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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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Simplify 3/5 * 35 - 61
gizmo_the_mogwai [7]

Answer:

-15.6 or -15 3/5

Step-by-step explanation:

8 0
3 years ago
Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
zloy xaker [14]
Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.



Part B:

The area of the square is given by

Area=(x+4)^2=x^2+8x+16

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

x^2+8x+16=6x+8 \\  \\ \Rightarrow x^2+8x-6x+16-8=0 \\  \\ \Rightarrow x^2+2x+8=0 \\  \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2}  \\  \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2}  \\  \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>
7 0
3 years ago
What is the estimate of 90/7 divided by 1 3/4​
attashe74 [19]

Answer:

7×17/49

Step-by-step explanation:

90/7 × 4/7

90×4 / 7×7

360/49

7 17/49

6 0
3 years ago
What is the midpoint of a segment with endpoints at(-4,-8) and (8, 10)?
vekshin1

Answer:

The answer is

<h2>( 2 , 1)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = ( \frac{x1 + x2}{2}  , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,-8) and (8, 10)

The midpoint is

M = ( \frac{ - 4 + 8}{2}  , \:  \frac{ - 8 + 10}{2} ) \\  = ( \frac{4}{2} ,  \frac{2}{2} )

We have the final answer as

<h3>( 2 , 1)</h3>

Hope this helps you

4 0
3 years ago
Find the missing angle please!!
beks73 [17]
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Step 2: Bottom triangle. Your new angle above (60) is the pair of the opposite angle - so it too is 60. So now you know 2 of the 3 angles: 60+64=124 Subtract that from 180 and you get 56...which is the answer for ?
8 0
2 years ago
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