Suppose that you purchase a machine for $800 at the beginning of the year and that the value of the machine on the retail market drops by $16 per month. Write a linear model for the current value P of the machine on the retail market (in dollars) at year
t (with t=0 being the year that the machine was purchased).

Note: the '' P(t)= '' is already provided and pay attention to units.

Answers

Answer 1

Hi

T (0) = 800

T(n+1) = T (n) - 16

General formula is  :  T(n) = 800- 16*n  

with "n" the year you are.  

exemple :  if you search value of machine at year 3,  it's value is  :

t(3) =800 -16*3

t(3)= 800 -48

t(3) = 752


Related Questions

is 4/3 and 3/4 equivalent fractions

Answers

Answer:

no

Step-by-step explanation:

3/4 is equivalent to 6/8,9/12, and 15/20

No, 4/3 is greater than 3/4

A dish containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16 How many times larger is the diameter of the dish than the diameter of the bacterium

Answers

For a dish that is containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16, the number of times that the diameter would be larger is 10¹² times.

How to solve for the diameter

We have the diameter of the dish to be 0.0001

This is the same as 10⁻⁴

The bacterium has the diameter at 10^-16

The difference between the diameter of the dish than the bacterium would be solved by

1 x 10⁻⁴ / 10^-16

= 10¹²

Hence we would have to say that for a dish that is containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16, the number of times that the diameter would be larger is 10¹² times.

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The school book fair has 72 nonfiction books and 328 fiction books for sale what percent of the book fair is non-fiction books

Answers

All you do to find the percent of nonfiction books is to divide 72 by 328. That would get you 21.95122. So basically 22%

Answer =About 22% of the books are nonfiction

The cost of a ticket to the circus is $14.00 for children and $38.00 for adults. On a certain day, attendance at the circus was 700 and the total gate revenue was $19,400. How many children and how many adults bought tickets?

Answers

Answer:

300 children and 400 adults

Step-by-step explanation:

14(x) + 38(700-x) = 19,400

14x + 26,600 - 38x = 19,400

14x - 38x = -7,200

-24x = -7,200

24x = 7,200

x = 300

x = childrens

700 - x = adults

300 = children

400 = adult

Solve: -8+6x+5X+-11-7

Answers

[tex]\bold{H \: e \: y \: o \: !}[/tex]

____________________

Let's simplify step-by-step ~

______________________

[tex]\sf{-8 \: + \: 6x \: + \: 5x \: + \: - \: 11 \: - \: 7}[/tex]

[tex]\sf{= -8 \: + \: 6x \: + 5x \: + \: - \: 11 \: + \: - \: 7}[/tex]

_______________________

Combine like terms:

[tex]\sf{= \: -8 \: + \: 6x \: + \: 5x \: + \: - \: 11 \: + \: -7}[/tex]

[tex]\sf{= \: (6x \: + \: 5x) \: + \: (-8 \: + \: -11 \: + \: -7)}[/tex]

[tex]\sf{= \: 11x \: + \: -26}[/tex]

[tex]\huge{\mathcal{\boxed{\rightarrow \: = \: 11x \: - \: 26}}[/tex]

Hope It Helps!

A n s w e r e d : -  ᴀᴅʀɪᴀɴɴᴏɪʀ

before leaving to visit Mexico, Levant traded 270 American dollars and received 3,000 Mexican pesos. when he returned from Mexico, he had 100 pesos left. How much will he receive when he exchanges these pesos for dollars?.​

Answers

He will receive $ 9 when he exchanges 100 pesos for American dollars.

We are given that:

Levant received 3000 Mexican pesos for 270 American dollars.

So, by using the unitary method, we will calculate the rate of 1 Mexican pesos for American dollars.

So, we get that:

3000 Mexican pesos = $ 270

1 Mexican Peso = $ 270 / 3000

1 Mexican Peso = 0.09

Now, we are also given that Levan has 100 pesos left.

So,

100 pesos = $ 0.09 × 100

100 pesos = $ 9

Therefore, he will receive $ 9 when he exchanges 100 pesos for American dollars.

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Answer if you know your right, bur don't answer just for the points

Answers

Answer:

42% is less than 5/8

Step-by-step explanation:

If 42% is converted to a fraction, it comes out to 21/50, which is smaller than 5/8. You could also convert 5/8 into a percentage, which comes out to 62.5%. :)

Answer:

42% < 5/8

Step-by-step explanation:

We're going to change 5/8 to a percent. All you have to do is 5/8, which is 0.625. If you want to convert a decimal to a fraction, you move the decimal 2 places to the right, which is 62.5. Therefore, 42% is less, or < than 5/8.

solve the equation
y + 8 = 3

y =

Answers

Answer  

the answer to the question is -5

Step-by-step explanation:

Determine the sum of the first n terms of the geometric sequence for the values of a, and r.
n = 4, a₁ = -3, r = 3

Answers

Step-by-step explanation:

gsvsvhsjjsbsbheeb dbdjdbdurjr rjrnir

Solve |3x-2| = |x + 1|

Answers

The value of x for given MOD equation is 1.5.

What is MOD?

The portion left over after dividing one integer by another is known as the modulo (or "modulus" or "mod"). As an illustration, 100 9 = 11 with a leftover of 1, hence 100 mod 9 equals 1.

When two numbers are split, the modulo operation in computing yields the remainder or signed remainder of the division (called the modulus of the operation).

According to the given value;

|3x-2|=|x+1|

3x-2=x+1

3x-x=1+2

2x=3

x=3/2 = 1.5

The value of x for given MOD equation is 1.5.

