Tucker purchased $4,600 in new equipment for a catering business. He estimates that the value of the equipment is reduced by approximately 40% every two years. Tucker states that the function V(t)=4,600(0.4)2t could be used to represent the value of the equipment, V, in dollars, t, years after the purchase of the new equipment. Explain whether the function Tucker stated is correct, and, if not, determine the correct function that could be used to find the value of the equipment purchased.

Answers

Answer 1
Answer:
The function stated by Tucker is incorrect.
V(t) = 4600(0.8)^t
Step-by-step explanation:
Given the function :
V(t)=4,600(0.4)2t
The initial value of equipment = 4600
Decay rate = 40% of very 2 years
The value of equipment t years after purchase
The exponential decat function goes thus :
V(t) = Initial value * (1 - decay rate)^t
The Decay rate per year = 40% /2 = 20% = 0.2
V(t) = 4600(1 - 0.2)^t
V(t) = 4600(0.8)^t

Related Questions

Which of the following represents the factorization of the binomial below?
81x2 – 25y2
A. (9x - 5y)(9x - 5y)
B. (9x - 5y)(9x + 5y)
C. (9x - y)(x + 5y)
D. (9x + 5y)(9x + 5y)

Answers

Answer:

B. (9x - 5y)(9x + 5y)

Step-by-step explanation:

when you are factoring these, when you have a negative and a positive, there is a number that will cancel. in this case, when distributing the factors, the number 45xy and -45xy come up. those cancel.

Select the correct graph.

Which graph represents function f?

Answers

Answer: top right graph

Step-by-step explanation: Put in calculator and you will find the answer

If K is the center of the circle, which line segment is the radius?

Answers

the line segment KN is the radius

In a craft activity, students are making flowers using ribbon. Each student will make one flower and each flower requires 18 inches of ribbon. About how many meters of ribbon are needed for 32 students? Note that 1 meter equals about 1.09 yards. Round to the nearest hundredths place.

Answers

Answer:

jbhhj

Step-by-step explanation:

kkkk

What is the slope of this graph??

Answers

The Slope will be -1

Which expression is equivalent to the series
shown?

Answers

Answer:

I think, It is (a) The first one

Step-by-step explanation:

I hope that is useful for you :)

Answer:

The bottom left is the correct expression. The Second part is: 348255

Step-by-step explanation:

on edge, use summation formula for when the lower index isn't equal to 1

The average winter snowfall for Syracuse, New York, for December, January, February is 27.5 inches per month. If Syracuse receives 24 inches of snow in December and 32 inches in Januar how much snow is required in February to exceed the 3 month average?​

Answers

Answer: More than 26.5 inches

Step-by-step explanation:

Solve this equation :

[tex]\frac{32+24+x}{3} \geq 27.5[/tex]

x>26.5

"They kept on talking and kept on ooohing and aahing and Grandma Sands kept on interrupting breakfast..." (p 166) is an example of... *
5 points
personification
allusion
metaphor
onomatopoeia

Answers

Onomatopoeia: Imitate the sounds they describe.

What is HK?............help me answer this

Answers

Answer

C

Step-by-step explanation:

Is the first one correct and what are the ages?

Answers

For the first question (10a) I think 4x - 4 = 64 could also model the situation. For the ages, Ari is 17, Bill is 34, and Chris is 13. To check, we add them up and get a total of 64. Hope this helps.

Find the quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 11.
Week : 0 1 2 3 4 5 6
Population : 495,483,481,489,507,535,573

Answers

Answer: b

f(x)=5x^2-17x+495

f(11)=913

Step-by-step explanation:

I did some research and found an exam review sheet that had this same problem (worked out). This was all that was written.

The quadratic function that models the data will be;

y = 5x² - 17x + 495

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The model to estimate the number of fish at the lake on week 11 are;

Week = 0, 1, 2, 3, 4, 5, 6

Population = 495, 483, 481, 489, 507, 535, 573

Now,

Let the quadratic equation is;

y = ax² + bx + c

Substitute x = 0 and y = 495, we get;

495 = a × 0 + b × 0 + c

c = 495

Substitute x = 1 and y = 483, we get;

483 = a × 1 + b × 1 + c

483 = a + b + 495

a + b = 483 - 495

a + b = - 12   ... (i)

Substitute x = 2 and y = 481, we get;

481 = a × 4 + b × 2 + c

481 =  4a + 2b + 495

4a + 2b = 481 - 495

4a + 2b = - 14

2a + b = - 7   ... (ii)

Solve equation (i) and (ii), we get;

a = 5 and b = - 17

So, We get;

The quadratic equation is;

y = ax² + bx + c

y = 5x² - 17x + 495

Therefore, The quadratic function that models the data will be;

y = 5x² - 17x + 495

Learn more about the quadratic equation visit:

https://brainly.com/question/25841119

#SPJ2

What is the domain of f(x) = 9 - x^2

Answers

Answer:

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

,

)

Set-Builder Notation:

{

x

|

x

R

}

Locate the vertex of the parabola.

Tap for more steps...

(

0

,

9

)

The range of a parabola that opens down starts at its vertex  

(

0

,

9

)

and extends to negative infinity.

Interval Notation:

(

,

9

]

Set-Builder Notation:

{

y

|

y

9

}

Determine the domain and range.

