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Archy [21]
3 years ago
8

A property sells for $620,000 two years after it was purchased. If the annual appreciation rate was 4%, how much did the origina

l buyer pay for the property (round to the nearest $1,000)?
Mathematics
2 answers:
8090 [49]3 years ago
6 0
$25,000 is the answer you would take $620,000 x 0.04 (4%)= 24,800 which rounds to 25,000
nikklg [1K]3 years ago
3 0

Answer:

$574,000

Step-by-step explanation:

To solve this problem you just have to first state how much in percentage of the first place does the final price represents, if the problem tells you that the house is sold 2 years after it was purchased, and it appreciated at a rate of 4% annually, this means that it appreciated 8%, so the total price is actually 108% of the original price, now that we now this we just do a simple rule of three:

\frac{620,000}{108}\frac{x}{100}

If you clear the rule of three you get:

x=\frac{(620,000)(100)}{108}

x=574,074.074

Since they ask you to round it to the nearest thousand it´d be $574,000

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3 years ago
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

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Answer:

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Step-by-step explanation:

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