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Minchanka [31]
3 years ago
10

30 Points!!

Mathematics
1 answer:
neonofarm [45]3 years ago
4 0

Answer:

  multiply the left side of the constant vector by the inverse matrix

Step-by-step explanation:

The matrix equation ...

  AX = B

is solved by left-multiplying by the inverse of A:

  A⁻¹AX = A⁻¹B

  IX = A⁻¹B . . . . . the result of multiplying A⁻¹A is the identity matrix

  X = A⁻¹B . . . . . B needs to be multiplied by the inverse matrix

\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}-4&1\\3&2\end{array}\right]^{-1}\left[\begin{array}{c}9&7\end{array}\right]=\dfrac{1}{11}\left[\begin{array}{cc}-2&1\\3&4\end{array}\right]\left[\begin{array}{c}9&7\end{array}\right]=\left[\begin{array}{c}-1&5\end{array}\right]

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How much would $150 invested at 8% interest compounded continuously be worth after 17 years
Umnica [9.8K]

Answer:

Approximately $584.43

Step-by-step explanation:

Your formula is A=Pe^rt

A is what you're looking for, the amount

P is the principal aka what you put into the account: $150

e is the mathematical constant. You'd plug that into your calculator.

r is the rate, you'd put it into the equation as a decimal: 8%=.08

t is the time in years: 17

A=150e^.08x17 <em>you can plug this into your calculator</em>

A=$584.43

7 0
3 years ago
Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.
goblinko [34]

15444 ways we can choose 5 objects, without replacement, from 15 distinct objects.

Given that, suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

<h3>What is a permutation?</h3>

A permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.

Now, 13P_{5}= 13!/(13-5)!

= 13!/8! = 13x12x11x10x9= 1287 x 120 = 15,444

Therefore, 15444 ways we can choose 5 objects, without replacement, from 15 distinct objects.

To learn more about the permutation visit:

brainly.com/question/1216161.

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3 0
2 years ago
Select all of the situations below that can be modeled by the expression 4 + 3x.
Hatshy [7]

Answer:

1 2 3

Step-by-step explanation:

3 0
3 years ago
Write a recursive and an explicit formula to represent the following sequence 52, 40, 28, 16,...
horrorfan [7]

Answer:

Explicit tn = 52 + (n - 1)*(-12)

Recursive = tn = t(n - 1) - 12

Step-by-step explanation:

The difference between term n and term n - 1 is can be found by taking the difference between and 2 consecutive terms.

t3 = 28

t2 = 40

d = t3 - t2

d = 28 - 40

d = - 12

Explicit

tn = a1 + (n - 1)*d

a1 = 52

d = - 12

tn = 52 + (n - 1)*(-12)

<em><u>Example</u></em>

Find t5

t5 = 52 + (5 - 1)*(-12)

t5 = 52 + 4 * - 12

t5 = 52 - 48

t5 = 4

Recursive

tn = t(n - 1) - 12

<em><u>Example</u></em>

t5 = t4 - 12

t5 = 16 - 12

t5 = 4 just as it did before.

5 0
3 years ago
Transformations of functions PLS HELP
anygoal [31]

Answer:

B. y = f(x-4)

Step-by-step explanation:

3 0
3 years ago
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