}\right] \\\\=\left[\begin{array}{cc}1\times 1+0\times 0&1\times 0+0\times 1\\0\times 1+1\times 0&0\times 0+1\times1\end{array}\right] \\\\=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]

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b) For the n×n identity matrix I, show that I² =I

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\delta I_{ij}=1\quad if\quad i=j\\\delta I_{ij}=0\quad if\quad i\ne j\\

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(c) what do you think the enteries of Ik are?

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\delta I_{ij}=1\quad if\quad i=j\\\delta I_{ij}=0\quad if\quad i\ne j\\

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