43*1.18=$50.74
You pay 100% plus 18% tip
F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
Answer: C. He used too few trials for the sample space.
Step-by-step explanation:
Given: Josh used a standard deck of 52 cards to conduct an experiment.
As half of the cards in the deck were red.
If we take sample space= 52 cards
Then probability of getting a red card
But Josh took 8 cards as sample space which is not enough for the sample space.
therefore, C. is the right answer. "He used too few trials for the sample space."
Year Net Profit
1 <span>$14,250.00
2 $15,390.00
3 $16,621.20
4 $17,950.90</span>2
We need to get the increase of the net profit of the current year from the previous year.
Percentage increase = (Current year - Previous Year)/ Previous Year * 100%
Year 2: (15,390 - 14, 250) / 14,250 * 100% = 0.08 * 100% = 8%
Year 3: (16,621.20 - 15,390) / 15,390 * 100% = 0.08 * 100% = 8%
Year 4: (17,950.90 - 16,621.20) / 16,621.20 * 100% = 0.08 * 100% = 8%
Every year the net income increases by 8%. So, the net income in Year 5 will be:
17,950.90 x 1.08 = 19,386.97 Choice D.
Answer:
a) + x direction, b)
.
Step-by-step explanation:
a) According to the Cartesian plane, an eastward translation implies a movement in the +x direction.
b) 