(3x+1)+(2x+4)=90
3x+1+2x+4=90
5x+5=90
5x=85
x=17
Answer:
x^2 + y^2 + 16x + 6y + 9 = 0
Step-by-step explanation:
Using the formula for equation of a circle
(x - a)^2 + (y + b)^2 = r^2
(a, b) - the center
r - radius of the circle
Inserting the values given in the question
(-8,3) and r = 8
a - -8
b - 3
r - 8
[ x -(-8)]^2 + (y+3)^2 = 8^2
(x + 8)^2 + (y + 3)^2 = 8^2
Solving the brackets
( x + 8)(x + 8) + (y +3)(y+3) = 64
x^2 + 16x + 64 + y^2 + 6y + 9 = 64
Rearranging algebrally,.
x^2 + y^2 + 16x + 6y + 9+64 - 64 = 0
Bringing in 64, thereby changing the + sign to -
Therefore, the equation of the circle =
x^2 + y^2 + 16x + 6y + 9 = 0
Answer
Given
Sean's house is currently worth $188,900.
According to a realtor, house prices in Sean's neighborhood will increase by 4.8% every year.
To prove
Formula

Where r is the rate in the decimal form.
As given


= 0.048
Put in the formula


Now also calculated monthly.
Formula

As given


= 0.048
Put in the formula



As the approximation quarterly growth rate of the value of sean's house is near the Compounded quarterly interest .
Thus Option (A) is correct.
i.e
The expression
reveals the approximate quarterly growth rate of the value of Sean's house.
Answer:
174339220050
Step-by-step explanation:
50(3^20)
=(50)(3486784401)
=174339220050