Domain:  

(

,

)

,

{

x

|

x

R

}

Range:  

(

,

9

]

,

{

y

|

y

9

}

image of graph

(-♾, ♾)
(negative infinity, infinity)

1/4-1/20 in simplest form​

Answers

Answer:

1/5

Step-by-step explanation:

Answer: 1/5

Step-by-step explanation:

18
19
O 18-1/4
O
1/4"
1-1/4

Answers

Answer:

I think I don't understand the question

Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.

Answers

They can buy 6 workbooks with $90. To find the unit rate we simply divide the cost ($60) by the number of books (4). That gives us $15, the cost of 1 workbook. So now to find out how many workbooks can be purchased with $90, we divide 90 by 15. That’s how I got 6 workbooks. Hope this helps.

A regression would be appropriate for which of the following types of data settings A. Estimate the amount hot dogs sales for the Superbowl game in Saint's stadium based on a sample of the hot dog stands. B. Estimate the increase in lung cancer for smokers vs. non-smokers C. Predicts someone's blood alcohol level from the number of whiskey drinks they consumed D. All of the above

Answers

Answer:

C. Predicts someone's blood alcohol level from the number of whiskey drinks they consumed.

Step-by-step explanation:

In Statistics, classification problems are differentiated from estimation problems because classification problems typically requires that the output attribute be categorical while estimation problems require that the output attribute is numerical. In an estimation problem, the output variable has a continuous or real value, such as predicting the size, area, weight, age or even the cost of an item.

A Classification problem work with the concept of creating a succinct model such as decision trees, Naive Bayes, random forest, logistic regression, etc, which is capable of predicting from the attribute (observed) variables given; values of the dependent attribute, which is always categorical.

In order to predict a dichotomous variable from a given data set comprising of continuous or dichotomous variables, a logistic regression can be used.

Mathematically, it is given by the expression;

Logistic regression [tex] y [/tex] with [tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex]

Where;

y represents the dichotomous dependent variable.

[tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex] represents the predictable variables, which are categorical in nature such as alive or dead, win or lose, sick or healthy, pass or fail, etc.

Hence, a regression would be appropriate for predicting someone's blood alcohol level from the number of whiskey drinks they consumed.

Will give brainliest for correct answer

Answers

Step-by-step explanation:

10. not a function (repeating x values)

11 Function

12 not a function (repeating x values)

Tell whether each kind of angle is Right, Acute or Obtuse angle. Write your answer inside the box.​

Answers

Answer:

1. Right Angle

2. Acute Angle

3. Acute Angle

4. Obtuse Angle

5. Right Angle

Step-by-step explanation:

Please mark as brainliest

I cannot see the picture clearly enough but Hope this helps
90 degrees = right angle
Less than 90 is acute
More than 90 is obtuse

Which graph represents a direct variation?

Answers

I don't know all of them I guess since I can't see the graphs

Answer:

The graph of the direct variation equation is a straight line through the origin.

Step-by-step explanation:

Please help will mark brainliest.

Answers

Answer:

solution given.:

radius[r] =r

height[h]=1in

volume[V] of cylinder=196πin³

we have

volume[V] of cylinder=πr²h

196π=πr×1

r²=[tex] \frac{196π}{π}[/tex]

r=[tex] \sqrt{196} [/tex]

r=14in

so radius is 14in

Which image shows the position of
2
n a number line?
ОА
2
-1
0
1
OB.
th
1
-1
-3
- 2
2
3
Ос.
-2
0
-3
1
2
3
D.
+
-2
- 1

Answers

Answer:

b

Step-by-step explanation:

What are the maximum, minimum, range and mean?

Answers

Yh maximum is 6 and the minimum is 1

Please help immediately! also don't use a link to a website​

Answers

Answer:

Step-by-step explanation:

the radius is half the diameter:

7/2 : 2 = 7/2 x 1/2 = 7/4 cm

the circumference is:

diameter x π = 7/2π cm

the approximate circumference is

7/2 x 3,14 = 10,99 cm

-4x+5>-5 solve the equation is it greater than or less than

Answers

Answer:

x>5/2

Step-by-step explanation:

-4x+5>-5

-4x>-10

4x>10

x>10/4

x>5/2

Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale

Answers

Answer:

150 ft²

Step-by-step explanation:

Area of trapezoid = ½(a + b)h

Where,

a = 24 ft

b = 24 + 12 = 36 ft

h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)

Plug in the values

Area of trapezoid = ½(24 + 36)*5

= ½(60)*5

Area of trapezoid = 150 ft²

If the product of 5 and w to the
second power is equal to the sum of 9 and k, what is the NEGATIVE value of w makes this statement true if k=-4 ?

Answers

Answer:

-√1/5

Step-by-step explanation:

If the product of 5 and w to the second power is equal to the sum of 9 and k, this is expressed as;

(5w)² = 9 + k

Given that k = -4, on substituting;

(5w)² = 9 + (-4)

(5w)² = 9-4

(5w)² = 5

25w² = 5

5w² = 1

w² = 1/5

w = ±√1/5

w = -√1/5

Hence the NEGATIVE value of w is -√1/5

Help someone I just need the answer

Answers

there is no question

What is the volume of this container?

Answers

Answer:6000 cm3

Step-by-step explanation:You do 20x10x15=3000. Then you do 3000x2= 6000. So your answer will be 6000cm3

Evaluate the expression when a = 6 and x = -3.
-a+7x

Answers

So when you plug it in it would be -6+(-21) you solve it and your answer would be -27

PLEASE HELP! I WILL MARK BRAINIEST AND I WILL LOVE YOU SO MUCH!

Answers

Answer:

Step-by-step explanation:

c

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