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KatRina [158]
3 years ago
14

Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year. Which of the follow

ing functions best models this situation?
f(x)=23,540(1.05)xf of x is equal to 23 comma 540 times 1 point 0 5 to the x th power

f(x)=23,540(0.95)xf of x is equal to 23 comma 540 times 0 point 9 5 to the x th power

f(x)=−23,540(1.05)xf of x is equal to negative 23 comma 540 times 1 point 0 5 to the x th power

f(x)=−23,540(0.95)x
Mathematics
1 answer:
Elodia [21]3 years ago
4 0
Hey I want you to know to have a bless day
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Five numbers have a range of 14. Four of the numbers are 20, 22, 31 and 25. Work out the two different possible values for the f
Pepsi [2]

Answer:

17

34

Step-by-step explanation:

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

the missing number can either by the highest value or the lowest value. this is because none of the numbers given when subtracted from each other would give a value of 14

let x = missing number

14 = x - 20

x = 20 + 14 = 34

or

14 = 31 - x

x = 31 - 14

x = 17

6 0
3 years ago
If a hummingbird were to get all
Ronch [10]
What is the rest of the question??
7 0
3 years ago
Read 2 more answers
Solve with elimination.
wlad13 [49]

Answer:y=6.61,x=-6.46

Step-by-step explanation:

3x+7y=-26(×5)

         -

5x+3y=-14(×3)

=15x+35y=-130

           -

 15x+9y=-42

subtracting the 2 equations =15x-15x+35y-9y=-130-(-42)

=26y=172

y=172÷26

y=6.61

substitute y in the first equation=3x+6.61=-26

3x=-26+6.61=-19.39

x=-19.39÷3

x=-6.46

7 0
3 years ago
Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a
kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be representedh(t)=-16t^2+20t.

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?  

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}

\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}

\text{Average rate of change}=\frac{6}{\frac{1}{2}}

\text{Average rate of change}=\frac{2\cdot 6}{1}

\text{Average rate of change}=12

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0
3 years ago
5,5,3 Is this a triangle? Explain.
Vlad1618 [11]

Problem 1

Answer: <u>Yes</u> a triangle can be formed with side lengths 5,5,3

--------------------

Explanation:

Take any two sides and add them up. If we get a sum larger than the third side, then a triangle is possible. This is the triangle inequality theorem.

5+5 = 10 is larger than 3

5+3 = 8 is larger than 5

This shows a triangle is possible. The triangle is isosceles because two sides are the same length.

==========================================================

Problem 2

Answer: <u>Yes</u> a triangle can be formed with side lengths 8,8,8

--------------------

Explanation:

This triangle is equilateral because all sides are the same length.

Take any two sides, add them up, and you'll find the sum is larger than the third side.

==========================================================

Problem 3

Answer: <u>No</u> a triangle cannot be formed with sides 7,8,15

--------------------

Explanation:

Yes it is true that

8+15 = 23 is larger than 7

7+15 = 22 is larger than 8

but

7+8 = 15 is not larger than 15

So this means a triangle is not possible.

Imagine you had 3 strips of paper that were 7 inches, 8 inches and 15 inches long. The 7 and 8 inch strips add to 15 inches, but those two smaller strips only form a straight line. We cannot pull them so a triangle forms. If we did, then the third side would be smaller than 15 inches. This is one way to get hands on to see why the triangle inequality theorem works.

==========================================================

Problem 4

Answer: <u>Yes</u> a triangle is possible with side lengths 5,6,10

--------------------

Explanation:

Same idea as before. We can take any two sides, add them, and get a sum larger than the third side. A triangle is possible.

  • 5+6 = 11 is larger than 10
  • 6+10 = 16 is larger than 5
  • 5+10 = 15 is larger than 6
4 0
3 years ago
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