Answer:
First one: C. Second One:C.
Step-by-step explanation:
Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years?
a) $13,935.76
b) $12,874.57
c) $13,792.99
To solve this this is an exponential function. The price started at $23,000 and depreciates at 12% so the equation is f(x) = (23,0000)(1-0.12)^4. When calculated results with 13792.99328 which is C.
A rare coin is currently worth $450. The value of the coin increases 4% each year. Determine the value of the coin after 7 years.
a) $613.98
b) $546.78
c) $592.17
To solve this this is also an exponential function. The price started at $450 and the coin increases 4% each year so the equation is f(x) = (450)(1+0.04)^7. When calculated results with 592.169300656 which is c.
<h3>
Answer: -2</h3>
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Explanation:
We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).
Comparing x+1 to x-k shows that k = -1
It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.
Plug this k value into the function
f(x) = 2x^6 + 3x^5 - 1
f(-1) = 2(-1)^2 + 3(-1)^5 - 1
f(-1) = 2(1) + 3(-1) - 1
f(-1) = 2 - 3 - 1
f(-1) = -1 - 1
f(-1) =-2
The remainder is -2
We can confirm this through synthetic division or polynomial long division.
6.62m should be the correct answer
The inequality using variables x and y which satisfy the points are; y>-3x+3.
<h3>What is inequality?</h3>
Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given that the points (2,5) and (-3,-5) lie on the boundary line.
The system of inequality is given by:
y>-3x+3-
Now, the point that will lie in the solution set to the following system of inequality are the point that satisfies the inequality.
a) (6, 5)
when x=6 and y= 5
then we have:
y>-3x+3
6 > -3×5 + 3
6>- 15+3
5 > -12
This means that the point will lie in the solution set.
Also, (-2, -3) when x= -2 and y= -3
then we have:
5 > -3×(-2) + 3
5> 6 + 3
5> 9
Hence, the inequality using variables x and y which satisfy the points are; y>-3x+3.
Learn more about inequality ;
brainly.com/question/14164153
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Next time do you mind sending it in a phot because this is a lot of information
