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m_a_m_a [10]
3 years ago
11

At the start of 2014 lucys house was worth ?200 000. The value of the house increased by 5% every year. Workout the value of her

house at the start of 2017
Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer:

The value of Lucys house  at the start of 2017 is 231525.

Step-by-step explanation:

It is given that the initial value of Lucys house is 200,000. The  at the start of 2017.

The exponential function is defined as

P=P_0(1+r)^t

Where, P₀ is initial value, r is growth rate, t is time in years.

The value of house is defined by the function

P=200000(1+0.05)^t

Where, t is number of years after 2014.

P=200000(1.05)^t

The difference between 2017 and 2014 is 3 years.

P=200000(1.05)^3=231525

Therefore the value of Lucys house  at the start of 2017 is 231525.

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I would say 2/4......6/12...

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Identify the center and radius from the equation of the circle given below. x^2+y^2+121-20y=-10x
Tcecarenko [31]

Answer:

Center: (-5,10)

Radius: 2

Step-by-step explanation:

The equation of the circle in center-radius form is:

(x-h)^2+(y-k)^2=r^2

Where the point (h,k)  is the center of the circle and "r" is the radius.

Subtract 121 from both sides of the equation:

x^2+y^2+121-20y-121=-10x-121\\x^2+y^2-20y=-10x-121

Add 10x to both sides:

x^2+y^2-20y+10x=-10x-121+10x\\x^2+y^2-20y+10x=-121

Make two groups for variable "x" and variable "y":

(x^2+10x)+(y^2-20y)=-121

Complete the square:

Add (\frac{10}{2})^2=5^2 inside the parentheses of "x".

Add  (\frac{20}{2})^2=10^2  inside the parentheses of "y".

Add 5^2 and 10^2 to the right side of the equation.

Then:

(x^2+10x+5^2)+(y^2-20y+10^2)=-121+5^2+10^2\\(x^2+10x+5^2)+(y^2-20y+10^2)=4

Rewriting, you get that the equation of the circle in center-radius form is:

 (x+5)^2+(y-10)^2=2^2

You can observe that the radius of the circle is:

r=2

And the center is:

(h,k)=(-5,10)

6 0
3 years ago
Read 2 more answers
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rusak2 [61]

Answer:

4/5 is grater than 45/100

Step-by-step explanation:

Why?

because in percentage you make the bottom # a 100 one of them already has that and when it has 100 on the bottom it tells you that the top # is the percentage so 45/100 is 45%

now to make 4/5 a percentage what times 5 = 100?

20 does

so you times the top and bottom by 20

4*20= 80

now your fraction is 80/100  (top # tells you the %)

it's 80%

80% is grater than 45%

5 0
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sineoko [7]
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Therefore,

P(winning twice) = (5/26) × (5/26) = 25/676

3 0
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