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Oxana [17]
4 years ago
15

If a insect is 0.095 long how long is it if looking through a microscope 100 times how long would the insect be

Mathematics
1 answer:
Sliva [168]4 years ago
5 0

9.5.....................


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How much would $500 invested at 6% interest compounded monthly be
kirza4 [7]
The answer is $4,320 because you would multiply 500 by 0.06 to get 30. Then since that monthly you would multiply that by 12. Then since it’s over 4 years the final answer is $4,320.
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Multiply. Write your answer as a fraction in simplest form.<br> 8x 3/26
ankoles [38]

Answer:

12/13

Step-by-step explanation:

Multiply 8 with the numerator

8 * 3/26 = 24/26

Simplify

12/13

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3 years ago
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Hailey took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.40 plus $4.50 per mile. The total
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The taxi drove Hailey for 19 miles.

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1. Subtract the tip.

$87.90 - $2.40 = $85.5

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$85.5 / $4.50 = 19

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2 years ago
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Create a matrix for this system of linear equations, The determinant of the coefficient matrix is
marin [14]

Answer:  The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation:  The given system of linear equations is :

2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.

Now, from equations (ii) and (iii), we have

x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.

From equations (iv) and (v), we get

y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0
4 years ago
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