the first two professors did not know if everyone wanted coffee because the third professor had to choose yes or no if he wanted coffee. the first two professors were waiting for the third to say something, and when he said no, they knew he did not want coffee. if one of the first two professors said no, the answer would be no.
Subtract:
189.95 - 45.00 = 144.95
the cost = 144.95
Answer: he will have $12720 after 15 years
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $8000
r = 3.1% = 3.1/100 = 0.031
n = 12 because it was compounded 12 times in a year.
t = 15 years
Therefore,
A = 8000(1 + 0.031/12)^12 × 15
A = 8000(1 + 0.00258)^180
A = 8000(1.00258)^180
A = $12720
Answer:
16
Step-by-step explanation:
We could use the distance formula to find the distance between the points in this problem, but when we look we see that the sides of the rectangle are parallel to the x and y-axis for each pair of sides. The first two points have a distance of 3 because 4-1=3. Since it is a rectangle, the opposite side will have the same length. For the sides perpendicular, we look at the points with the same x coordinate. Using (4,2) and (4,-3), we can calculate the length of the side by finding the distance by adding the absolute values of the y coordinate. 2+3=5. This means that the triangle has two sides with a length of 5 and two sides with a length of 3. Adding these together, 5+5+3+3 = 16.
Solution is where the 2 lines intersect
I would say the answer is 3rd option, whre both lines pass through that point