Given data 4,y,9,5,2,7 find y if the mode is 4the mean is 5the median is 6
1 answer:
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The house's value increased by $49,970. The current value of the house is $312,970.
Step-by-step explanation:
Step 1:
The house was valued at $263,000 and this value increased by 19%. So we need to calculate how much 19% of $263,000 is.
To do so we convert the 19% into a fraction by dividing it by 100 and multiplying it with the house's value.
19% of $263,000 =
So the value of the house increased by $49,970 in several years.
Step 2:
To calculate the current value, we add the increased value to the original value.
The current value = the past value + The increased value,
The current value
So the current value of the house is $312,970.
Answer:
(x + 4)² + (y + 5)² = 73
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 4, - 5), thus
(x - (- 4))² + (y - (- 5))² = r², that is
(x + 4)² + (y + 5)² = r²
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)
r =
=
= =
⇒ r² = 73, thus
(x + 4)² + (y + 5)² = 73 ← equation of circle