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

You must exert a force of 4.5 N on a book to slide it across a table. If you moved it 5 meters. How much work was done on the book?

Answers

Answer:

22.5 J

Step-by-step explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 4.5 × 5

We have the final answer as

22.5 J

Hope this helps you

Which expression has a solution of 6, if r = 4?

1. r + 2
2. 4 - r
3. 10 + r
4. r - 10

Answers

Answer:

1.

Step-by-step explanation:

1. 4 + 2 = 6

2. 4 - 4 = 0

3. 10 + 4 = 14

4. 4 - 10 = -6

number 1 is the right answer

Answer:

1.

Step-by-step explanation:

If the two triangles are similar,what is the length of the missing side?

Answers

Answer:

8 m

Step-by-step explanation:

7.5 - 1.5 = 6

2 + 6 = 8

Expert Answer Please Find The Area Of A Circle With R=13.8 Explain Answer!

Answers

Answer:

if r= to 13.8 so the answer is 598.28

Help me pls I give points

Answers

Answer:

c=14.87

Step-by-step explanation:

use pythagorean theroem

10^2 + 11^2 =c^2

solve

100+121=c^2

c^2=221

c=14.87(rounded to nearest hundredths )

I’ll give brainless too who ever respond fast and correctly.

Answers

i’ll comment so you can get branliest :)

Justin completes 8 extra credit problems on the first day and then 4 problems each day until the worksheet is complete. There are 28 problems on the worksheet. Write and solve an equation to find how many days it will take Justin to complete the worksheet after the first day.

Answers

Answer:

28-8-4x=0

x=5

5 days

Step-by-step explanation:

28-8=20 problems left

then 4 each day

PLEASE HELP ME!!!! I WILL MARK!!!

Answers

Answer:

6(x - 3 ) = 6x - 18

2(3x - 3) = 6x - 6

Step-by-step explanation:

lily wants to put a bird food mix in her bird feeder.Her bird feeder can hold 8 cups of bird food.The bird food is a mix of 20% corn and the rest is sunflowers seeds how many cups of corn will lily need to fill the 8 cup bird feeder.If the rest of the mix is sunflower seed,what percent of the bird food is sunflower seed.

Answers

Answer:

80%

Step-by-step explanation:

100% is full so you do 100%-20%=80% so thats the answer

How do I solve this arithmetic sequence?

Answers

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Decide whether it is possible for a triangle to have the three angle measures or three side lengths given.
If it is possible, then decide whether all such triangles are congruent.

Answers

Answer:

Step-by-step explanation:

the first one cant be a triangle

im pretty sure the second one can

the third one can

im pretty sure the fourth one cant

solve eqn by factorisation method
2x squre-50x=0​

Answers

Answer:

0 or 25

Step-by-step explanation:

To solve for x

we first factor

2x^2-50x=0

2x(x-25)=0

To make this equation 0 x has to be 0 or 25

PLEASE HELPPPPPPPPPPPP

Answers

Answer:

Half of 7 is 3.5

That would be your radius.

3.5^2 x 3.14

12.25 x 3.14 = 38.465 yd2 <--------- area

3.14 x 3.5 x 2 = 21.98yd <------- perimeter

Find the equation of the line pls helppppppp

Answers

Answer:

y=2x+4

Step-by-step explanation:

y=2x+4

Answer:

y = 2x + 4

Step-by-step explanation:

The formula for the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. The y-intercept is where the line passes through the y-axis, which would be (0,4), which is positive. To find the slope, find where the line passes through a point, and then count how many units there are till the next point. For this example, you could start from the y-intercept, (0, 4) and to get to the next point, you will go up 2 units, and the right 1 unit. This means that the slope is 2/1 (because it's rise over run) which is the same as 2. So just plug it into the equation, and you get y = 2x + 4.

I hope this helped! :)

x^2-8x+15
expresión racional ​

Answers

Answer:

x = 3, 5

Step-by-step explanation:

(x - 3)(x - 5) = 0

Question 7: The red line has an equation of y = -1/2 x + 2. The blue line is perpendicular to the red line. Write the equation for the blue line. EXPLAIN PLS

Answers

Answer:y=2+2x

Step-by-step explanation:

Perpendicular means the slope is the opposite reciprocal of the red line’s. Opposite reciprocal means that if the red line has a negative slope the blue line will have a positive one, and you flip the fraction of the red line from 1/2 to 2. The y intercept is at 2 so that’s why there is a +2

628.319 rounded to the nearest tenth

Answers

Answer: 628.3

Step-by-step explanation: Tenth is always the first decimal point so 1 rounds down, making it 628.3.

Answer:

628.3

Step-by-step explanation:

A Tenth is the number after the dot. It rounds down 3, therefore, the answer is 628.3.

