The answer should be B. Hope this helped
slope is $0.10 <em>($1.00 per 10 tokens = $0.10)</em>
y-intercept is $60 <em>($60 is the annual fee)</em>
y = .10x + 60 <em>(y = mx + b)</em>
domain is x ≥ 0 <em>(you can't buy a negative number of token)</em>
range is y ≥ 60 <em>(input the domain (x ≥ 0) to find the range)</em>
Answer: the y-intercept of the function is $60
Answer:
4.39%
Step-by-step explanation:
There are no marking to identify the coins, so the order is not important. Since the order not important we use combination instead of permutation.
A coin have 2 possible outcome, head or tails. Assuming the coin is fair each outcome will be 50% or 0.5 chance. If heads= A and tails =B, then the probability of 2 pennies will be:
P(A=2) = 2C10 * A^2 * B^(10-2)
P(A=2) = 10*9/2 * 0.5^2 * 0.5^8
P(A=2) = 0.0439= 4.39%
Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
