Answer: -880.75
Step-by-step explanation:
Step 1: Simplify 20.25 - 912 - 912 to -891.75
-891.75+11−891.75+11
Step 2: Simplify.
-880.75
Answer:
For t = 0.33 s, H = 14.0976 feet;
For t = 3 s, H = 0 feet;
For t = 16 s, H = -3328 feet;
For t = 48 s, H = -34560 feet.
Step-by-step explanation:
Assuming there's a typo on the problem and it wishes to determine the distance traveled by the ball in the given times instead of the time, we can solve it as shown below:
For t = 0.33 s:

For t = 3 s:

For t = 16 s:

For t = 48 s:

Answer:
It is (x+ 1
Step-by-step explanation:
Because -1 is a root because 4(-1)^3 + 9(-1)^2 - (-1) - 6 = -4 + 9 + 1 - 6 = -5 + 5 = 0
Step-by-step explanation:
Coordinates of A≡(−1,3)
Coordinates of B≡(7,9)
Coordinates of C≡(15,-3)
The median through the vertex C will meet at the mid point of AB.
Coordinate of mid-point on AB=[(-1+7)/2 , (3+9)/2]= (3,6)
Now,
Length of median through vertex C= Distance between (15,-3) and (3,6)
Therefore,
Length of median = √(3-15)²+(6-(-3))²=√144+81=15unit
Hence the length of median through the vertx C is 15 units.
The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.
Step-by-step explanation:
Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.
Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.
The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.
So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.
The number of years to reach 13,500 dollars =
= 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.