Answer:
- $70
- y = 25 + 0.9x
- $250
Step-by-step explanation:
1. 10% of $50 is $5, so the purchases would come to $50 -5 = $45. Added to the $25 membership fee, the total cost for the year would be
$45 +25 = $70
2. The member pays $25 even if no purchases are made. Then any purchases are 100% - 10% = 90% of the marked price. So, the total is ...
y = 25 + 0.90x
3. $25 is 10% of $250, so that is the amount the member would have to purchase to break even on cost.
If you like, you can compare the cost without the membership (x) to the cost with the membership (25+.9x) and see where those costs are equal.
x = 25 +0.9x . . . . . x is the spending level at which there is no advantage
0.1x = 25 . . . . . . . . subtract 0.9x
25/0.1 = x = 250 . . . divide by 0.1
Answer:
15.0
Step-by-step explanation:
Let's start by looking at triangle ORQ. Since RQ is tangent to the circle, we know that angle ∠ORQ is 90°. Then, since OR is equivalent to the radius of 5, RQ is 5√3, and side OQ is clearly larger than RQ, we can identify this as a 90-60-30 degree triangle. This makes side OQ have a length of 10, and angle ∠QOR, opposite of the second largest side, has the second largest angle of 60°, leaving ∠OQR with an angle of 30°.
The formula for the chord length is 2r*sin(c/2), with c being the angle between the two points on the circle (in this case, ∠QOR=∠NOR).. Our radius is 5, so the length of chord NR is 2*5*sin(60/2)=5, making our answer 5(ON)+5(OR)+5(RN)
Answer:
he will dig for 15 hours
Step-by-step explanation:
if a miner digs —90 feets in 6 hours
then he will dig –225 feet in x hours
—225 feet x 6 hours /—90 feet = 15 hours
Answer:
39. r = 13.4
40. m = 12
Step-by-step explanation:
39. Given the equation, 
, to solve for r, the following are the correct steps to take to arrive at the solution:
(given)
Add 0.8 to both sides of the equation (addition property of equality)
(this is where the error occurred.)
40. The correct steps to take in solving the equation, 
is as follows:
(given)
Multiply both sides by 3 (multiplication property of equality)
(this is where the error occurred. This is what we should have at this line/step)
(dividing both sides by -1)
Answer:
Step-by-step explanation:
