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Inga [223]
3 years ago
9

Solve the matrix equation X-A=B for X if A= [8, -2, -3, 9, -1, 5] and B= [0, 7, 2 -3, -7, -1]

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

If <em>X</em> - <em>A</em> = <em>B</em>, then <em>X</em> = <em>A</em> + <em>B</em>. So

X = \begin{bmatrix}8&-2\\-3&9\\-1&5\end{bmatrix} + \begin{bmatrix}0&7\\2&-3\\-7&-1\end{bmatrix} \\\\ X = \begin{bmatrix}8+0&-2+7\\-3+2&9-3\\-1-7&5-1\end{bmatrix} \\\\ X = \begin{bmatrix}8&5\\-1&6\\-8&4\end{bmatrix}

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kiruha [24]

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A right triangle

Step-by-step explanation:

The answer is a right triangle because it has a right angle. A right angle is 90 degrees

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3 years ago
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?????????????????????????
Monica [59]

Answer:

Interest earned = $32.835

Step-by-step explanation:

Given the following data;

Principal = $275

Number of times = 0.5

Interest rate = 2.9% = 0.029

Time = 4 years

To find the interest earned, we would use the compound interest formula;

A = P(1 + \frac{r}{n})^{nt}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 275(1 + \frac{0.029}{0.5})^{0.5*4}

A = 275(1 + 0.058)^{2}

A = 275(1.058)^{2}

A = 275(1.1194)

A = $307.835

Interest earned = 307.835 - 275

Interest earned = $32.835

5 0
3 years ago
Dina invests $600 for 5 years at a rate of 2% per year compound interest.
Aleks [24]

Answer:

The value of this investment at the end of the 5 years is of $662.5.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

This means that P = 600, t = 5, r = 0.02, n = 1. Thus

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 600(1 + \frac{0.02}{1})^{t}

A(t) = 600(1.02)^t

Calculate the value of this investment at the end of the 5 years.

This is A(5). So

A(5) = 600(1.02)^5 = 662.5

The value of this investment at the end of the 5 years is of $662.5.

5 0
3 years ago
How can i solve this
lana66690 [7]
X+3-2x+5=10
+2x +2x
3x+ 3 + 5 = 10
-3 -3
3x + 5 = 7
-5 -5
3x=2
x=1.5
I hope all is well, and I helped! (: Good luck, rockstar!
8 0
3 years ago
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