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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?

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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The height of a cylinder is 3 units. Its radius is 10 units. What is the volume of the cylinder, in cubic units? (Use π = 3.14)

serg [7]

The answer would be 942.
since the formula for volume of a cylinder is the area of the base times the height you would need to multiply pi times 10^2 and then times the height of 3.

3.14 * 10^2 = 314
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I hope this helped :)

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3 years ago

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Where is -2 1/2 at on a number line

Lubov Fominskaja [6]

Answer:

-2.5

Step-by-step explanation:

-2 1/2 converted to a decimal is -2.5. So, it would be between 3 and 2 in the negatives.

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3 years ago

Sasha is making some shelves which are 75.5 cm long. If the wood she is using is 180 cm long, how many pieces will she need to m

anzhelika [568]

Answer:

3

Step-by-step explanation:

Since the shelves are 75.5cm long, the total length she would be needing is 75.5cm × 6 = 453cm

Now, the length of the wood she is using is 180cm, to get enough length to make the shelves, we would need to divide 453cm by 180cm which gives a value of around 2.51

This is approximately equal to 3 when rounded up to the nearest whole number.

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3 years ago

Which comparison is incorrect?<br><br> -3 > -7<br> -9 > 4<br> -4 > -6<br> 7 > 5

Mashcka [7]

Option 2 is incorrect

-9 is not greater than 4

So -9>4 would be the correct answer

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3 years ago

What is the 8th term of the following sequence?<br> 3/25, 3/5, 3, 5

irakobra [83]

Answer:

The 8th term of the following sequence is 9375.

Step-by-step explanation:

Given the sequence

3/25, 3/5, 3, 15

As we know that a geometric sequence has a constant ratio and is defined by:

$\:a_n=a_0\cdot r^{n-1}$

so

$\frac{3}{25},\:\frac{3}{5},\:3,\:15$

$\frac{\frac{3}{5}}{\frac{3}{25}}=5,\:\quad \frac{3}{\frac{3}{5}}=5,\:\quad \frac{15}{3}=5$

As the ratio 'r' is the same.

so

$r=5$

As the first element of the sequence is

$a_1=\frac{3}{25}$

Therefore, the nth term is computed by

$\:a_n=a_0\cdot r^{n-1}$

$a_n=\frac{3}{25}\cdot \:5^{n-1}$

Putting n = 8 to determine the 8th term.

$a_8=5^7\cdot \frac{3}{25}$

$a_8=\frac{3\cdot \:5^7}{25}$

$=\frac{5^7\cdot \:3}{5^2}$

$=5^5\cdot \:3$

$=9375$

Therefore, the 8th term of the following sequence is 9375.

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3 years ago