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OLEGan [10]
3 years ago
10

A house is purchased for $150,000 in 2002. The value of the house

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0

9514 1404 393

Answer:

  $67,516

Step-by-step explanation:

"Depreciates" means the value is getting smaller. The function that describes the situation is a <em>decay</em> function:

  y= a(1-r)^x

Here, a=150000, r = 0.07, and x=11. The value is predicted to be ...

  y = 150000(1 -0.07)^11 = 150000(0.93^11) = 67,515.53

The house is worth about $67,516 in 2013.

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Hillary needs to know if the triangle shown is a right triangle. Which equation should she use to help?
Sonja [21]

Answer:

a2+b2=c2

Step-by-step explanation:

A right triangle is a triangle in which one of the angles is a 90∘ angle. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

7 0
3 years ago
Two groups of students order burritos and tacos at a local restaurant. One order of 3 burritos and 4 tacos coast 11.33. The othe
makkiz [27]
3B + 4T = 11.33 9B + 5T = 23.56 Solve by elimination: Multiply the first equation by -3 to get -9B where the 3B is so that it will cancel with the 9B when the equations are added. -9B - 12T = -33.99 9B + 5T = 23.56 ------------------ -7T = -10.43 T = $1.49 Substitute in 3B + 4T = 11.33 3B + 4(1.49) = 11.33 3B + 5.96 = 11.33 3B = 5.37 B = $1.79 A taco costs $1.49 and a burrito costs $1.79. Therefore 5 burritos and 7 tacos will cost 5B + 7T = 5($1.79) + 7($1.49) = $19.38
7 0
3 years ago
Find the area of the composite figure.
Sunny_sXe [5.5K]

Answer:

25m²

Step-by-step explanation:

it might be helpful for you

4 0
3 years ago
Need help with equations with variables on both sides, giving 100 points, tysm if you help :) 6 (2x-4) = 8(x +2) A. 3 B. 10 C. 2
scoundrel [369]

Answer:

B. 10

C. All real numbers.

Step-by-step explanation:

6 (2x-4) = 8(x + 2)

Distribute the numbers outside of the factors:

12x - 24 = 8x + 16

Subtract both sides by '8x'

12x - 8x - 24 = 8x - 8x + 16

4x - 24 = 16

Add '24' to both sides:

4x = 40

Divide both sides by 4:

x = 10. Therefore, <u>B. 10</u> is the correct answer.

3(4p - 2) = -6(1 - 2p)

Distribute the numbers similarly to the example before:

12p - 6 = -6 + 12p

Subtract '12p' from both sides:

12p - 12p -6 = -6 + 12p - 12p

0 -6 = -6

Add '6' to both sides:

0 - 6 + 6 = -6 + 6

0 = 0

Therefore, the solution consists of <u>all real numbers.</u>

3 0
3 years ago
If 6/10r=6/7, then what is<br>r?​
crimeas [40]

Answer:

<em>Answer is </em><em>10</em><em>/</em><em>7</em>

Step-by-step explanation:

[tex] (\frac{6}{10} )r = \frac{6}{7} \\ cancelling \: 6 \: on \: both \: sides \\ (\frac{1}{10} )r = \frac{1}{7} \\ \frac{r}{10} = \frac{1}{7} \\ r = \frac{10}{7} \: \\

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

7 0
3 years ago
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