Triangle

Quadrilateral

Pentagon

Hexagon

Heptagon
1. ________________________

2.______________________

3. ______________________

4. ______________________

5. ______________________
sorry 32 points nalang meron ako​

Answers

Answer:

octagon  enneagon decagon hendeka

Step-by-step explanation:

Find the surface area of the prism. Whoever solves this will guarantee get Brainliest Answer!!!

Answers

To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

Hope this helps!

Find the surface area of the prism.

Answers

Answer:

30 i think

Step-by-step explanation:

A computer tablet is 0.24 meter long. How long is the computer tablet in centimeters?

Answers

Answer:

24 cm long

Step-by-step explanation:


Find the length of the diagonal of
rectangle whose length
is 12ft and whose
width 5 ft

Answers

Answer:

13 ft

Step-by-step explanation:

The formula to find the length of the diagonal of a rectangle =

Diagonal² = Length² + Width²

Diagonal = √Length² + Width²

Length = 12 ft

Width = 5ft

Diagonal = √12² + 5²

Diagonal = √144 + 25

Diagonal = √169

Diagonal = 13 ft

The length of the diagonal of the rectangle = 13 ft

Find the value of k and x2
x^2+ 13x + k = 0, x1=-9

Answers

Given:

The quadratic equation is:

[tex]x^2+13x+k=0[/tex]

[tex]x_1=-9[/tex]

To find:

The value of k and [tex]x_1[/tex].

Solution:

We have,

[tex]x^2+13x+k=0[/tex]                ...(i)

Putting [tex]x=-9[/tex], we get

[tex](-9)^2+13(-9)+k=0[/tex]

[tex]81-117+k=0[/tex]

[tex]-36+k=0[/tex]

[tex]k=36[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]x^2+13x+36=0[/tex]

Splitting the middle term, we get

[tex]x^2+9x+4x+36=0[/tex]

[tex]x(x+9)+4(x+9)=0[/tex]

[tex](x+9)(x+4)=0[/tex]

[tex]x=-9,-4[/tex]

Here, [tex]x_1=-9[/tex] and [tex]x_2=-4[/tex].

Therefore, the required values are [tex]k=36[/tex] and [tex]x_2=-4[/tex].

You know this??????????????

Answers

Answer:

y=x+15

Step-by-step explanation:

HELP WILL GIVE BRAINLEASIT

Answers

Step-by-step explanation:

try to do 180 - 135 organise a 45-degree that is the first answer of a and b you're taking 180 - 144 you got the answer also 28 degrees

can someone help me with this please

Answers

Answer:

x=4

Step-by-step explanation:

so there are two triangles in that shape and they are similar to each other because their angles are equal and the ratio of their sides it 1:2

so the ratio of the side 5x & 40 is 1:2

5x/40=1/2

10x=40

x=4

what is the first 5 cubic numbers​

Answers

Answer:

1,8,27,64,125

Step-by-step explanation:

1, 6 8 27 64 125 is the answer

how many meters are their in centimeter​

Answers

Answer:

You mean how many centimerters are in a meter?

In that case 100.

Step-by-step explanation:

Mark is going to an awards dinner and wants to dress appropriately. He has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of Mark's possible outfits are listed below.

Ir we take outfits 1, 2, 5, and 6 as a subset of the sample space, which of the statements below describe this subset?

Choose all answers that apply:

(Choice A)
The subset consists of all the outfits that do not have a white shirt.


(Choice B)
The subset consists of all the outfits that have either a blue shirt or a black shirt.


(Choice C)
The subset consists of all the outfits that have a black shirt.


(Choice D)
The subset consists of all the outfits that have a white shirt.

Answers

Solution:

Outfit         Shirt       Slacks        Tie

Outfit 1      Blue        Black         Red

Outfit 2     Blue        Grey          Red

Outfit 3    White       Black         Red

Outfit 4    White       Grey          Red

Outfit 5    Black       Black         Red

Outfit 6    Black       Grey         Red

We take the outfits 1, 2 , 5  and 6 as a subset of the sample space.

So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.

The subset consists of all the outfits that do not have a white shirt.

So the correct options are :

1. (Choice A)

The subset consists of all the outfits that do not have a white shirt.

2. (Choice C)

The subset consists of all the outfits that have a black shirt.

A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bagels, and z onion bagels. Which expression represents the total amount Max spent at the bakery?
A.
1.09x + 1.59yz
B.
1.09x + 1.59y + 1.59z
C.
1.09x + 3.18(y + z)
D.
(1.09 + 1.59)(x + y + z)

Answers

Answer:

The answer is B.

Step-by-step explanation:

Answer:

B.

1.09x + 1.59y + 1.59z

I hope this helps

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