Answer:
- 6 gallons per minute.
Step-by-step explanation:
Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is
Q = a + bt ........... (1)
Now, Q(t = 0) is given to be 50 gallons.
So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).
Now, two points on the graph are (0,50) and (1,44).
So, the slope = b = 
= - 6 gallons per minute.
Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)
Answer:
Option D is correct.
Step-by-step explanation
Principal = $9250
rate of interest = 7% or 0.07
time = 5 years or 260 weeks
[ Since there are 52 weeks in a year . for 5 years it will be 5x52=260 weeks]
Applying the formula
Amount after t years = 
where P = principal
r = rate % in decimals
n= number of times in a year
t = times ( in years)
plugging the values in the formula
Amount = 
= 
= 
= 9250(1.418733588)
=$13123.29
Answer:
A. y = sine (x + 90 degrees)
Step-by-step explanation:
- y = cosine(x) is a curve that crosses the y-axis at y = 1 and completes one cycle at 360 degrees.
- sine(x) have the same curve than cosine(x), but translated 90° to the right respect cosine(x)
- f(x + c) translates f(x) horizontally c units to the left.
- Then, sine(x + 90) is equivalent to cosine(x)
Answer:
a. 205320
b. 34220
c. 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
Step-by-step explanation:
a) The number of ways to dustribute exams among the TA's is:
n / (n - r)!
n= number of things to choose from
r= Choosing r number
60P3= 60! / (60 - 3)!
(60)(59)(58)(57)! / (57)!
=205320
B) The number of ways to dustribute the exams among the TA's is:
n! /(n - r)! r!
60C3= 60! /(60 - 3)! 3!
= 60!/ 57! 3!
= 60 × 59 × 58 / 3 × 2 × 1
= 34220
C) The required number of ways is:
60C25 + 60C20 + 60C15
= 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
Is Jason’s baseball card going up by 2% every year for example
Jason’s baseball card after 1 year is
25×(1.02)^(1)=25.5
It increased by 0.5 in amount after one year
