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velikii [3]
3 years ago
9

Let A= ????

Mathematics
1 answer:
hjlf3 years ago
7 0

Answer:

X = \begin{bmatrix}5 &-1 \\ -5 &4 \\2& -9\end{bmatrix}

Step-by-step explanation:

given,

A + X = Q

X = A - Q

A = \begin{bmatrix}3 &2 \\ -1 &5 \\3& -4\end{bmatrix}

Q =  \begin{bmatrix}-2 &3\\ 4 &1 \\ 1&-5\end{bmatrix}

now

X =  \begin{bmatrix}3 &2 \\ -1 &5 \\3& -4\end{bmatrix}-\begin{bmatrix}-2 &3\\ 4 &1 \\ 1&-5\end{bmatrix}

X = \begin{bmatrix}3-(-2) &2-3 \\ -1-4 &5-1 \\3-1& -4-5\end{bmatrix}

X = \begin{bmatrix}5 &-1 \\ -5 &4 \\2& -9\end{bmatrix}

hence, the required matrix is given above

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Need help!! I can't figure this out
Sidana [21]

9514 1404 393

Answer:

  12. $1,035,057.23

  13. $988,881.23

  14. $7,762.93

  15. $8,686.16

  16. $967,647.66

Step-by-step explanation:

The annuity and amortization formulas are used for problems like this.

  sum of monthly payments = P((1 +r/12)^(12t) -1)/(r/12)

  monthly amount available = P(r/12)/(1 -(1 +r/12)^(-12t))

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12. The sum of monthly payments of 74, accumulated at 9% compounded monthly for 52 years is ...

  A = ($74)((1 +.09/12)^(12·52) -1)/(.09/12) = $1,035,057.23

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13. The total of payments is ...

  $74×12×52 = $46,176

So, the interest earned is ...

  $1,035,057.23 -46,176 = $988,881.23

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14. The amount available in perpetuity is the monthly interest on this account balance.

  $1,035,057.23 × .09/12 = $7,762.93

__

15. The monthly amount available for 25 years is found from the amortization formula:

  A = $1,035,057.23(.09/12)/(1 -(1 +.09/12)^(-12·25)) = $8686.16

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16. The amortization formula is used for this, too.

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7 0
2 years ago
Another stack of books is 43 inches tall. Each book is 1/2 inch thick. Write an expression that represents the number of books i
enyata [817]

Answer:

86 books

Step-by-step explanation:

A stack of books is 43 inches tall.

Each book is \frac{1}{2} inch thick.

To find the number of books in tha stack, divide the height of the stack by the height of the book:

43:\dfrac{1}{2}

The division by the fraction \frac{1}{2} is equivalent to the multiplication by the fraction \frac{2}{1}, so

43:\dfrac{1}{2}=43\cdot \dfrac{2}{1}=43\cdot 2=86

5 0
3 years ago
How does the graph of y = ax2 + c compare to the graph of y<br> ax2
avanturin [10]

Answer:

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4 0
3 years ago
3) Prove that there is ann ∈ N such that 0.001 ∉ (0,1/n). (Hint: findsuch an n.)
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Answer:

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Step-by-step explanation:

0.001 = 1/1000

so, we take an n bigger than 1000, let's say 10000, then 1/1000 > 1/10000 and 1/1000 ∉ (0, 1/10000).

6 0
3 years ago
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Answer:

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