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skad [1K]
3 years ago
8

Diego deposited $ 1000 for 4 years at a simple interest rate of 6%. Find the interest and the total balance of

Mathematics
1 answer:
stich3 [128]3 years ago
5 0

Answer:36380

Step-by-step explanation:

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What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid
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Hence, the distance between (7,8) and (-8,0) is:17


explanation: (a,b)=(7,8) and (c,d)=(-8,0)
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Answer:

#5 - C

#7 - A

Step-by-step explanation:

If two items are similar, it means that the angles and figure itself have not changed, just the size. The two objects are prototional to each other.

In order to find the length of one side, we have to find what the size difference is, if that makes sense. We have to figure out the number that the smaller size is multiplied by in order to get the bigger number (or the other way around).

#5:

Side LK and side DE are preportional. We can divide 35 by 10 to figure out the proportion size. 35/10=3.5. Then we can take that and use it to find the other side. MK and FD are proportional. We can now take 22 and multiply it by 3.5 to get the new side length. 22x3.5=77

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Same thing. 12/8=1.5, which is the proportional size change. We can now take the already exisiting number and multiply it. 5x1.5=7.5

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3 years ago
A roped-off area of width x is created around a 30- by 10-foot rectangular museum display of Native American artifacts. The comb
Monica [59]

Answer: 4x^{2}+80x-500=0

Step-by-step explanation:

1. You know that:

-  The roped-off area whose width is represented with <em>x,</em> it is created around  a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

A=l*w

Where l is the lenght and w is the width.

You have that the lenght and the width in feet are:

l=30\\w=10

3. Let's call x the width of the roped-off area. Then, the combined area is:

A_c=l_c*w_c

Where

A_c=800

l_c=l+x+x=30+2x

w_c=w+x+x=10+2x

4. Substitute values and simplify. Then:

 800=(30+2x)(10+2x)

800=300+60x+20x+4x^{2}\\4x^{2}+80x-500=0

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