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eimsori [14]
3 years ago
8

Michael has $550 in his savings account he took out $30.75 every month for one year what is the net change in Michael's account

balance following these withdrawals
Mathematics
1 answer:
andriy [413]3 years ago
6 0

First You do 30.75 x 12 This is because he said every month for a year and a year has 12 months The answer to 30.75 x 12 is 369 Now  all you have to do is 550 - 369 = 181.      

Hope this helps :D

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If 2(4x + 3) -12 = 3x -6, then what value of x makes the equation true ?
poizon [28]

x=0

let's solve your equation step-by-step

2(4x+3)-12=3x-6

(8x)+(6-12)=3x-6

8x-6=3x-6

subtract 3x from both sides.

8x-6-3x=3x-6-3x

5x-6+6=-6+6

5x=0

5x/5=0/5

x=0

I hope that helps you

3 0
3 years ago
A farmer plans to enclose two adjacent rectangular pens against a barn wall (see figure).
Licemer1 [7]

Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.

Then, the perimeter is given by

4

x

+

3

y

=

160

.

4

x

=

160

−

3

y

x

=

40

−

3

4

y

The area of a rectangle is given by

A

=

L

×

W

, however here we have two rectangles put together, so the total area will be given by

A

=

2

×

L

×

W

.

A

=

2

(

40

−

3

4

y

)

y

A

=

80

y

−

3

2

y

2

Now, let's differentiate this function, with respect to y, to find any critical points on the graph.

A

'

(

y

)

=

80

−

3

y

Setting to 0:

0

=

80

−

3

y

−

80

=

−

3

y

80

3

=

y

x

=

40

−

3

4

×

80

3

x

=

40

−

20

x

=

20

Hence, the dimensions that will give the maximum area are

20

by

26

2

3

feet.

A graphical check of the initial function shows that the vertex is at

(

26

2

3

,

1066

2

3

)

, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.

Hopefully this helps!

Step-by-step explanation: hope this helps

3 0
3 years ago
02
kumpel [21]

Answer:

from left to right its square square rectangle

Step-by-step explanation:

5 0
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