Answer:
we choose f(x) = π cos(πx)
Step-by-step explanation:
Given the information:
Let analyse all possible answers;
1/ f(x) = -2 sec(x)
when x= 0 we have: f(0) = -2 sec(0) = -2
= -2 wrong
2. f(x) = 7sin(x/4 - 1/29)
when x= 0 we have: f(0) =7sin(0/4 - 1/29) = 7sin(-1/29) = -0.00421 wrong
3. (x) = π cos(πx)
when x= 0 we have: f(0) = πcos(π0)
= cos(0) = π0 = 0
when x= 2 we have: f(2) = πcos(π2)
= πcos(0) = π
True
4. f(x) = 2π cos(x - π/2)
when x= 0 we have: f(0) = 2π cos(0 - π/2) = 2π cos(-π/2) = 0
when x= 2 we have: f(2) =2π cos(2 - π/2) = 2π0.034 = 0.0697π Wrong
So we choose f(x) = π cos(πx)
Answer: Events A and B are independent because P(A/B)=P(A).
Step-by-step explanation:
Answer:
Difference in interest= $41,250
Step-by-step explanation:
To calculate the interest paid on each bank loan we use the following formula
Interest = Principal * Rate * Time
For Bank A
Interest = 275,000 * 0.035 * 30
Interest = $288,750
For Bank B
Interest = 275,000 * 0.04 * 30
Interest = $330,000
Therefore
Difference in interest= 330,000 - 288,750
Difference in interest= $41,250
Therefore if the mortgage is taken from Bank B he will pay an extra $41,250 on the loan.
The 0.5% difference in rates has a large impact over the 30 year term loan
Answer: Simplifying
2x + 4 + 2x + 8 + 2x + 8 = 180
Reorder the terms:
4 + 8 + 8 + 2x + 2x + 2x = 180
Combine like terms: 4 + 8 = 12
12 + 8 + 2x + 2x + 2x = 180
Combine like terms: 12 + 8 = 20
20 + 2x + 2x + 2x = 180
Combine like terms: 2x + 2x = 4x
20 + 4x + 2x = 180
Combine like terms: 4x + 2x = 6x
20 + 6x = 180
Solving
20 + 6x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 6x = 180 + -20
Combine like terms: 20 + -20 = 0
0 + 6x = 180 + -20
6x = 180 + -20
Combine like terms: 180 + -20 = 160
6x = 160
Divide each side by '6'.
x = 26.66666667
Simplifying
x = 26.66666667
Step-by-step explanation:
