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natulia [17]
3 years ago
13

The value of a house that was purchased 20 years ago has been appreciating by 1.2% each year since it was purchased. If the hous

e is currently valued at $456,996, what was it worth when it was purchased?
Mathematics
1 answer:
Kamila [148]3 years ago
7 0

I believe it would have been $347,316.95 at the time of purchase.

1.2% of 456996 is 5483.952

5483.952 \times 20 = 109679.04

So:

456996 - 109679.04 = 347316.95

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Solve the equation. –x – 7 = 16 –23 8 22 –9
Svetradugi [14.3K]

Answer:

x = - 23

Step-by-step explanation:

Given

- x - 7 = 16 ( Isolate - x by adding 7 to both sides )

- x = 23 ( multiply both sides by - 1 )

x = - 23

4 0
3 years ago
Which measure is most appropriate to describe the center of the data in the stem-and-leaf plot below?
FrozenT [24]

Answer:

median

Step-by-step explanation:

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3 0
3 years ago
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A city planner designs a park that is a quadrilateral with vertices at J(-3,1), K(1,3), L(5,-1), and M(-1,-3). There is an entra
Ksivusya [100]
The Quadrilateral is JKLM, 

let M_{JK}, M_{KL}, M_{LM}, M_{JM}, be the midpoints of JK, KL, LM and JM respectively.

---------------------------------------------------------------------------------------------------------

Given any 2 point P(m,n) and Q(k,l),<span>

the coordinates of the midpoint of the line segment PQ are given by the formula:

M_{PQ}=( \frac{m+k}{2} ,&#10;\frac{n+l}{2}), </span>

-------------------------------------------------------------------------------------------------

thus the coordinates of points M_{JK}, M_{KL}, M_{LM}, M_{JM},

are as follows:

M_{JK}= (\frac{-3+1}{2}, \frac{1+3}{2})=(-1,2), \\\\M_{KL}= (\frac{1+5}{2}, \frac{3-1}{2}=(3,1), \\\\M_{LM}= (\frac{5-1}{2}, \frac{-1-3}{2})=(2, -2),\\\\ M_{JM}= (\frac{-3-1}{2}, \frac{1-3}{2})=(-2,-1)


------------------------------------------------------------------------------------------------

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:<span>

 |PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}&#10;}</span>

------------------------------------------------------------------------------------------------

thus the distances connecting the opposite entrances can be calculated as follows:


|M_{JK},M_{LM}|= \sqrt{ (-1-2)^{2} + (2-(-2))^{2} }= \sqrt{9+16}=5

|M_{KL}M_{JM}|= \sqrt{ (3-(-2))^{2} + (1-(-1))^{2}}= \sqrt{25+4}= \sqrt{29}=5.39


Thus the total distance of the paths joining the opposite entrances is 

5+5.39 units = 50 m + 53.9 m = 104 m (rounded to the nearest meter)


Answer: 104 m



8 0
2 years ago
126=76<br>132=32<br>208=58<br>261=?​
SSSSS [86.1K]

Answer:

dude I ain't no albert einstein but I think it's 61

Step-by-step explanation:

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4 0
3 years ago
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The rate is 1km/15min

It's a fraction where the denominator is 15 minutes.
To make it a unit rate, we need to make the denominator 1.

A unit rate would be 4 km / hour.
5 0
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