Answer:
$15,539.67
Step-by-step explanation:
Compound Interest Formula
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = $11,000
- r = 5.8% = 0.058
- n = 4 (quarterly)
- t = 6 years
Substitute the given values into the formula and solve for A:
Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.
Answer and Explanation:
If, on the other hand, the graph "flexes" or "flattens out" to some degree when it goes to cross the axis, then the zero is of a higher multiplicity; that is, it'll be of multiplicity three, five, or higher.
When a graph doesn't start at 0, it means that the graphs before it is not shown.
For number 4, I'd suggest Graph 3.
For number 3, I'd suggest graph 1.
For number 5, Write something along the lines of "Graph 2 does not show the car stopping slowly, it stops suddenly. Then it starts going really fast and stops suddenly again."
I hoped this helped.
Answer: Slope: 6-(-6)/2-(-4)=2
Slope:2
Write it in the standard form
Y=2x+b
Find the b
Substitute the y and x
6=2(2)+b
b=2
Here the equation=
Y =2x+2
Step-by-step explanation:
Answer:
f(x) = 8x⁴-8x²+1
Step-by-step explanation:
I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties
- cos(2a) = cos²(a) - sin²(b)
- sin(2a) = 2sin(a)cos(a)
- sin²(a) = 1-cos²(a)
cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1
Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result
f(x) = 8x⁴-8x²+1.
Answer:
A
Step-by-step explanation:
The inverses of functions are basically the Xs and Ys swapped. For example, the inverse of (2,-3) is (-3,2).
Thus, the inverse of (-2,4), (3,2), and (-6,10) will be (4,-2), (2,3), and (10,-6).
the answer is A.
