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2 years ago

14

Margo's parents started a savings account when she started highschool. They put in $12,500 to start. If the account earns 7% sim

ple interest every year, How much will she have after 4 years?

1 answer:

eduard2 years ago

7 0

Answer:

probably bout like 4 dollars

Step-by-step explanation:

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Assume that T is a linear transformation. Find the standard matrix of T. T: R^3 right arrow R^2 , T(e 1) =(1,2), and T(e2 ) =( -

irina [24]

Answer:

$A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]$

Step-by-step explanation:

Given

$T:R^3->R^2$

$T(e_1) = (1,2)$

$T(e_2) = (-4,6)$

$T(e_3) = (2,-6)$

Required

Find the standard matrix

The standard matrix (A) is given by

$Ax = T(x)$

Where

$T(x) = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right]$

$Ax = T(x)$ becomes

$Ax = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right]$

The x on both sides cancel out; and, we're left with:

$A = [T(e_1)\ T(e_2)\ T(e_3)]$

Recall that:

$T(e_1) = (1,2)$

$T(e_2) = (-4,6)$

$T(e_3) = (2,-6)$

In matrix:

$(a,b)$ is represented as: $\left[\begin{array}{c}a\\b\end{array}\right]$

So:

$T(e_1) = (1,2) = \left[\begin{array}{c}1\\2\end{array}\right]$

$T(e_2) = (-4,6)=\left[\begin{array}{c}-4\\6\end{array}\right]$

$T(e_3) = (2,-6)=\left[\begin{array}{c}2\\-6\end{array}\right]$

Substitute the above expressions in $A = [T(e_1)\ T(e_2)\ T(e_3)]$

$A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]$

Hence, the standard of the matrix A is:

$A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]$

6 0

3 years ago

The stairway shown is made of solid concrete. The height of each step is 8 inches (in.) and the width is 15 inches. The length i

expeople1 [14]

If you’re trying to find the area of the step:

A=lwh
A=20•15•8
A=2,400 cubic inches
or 2,400 in ²

7 0

3 years ago

Identify the expression that is a rational number<br> and explain why it is rational

Yuliya22 [10]

√5/11

<em>This</em><em> </em><em>is</em><em> </em><em>a</em><em> </em><em>rational </em><em>number</em><em> </em><em>because</em><em> </em><em>rational</em><em> </em><em>numbers</em><em> </em><em>are</em><em> </em><em>values</em><em> </em><em>which</em><em> </em><em>can</em><em> </em><em>be</em><em> </em><em>expressed</em><em> </em><em>as</em><em> </em><em>a</em><em> </em><em>fraction</em><em> </em><em>and</em><em> </em><em>√</em><em>5</em><em>/</em><em>1</em><em>1</em><em> </em><em>is</em><em> </em><em>already</em><em> </em><em>a</em><em> </em><em>fraction</em><em>.</em>

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3 years ago

You randomly choose one game piece. Find the theoretical probability of each event. Reduce the fraction in lowest terms and

kykrilka [37]

Answer:

Yellow= 1/2 or 50%chance

Red= 1/5 or 20% chance

Blue= 1/5 or 20% chance

Green= 1/10 or 10% chance

Step-by-step explanation:

There are 10 game pieces

5 are yellow

2 are red

2 are blue

And 1 is green

5/10=1/2=50%

2/10=1/5=20%

2/10=1/5=20%

1/10=10%

Add these up and you get 10/10 or 100%

Hope this helps and don't forget to follow!

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3 years ago

Which linear system of equations does the matrix represent <br> [-3 5|15]<br> [2 3|-10]

Hunter-Best [27]

The matrix represents
-3x + 5y = 15
2x + 3y = -10

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3 years ago