Answer:
(x +8)^2 +(y -15)^2 = 289
Step-by-step explanation:
The numbers 8, 15, 17 are a Pythagorean Triple, so we know the radius of the circle is 17. Filling in the given information in the standard equation of a circle, we get ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r
(x +8)^2 +(y -15)^2 = 289 . . . . . circle with center (-8, 15) and radius 17
_____
Once you have identified the center (h, k)=(-8, 15) and a point you want the circle to go through (x, y)=(0, 0), evaluate the equation for the circle to find the square of the radius:
(0 +8)^2 +(0 -15)^2 = r^2 = 64+225 = 289
Divide the annual salary by 12 and you'll find the monthly salary
month salary = annual salary/12
month salary = 52,750/12
month salary = 4,395.83
Her monthly salary is $4,395.83
Answer:
Step-by-step explanation:
The growth rate of the coin is exponential. We would apply the formula for exponential growth which is expressed as
y = ab^x
y = b(1 + r)^ t
Where
y represents the value of the coin after x months.
x represents the number of months.
a represents the initial value of the coin.
b represents rate of growth.
From the information given,
a = 243
b = 1 + 15/100 = 1 + 0.15 = 1.15
Therefore, the exponential expression to determine the number of months, x it will take for the coin to attain a certain value, y is expressed as
y = 243(1.15)^x
If y = 1000, it means that
1000 = 243(1.15)^x
1000/243 = 1.15^x
4.115 = 1.15^x
Taking log of both sides, it becomes
log 4.115 = xlog1.15
0.614 = 0.061x
x = 0.614/0.061
x = 10 months
It will take 10 months
Answer:
3.
Step-by-step explanation:
Cancel all out and you will get 3.
x+1/x⁴-2x³+x²-1
81-64+7-21=3
Hope this helps :D
Answer:
The answer is C. -2x -4
Step-by-step explanation:
Your given information.
-3 - 3x - 1 + x
Combine and simplify common numbers/variables.
(-3x + x) + (-3 - 1)
-2x - 4
