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.

show work

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

Points that two lines pass through are given in the table. Match each point of intersection to the correct pair of lines.
(2, 0)
(-1, 3)
(1, 0)
(-1, -3)
(0, 2)
(-3, -1)

Answers


(2,0)(0,2
(-1,-3)(-3,-1)
(-1,3) (1,0)

Answer:

(2,0)(0,2

(-1,-3)(-3,-1)

(-1,3) (1,0)

Step-by-step explanation:

Norma builds a 1/8 scale Model of her own house.Her living room measures 12 feet by 28 feet. What are the dimensions of the models living room?

Answers

Answer:

1.5 feets by 3.5 feets

Step-by-step explanation:

Scale model = 1/8

Dimension of living room = 12 feets by 28 feets

The dimension of the model using the scale model given :

Scale model * dimension

1/8 * (12 feets by 28feets)

= 1.5 feets by 3.5 feets

Order the fractions from least to greatest.
1
-1.25, 0.125,
1
4

Answers

Answer:

-1.25, -1/4, -1/8, 0.125

Step-by-step explanation:

Answer:-1.25, -1/4, -1/8, 0.125

Step-by-step explanation:

Pamela rides her bike to the park. If she rides at a speed of 12 miles per hour, it
takes her 45 minutes to get to the park. How long will it take her to get to the
park if she rides at a speed of 8 miles per hour? *

Answers

Answer:

well to tell you its easy 4 me

explain how to multiply 641 by 63.

Answers

Answer:

sure

Step-by-step explanation:

1) line up 641 and 63

   641

x__63_

2) multiply 3 by 1 then 4 then 6 and carry the tenths place number if there is one

  1

  641

x__63_

  1923

3) add a zero under the 3 to hold the ones place and multiply 6 by 1 then 4 then 6 and since we’re working with the tenths place now and dont forget to carry numbers if you need to

     2

     641

  x__63_

     1923

  38460

4) add your two numbers together

    1 1    

    38460

+___1923_

     40383

so that is your answer “40383”

lol sorry that this was so long

Answer:

The answer is 40,383

Step-by-step explanation:

First, you set up the multiplication. 641 is the largest number so it goes on top.   63 is the smallest number so it goes on the bottom. Draw your line. Next, you multiply 3 by 1 which is 3. Then you multiply 3 by 4 and you get 12. Since this is a two digit number, the 2 goes below the line and the 1 you place on top of the 6. Next, you multiply 3 by 6 and get 18, but don't forget the 1 you placed on top! So you get 19. Then you cross out the 1 on top of the 6 and cross out the 3. After you cross out the numbers you add a 0 under the 3 with the number that is under the line. Then you start multiplying 6x1 which is 6. 6x4 which is 24, place the 4 under the line and bring the 2 on top of the 6. Then multiply 6x6 which is 36, add the 2 you brought on top which is 38. After you did all that work, add all the numbers and your answer is 40,383! Hope this made sense and hope it helps! :3

Ben needs to replace two sides of his fence. One side is meters long, and the other is meters long. How much fence does Ben need to buy?

Answers

Answer:

696 39/100 meters

Step-by-step explanation:

Ben needs to replace two sides of his fence. One side is 367 9/100 meters long, and the other is 329 3/10 meters long. How much fence does Ben need to buy?

Side A = 367 9/100 meters

Side B = 329 3/10 meters

How much fence does Ben need to buy?

Total fence Ben needs to buy = Side A + side B

= 367 9/100 + 329 3/10

= 36709/100 + 3293/10

= (36709+32930) / 100

= 69639/100

= 696 39/100 meters

Ben needs to buy 696 39/100 meters

John bought a $2,910 car on the installment plan.The installment agreement included a 15% down payment and 18 monthly installment payments of $161.56 each. A) How much is the down payment.B) What is the total amount of the monthly payments. C) what is the total cost he paid for the car. D) What is the finance charge.

Answers

9514 1404 393

Answer:

  down: $436.50

  payment total: $2,908.08

  total paid: $3,344.58

  finance charge: $434.58

Step-by-step explanation:

A) The down payment is 15% of the cost, so is ...

  0.15 × $2910 = $436.50

__

B) The total of the 18 monthly payments of $161.56 each is ...

  18 × $161.56 = $2908.08

__

C) The total amount paid for the car is the sum of the down payment and the  monthly payments:

  $436.50 +2,908.08 = $3,344.58

__

D) The finance charge is the difference between the amount paid and the original cost of the car:

  $3,344.58 -2,910 = $434.58

What correction does Petri need to make? BRAINLIEST I WILL CROWN

Answers

You need to subtract 5-3 first because of PEMDAS petri did it wrong because she did 5 to the power of 2 and 2 to the power of 2 instead of actually subtracting 5-3. So the answer is the last option:)

Eva uses 10 tiles to make a mosaic. Five of the tiles are blue. What fraction, in simplest form, represents the tiles that are blue?

Answers

Answer: 1/2

Step-by-step explanation:

From the question, we are informed that Eva uses 10 tiles to make a mosaic and that five of the tiles are blue.

