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Rina8888 [55]
3 years ago
9

A house is worth 125,000 when it is 2 years old and 135,150 when it is 7 years old. According to this model, how much will the h

ouse be worth when it is 16 years old
Mathematics
1 answer:
kicyunya [14]3 years ago
4 0

Answer:111650

Step-by-step explanation:i think its right

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Solve the system using elimination.<br> 2x + 18y = -9<br> 4x + 18y = -27
Elan Coil [88]

First, let's cancel out the x by multiplying 2x + 18y = -9 by -2.

-2 ( 2x + 18y = -9) = -4x -36y = 18

Then, we combine the two equations.

-4x + 4x = 0

18y - 36y = -18y

-27 + 18 = -9

Our new equation is -18y = -9.

Now, divide both sides by -18.

-18y / -18 = y

-9/ -18 = 1/2

y = 1/2

We can plug in a value for y since y = 1/2 now.

Let's use 2x + 18y = -9

Plug in y.

2x + 18(1/2) = -9

2x + 9 = -9

Then, subtract 9 from both sides.

2x = -18

Divide by 2.

2x/2 = x

-18/2 = -9

x = -9

Lastly, we can plug in both x and y values to see it works.

2(-9) + 18(1/2) = -9

-18 + 9 = -9

Therefore, the values of x and y does work.

x = -9

y = 1/2

4 0
3 years ago
The function table shows the rule y = 3x + 5. Which number correctly completes the table?
Oduvanchick [21]

Answer:

the answer is 3

Step-by-step explanation:

11-8=3

17-11=6

6/2=3

8 0
3 years ago
Read 2 more answers
4s - (s - 12) = 1- (1 - 6s)?
Nadusha1986 [10]

Answer:

s=-4

Step-by-step explanation:

  • combine like terms on each side and get 3s-12=6s
  • subtract 3s from both sides to get -12=3s
  • divide both sides by three and get s=-4
7 0
3 years ago
A rectangular box without a lid is to be made from 48 m2 of cardboard. Find the maximum volume of such a box. SOLUTION We let x,
tatiyna

Answer:

The maximum volume of such box is 32m^3

V = x×y×z = 32 m^3

Step-by-step explanation:

Given;

Total surface area S = 48m^2

Volume of a rectangular box V = length×width×height

V = xyz ......1

Total surface area of a rectangular box without a lid is

S = xy + 2xz + 2yz = 48 .....2

To be able to maximize the volume, we need to reduce the number of variables.

Let assume the rectangular box has a square base,that means; length = width

x = y

Substituting y with x in equation 1 and 2;

V = x^2(z) ....3

x^2 + 4xz = 48 .....4

Making z the subject of formula in equation 4

4xz = 48 - x^2

z = (48 - x^2)/4x .......5

To be able to maximize V, we need to reduce the number of variables to 1, by substituting equation 5 into equation 3

V = x^2 × (48 - x^2)/4x

V = (48x - x^3)/4

differentiating V with respect to x;

V' = (48 - 3x^2)/4

At the maximum point V' = 0

V' = (48 - 3x^2)/4 = 0

Solving for x;

3x^2 = 48

x = √(48/3)

x = √(16)

x = 4

Since x = y

y = 4

From equation 5;

z = (48 - x^2)/4x

z = (48 - 4^2)/4(4)

z = 32/16

z = 2

The maximum volume can be derived by substituting x,y,z into equation 1;

V = xyz = 4×4×2 = 32 m^3

7 0
3 years ago
Find the perimeter of the shape. (Answer choice In pic)
Lana71 [14]
Answer: 49.2 cm



Explanation: I don’t know how to explain it without a visual so I hope you end up figuring it out! All I can say is: use Pythagorean’s theorem for that triangle to the left (if you know what I mean) to find the hypotenuse and then add all the sides up!

Have a great day!
▼・ᴥ・▼
6 0
3 years ago
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