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Lisa [10]
2 years ago
10

James is considering buying a home priced at $104,000. If the current market

Mathematics
1 answer:
KatRina [158]2 years ago
8 0
$106,000

In a buyers market, people that are buying a house can get it for a good price.
In a sellers market the person selling their house can make more.
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Nth term of 1 8 15 22 29
k0ka [10]
This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number.

We know a=1 and d=7 so:

a(n)=1+7(n-1)

a(n)=1+7n-7

a(n)=7n-6 

The above is the "rule" for the nth term.
8 0
3 years ago
Read 2 more answers
Can anyone pls help me to solve question 2 f and g and pls provide me a explanation I’m with that questions for three days
zvonat [6]

Answer:

  f)  a[n] = -(-2)^n +2^n

  g)  a[n] = (1/2)((-2)^-n +2^-n)

Step-by-step explanation:

Both of these problems are solved in the same way. The characteristic equation comes from ...

  a[n] -k²·a[n-2] = 0

Using a[n] = r^n, we have ...

  r^n -k²r^(n-2) = 0

  r^(n-2)(r² -k²) = 0

  r² -k² = 0

  r = ±k

  a[n] = p·(-k)^n +q·k^n . . . . . . for some constants p and q

We find p and q from the initial conditions.

__

f) k² = 4, so k = 2.

  a[0] = 0 = p + q

  a[1] = 4 = -2p +2q

Dividing the second equation by 2 and adding the first, we have ...

  2 = 2q

  q = 1

  p = -1

The solution is a[n] = -(-2)^n +2^n.

__

g) k² = 1/4, so k = 1/2.

  a[0] = 1 = p + q

  a[1] = 0 = -p/2 +q/2

Multiplying the first equation by 1/2 and adding the second, we get ...

  1/2 = q

  p = 1 -q = 1/2

Using k = 2^-1, we can write the solution as follows.

The solution is a[n] = (1/2)((-2)^-n +2^-n).

 

5 0
2 years ago
4. Solve using elimination.<br> 4x -3y = 9<br> 3x +2y = 11
UNO [17]
Answer: (3,1)

Explanation:
8 0
3 years ago
Read 2 more answers
As long as x is not zero, x to the power of 0 is defined to be equal to 1. Using this definition, 5 to the power of 0=? , ( 6 to
Volgvan
If you ever times a number by 0 then the answer will be 0 no matter what

3 0
3 years ago
PLEASE HELP!!! <br><br> Which equation represents this ellipse?
Alona [7]

Answer:

y²/25+x²/4=1

Step-by-step explanation:

The equation for an ellipse is either categorized as

x²/c² + y²/d² = 1 . In such an equation, the vertices on the x axis are categorized by (±c,0) and the vertices on the y axis are (0, ±d)

In the ellipse shown, the vertices/endpoints on the x axis are (-2,0) and (2,0). This means that c is equal to 2. Similarly, on the y axis, the endpoints are (5,0) and (-5,0), so d=5.

Our equation is therefore x²/2²+y²/5²=1 = x²/4+y²/25=1

Our answer is therefore the fourth option, or

y²/25+x²/4=1

5 0
2 years ago
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