The fraction that represents the tiles that are blue will be:

= Number of blue tiles / Total number of tiles

= 5/10

= 1/2

find the area of the following figure round to the nearest​

Answers

Answer:

lets divide the figure into two parts.

triangle base=2ft+2ft+6ft

triangle base=10ft

area of triangle = 1/2×base×height

area of triangle = 1/2×10ft×12ft

area of triangle =60ft²

area of square=side²

area of square=(6ft)²

area of square=36ft²

state four reasons why choice should be made in satisfaction human wants​

Answers

Since human wants are limitless it helps us to choose the best.
In order to avoid wastage of resources.
In order to pick the best from competitive products.
In order to choose the most urgent need.

Need help please thank you

Answers

Answer:

y = 4x+1

Step-by-step explanation:

Which line is parallel to y = 2 and goes through the point (3, 4)?

Answers

Answer:

y = 4

Step-by-step explanation:

Since it's y = 2,

there's no slope

So y = 4 is parallel to y = 2

y = 4 goes through the point (3, 4) since it's just one horizontal line hitting the y-axis

(-4,9);m=-1/2
Write the equation in point slope form

Answers

Answer: y-9=-1/2 x (x+4)

Step-by-step explanation:

how do you put this writing expression into a equation;

A number added to 13 all divided by 2

Answers

Answer:

Step-by-step explanation:

Let x be the number.

(x + 13)/2

5x-2y=15
2x+6y=-11
solve by substitution or equal values method

Answers

Answer:

Point form -

[tex](2-\frac{5}{2})[/tex]

Equation form -

[tex]x=2, y=-\frac{5}{2}[/tex]

Step-by-step explanation:

if you have any questions feel free to ask

AD is tangent to circle B at point C. What is the measure of BCA? O 40° O 50° O 90° O 180° ​

Answers

Answer:

C

90

Step-by-step explanation:

B is likely the center, I think. You can't do it otherwise.

The tangent and a radius of a circle meet at 90o

therefore the answer is 90.

All of this could be confirmed with a diagram.

what percentage of $15 is 75 cent​

Answers

Answer: What percentage is 15 out of 75?

20

Percentage Calculator: 15 is what percent of 75? = 20.

Answer:

5%

Step-by-step explanation:

What’s the opposite of -5/8

Answers

The opposite of -5/8 is 5/8.
It’s 5/8, |-5/8| = 5/8

Don't understand. Help please?​

Answers

Answer:

Length is 138 ft, area is 412 ft

Step-by-step explanation:

The length is determined by the perimeter, so add both side of the perimeter together, and you have your length. Area is determined by perimeter + Length, to add both sides of perimeter and length and you get 412 ft.

HELP!!!!! URGENT!!! A student surveyed his classmates to determine their favorite sport. According to the circle graph which statement must be true?

Answers

Answer:

25.5 / 3 = 8.5

8.5 times more student prefer basketball over soccer

Step-by-step explanation:

Answer:

C: Half the people surveyed liked baseball or football

Step-by-step explanation:

25% + 25% = 50% which is 1/2 of the surveyed population

Find a85 of the sequence 4,9,14,19,….

Answers

4,9,14,19,24,29,34,39,44,49,54,59,64,69,74,79,84,89

Answer: 424

Step-by-step explanation:

Bart designed a logo using circles of different sizes. The diameters of three of the circles are

shown. Which measurement is closest to the area of the largest circle in square centimeters?

A 20.7 cm2

B 136.8 cm2

C 34.2 cm2

D 65.1 cm

Answers

Answer:

B 136.8 cm²

Step-by-step explanation:

Add the diameters of the three smaller circles to find the diameter of the largest circle.

D = 3 cm + 2.5 cm + 1.1 cm = 6.6 cm

area = πr²

area = 3.14 × (6.6 cm)²

area = 136.8 cm²

guys what is m=4 i really need help

Answers

Answer:

m equals four means that you need to multiply the 4 by what is infront of the m aka the 4

HELP!!!!! What is the geometric mean of 3 and 7?

Answers

Answer:

4.5826

Step-by-step explanation:

It is Square root of 22


Can someone explain this step by step pls and no links

Answers

Answer: 12

Step-by-step explanation: Use the quadratic equation to solve the equation.

a = 1

b = -8

c = 12

Answer:

x=6 is the answer

Step-by-step explanation:

x squared -8 x +12=0

6 squared=36

36-8x +12=0

x= 6 so 8*6 =48

36-48+12=0

36-48= -12

-12+12=0

hope this helps

Find the measure of the missing angle

Help please

Answers

Answer:

≈ 56°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin ? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{34}{41}[/tex] , then

? = [tex]sin^{-1}[/tex] ( [tex]\frac{34}{41}[/tex] ) ≈ 56° ( to the nearest degree )

(a-1)+(b+3)i = 5+8i

please answer me quickly i need it please

Answers

Answer:

a = 6, b = 5

Step-by-step explanation:

Assuming you require to find the values of a and b

Given

(a - 1) + (b + 3)i = 5 + 8i

Equate the real and imaginary parts on both sides , that is

a - 1 = 5 ( add 1 to both sides )

a = 6

and

b + 3 = 8 ( subtract 3 from both sides )

b = 5

I really need help please and thank you

Answers

Answer:

x = 8

Step-by-step explanation:

You can set up the equation 6/4 = 12/x and then cross multiply to solve for x

The perimeter of a piece of paper is 38 inches. Its length is 11 inches.

Find the area of the piece of paper.

Answers

Answer:

Buddy this might not be the correct answer but I got either 98 or 418 inches. Don't quote me on it though.

Step-by-step explanation:

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