Answer:
(a) 20256.15625
(b) 17642.78546
Step-by-step explanation:
(a) There's a formula for this problem y = A(d)^t where, A is the initial value you are given, d is the growth or decay rate and t is the time period. So, in this case, as the car cost is decreasing it is a decay problem and we can write the formula as such; y = A(1-R)^t
So, in 5 years the car will be worth, 25500(1-4.5%)^5 or 20256.15625 dollars
(b) And after 8 years the car will be worth 25500(1-4.5%)^8 or 17642.78546 dollars.
Answer: The first option.
Step-by-step explanation:
1. You need to remember that:
- An even function is a function with the following property:
f(-x)=f(x)
- An odd function is a function with the following property:
f(-x)=-f(x)
2. By definition, the contangent is an odd function, therefore you have that:
cot(-θ)=-cot(θ)
Then:
3. So, you can coclude that the first step is wrong. Therefore, the answer is the first option.
Answer:
23
Step-by-step explanation:
Answer:
five
Step-by-step explanation:
2x5=10-3=7
In order to solve for x, we must do the following:
5(x - 10) = 30 - 15x
5x - 50 = 30 - 15x (Expand 5(x - 10) )
5x - 50 + 50 = 30 - 15x + 50 (Add 50 to both sides of the equation)
5x = 80 - 15x
5x + 15x = 80 - 15x + 15x (Add 15x to both sides)
20x = 80
20x/20 = 80/20 (Divide both sides by 20)
x = 4
Therefor, the correct answer is the second option (x = 4).
You can always check if this is correct by substituting your answer back into the original equation and seeing if the left side is equal to the right side (this is also a potential method for solving the question itself if it is multiple choice, but I find it is often better to actually solve the equation rather than substitute each answer to see which works):
5(x - 10) = 30 - 15x
if x = 4:
5(4 - 10) = 30 - 15(4)
5(-6) = 30 - 60
-30 = -30
The two sides are equal, therefor x = 4 is confirmed as the correct answer.
