Answer:
(x - 5)² + (y + 3)² = 16
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) = (5, - 3) and r = 4, thus
(x - 5)² + (y - (- 3))² = 4², that is
(x - 5)² + (y + 3)² = 16 ← equation of circle
Answer:
x = 3
Step-by-step explanation:
Let's solve your equation step-by-step.
5x + 11 = -3x +35
Add 3x to both sides.
5x + 11 + 3x = -3x + 35 + 3x
8x + 11 = 35
Subtract 11 from both sides.
8x + 11 - 11 = 35 - 11
8x = 24
Divide both sides by 8.
x = 3
So therefore, that is how you found your answer: x = 3
Answer: B
Step-by-step explanation:
An individual's effective tax rate is the average tax rate.
Answer:
He must work 52 days to pay for a single ticket.
Step-by-step explanation:
This question can be solved using proportions.
Per hour:
Joel earns $7.25 per hour, 20% of which is deducted for taxes. So without taxes, in each hour, he earns 100%-20% of 80% of this, so 0.8*7.25 = $5.8.
Per day:
He works 9 a.m. to 5 p.m. each day, so 8 hours a day.
For each hour, he earns $5.8.
So in a day, he makes 8*5.8 = $46.4
How many days he must work:
The ticket costs $2400.
He makes $46.4 a day.
So, to buy a ticket, he needs to work:
2400/46.4 = 51.7 days
Rounding up
He must work 52 days to pay for a single ticket.