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the expression sinx + cotx cosx can be simplified to what

Answers

after simplifying the expression sinx + cotx cosx, we get the result as cosec x.

We are given the expression:

sinx + cotx cosx

We need to simplify the expression.

We know that cot x can also be written as

cot x = cos x / sin x

Substituting it in the expression, we get that:

= sin x + ( cos x / sin x ) cos x

opening the brackets, we get that:

= sin x + cos² x / sin x

= (sin² x + cos² x ) / sin x

Using the trigonometric identity that sin² x + cos² x = 1, we get that:

= 1 / sin x

= cosec x

Therefore after simplifying the expression sinx + cotx cosx, we get the result as cosec x.

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Start with the graph of the absolute value function. Stretch it by a factor of 3 and shift 2 units up.

Answers

The absolute value function of the given expression is g(x) = 3*Ix + 2I.

What is the role of absolute value?

The absolute value function is often assumed to provide the number's distance from zero on a number line. Algebraically, the output is really the value without respect to sign regardless of what the input value is.

According to the given data:

Let's define transformations in broad strokes.

A vertical stretch with scale factor A is denoted by:

g(x) = A*f(x)

A vertical shift in A units is denoted by:

g(x) = f(x) + A

If A is positive, the shift is positive; if A is negative, the shift is negative.

A horizontal shift in A units is denoted by:

g(x) = f(x - A)

If A is greater than zero, the shift is toward the right.

The shift  to the left if A is negative.

Then we begin with the maximum value parental function f(x) = IxI.

"The graph of both the absolute value parent function has been stretched vertically by a factor of three."

we can start with:

g(x) = 3*f(x)

"then shifted two units left"

g(x) = 3*f(x - (-2))

and since f(x) = IxI, they have:

g(x) = 3*Ix + 2I

the absolute value function of the given expression is g(x) = 3*Ix + 2I.

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10 times a number equals 10 less than 12 times a number what is the number

Answers

Answer:

Step-by-step explanation:

Mathematically the statement can be written as 10x=12x-1010x-12x=-10-2x=-10[tex]\frac{-2x}{-2} =\frac{-10}{-5} \\x=5[/tex]That number is 5

Answer:

10×V=10-12×V=

Step-by-step explanation:

this is how for I understand it buh if am wrong my bad

The endpoints of CD are -6 and 15. Find the point P that partitions the segment
into the ratio 1:5.

Answers

The point P that partitions the segment into the ratio 1:5 is 3.5

How to find the location of P?

The given parameters are

C = -6

D = 15

P = 1 : 5

The location of point P is calculated as

P = 1/(1 + 5) * (D - C)

This gives

P = 1/6 * (15 + 6)

Evaluate

P = 3.5

Hence, the point P that partitions the segment into the ratio 1:5 is 3.5

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The blue prints (scale drawing) of a new strip mall are 2 feet by 9 feet. The actual strip mall is 200 feet by 900 feet. What is the scale factor from the blue prints to the actual mall?

Answers

The scale factor from the blue prints to the actual mall is 1:100.

How to calculate the value?

From the information, the blue prints (scale drawing) of a new strip mall are 2 feet by 9 feet and the actual strip mall is 200 feet by 900 feet.

Therefore, the scale factor from the blue prints to the actual mall will be:

= 200 / 2

= 100

Therefore, the scale factor from the blue prints to the actual mall is 1:100.

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Help now please. Will mark brainliest

Answers

Answer:

The expression that shows a valid step in

the process of finding the decibel level of the noise is dB = 10 log 150,000. Option C is correct

Given the equation for calculating the intensity of sound which is measured in decibel expressed as:

dB=10 log l

where;

I is the ratio of the sound to the human hearing threshold

Given that noise is 150,000 times greater than the human hearing threshold.

Substitute | = 150,000 into the expression above;

dB = 10 log 150,000

If this is correct, brainliest please.

5. If that same manufacturer miscalculates the demand of the market and manufactures 5,000 dozen of those sweaters, but only sells 3,000 dozen, what is the total profit from the sweaters? (Show your calculations.) $ profit. ​

Answers

If a manufacturer manufactures 5,000 dozen of sweaters, and sells 3,000 dozen of them only, then the total profit he/she earns from the these sweaters is [1000(3x - 5y)], assuming that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y".

As per the question statement, a manufacturer miscalculates the demand of the market and manufactures 5,000 sweaters, but sold only 3000 of them.

We are required to calculate the total profit earned by the manufacturer from the sale of the sweaters.

Since, no data about the manufacturing cost of the sweaters and their selling price is provided in the question statement, let us assume that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y". Solving with these variables will give us a generalized answer which we can use for any value.

Now, Since assumed that, manufacturing cost of one sweater is "x", then, manufacturing cost of 5000 sweaters will be [tex](5000*x)=5000x[/tex].

Similarly assumed that, selling cost of one sweater is "y", and then, selling cost of 3000 sweater will be [tex][(3000*y)=3000y][/tex].

Now, we know that,

[Profit = (Total Selling Cosy) - (Total Manufacturing Cost)],

Therefore, in this case, total profit from the sale of 3000 sweaters

[tex]=(3000y-5000x)\\=1000(3y-5x)[/tex].

Now, on using real integers or numbers in place of "x" and "y", if the value of Profit comes negative, it will mean, that for those values of "x" and "y", the manufacturer makes loss, not profit.

Profit: On sale of any goods, a person makes profit if he/she can sell the goods for a higher value than what they had bought for, or what they had manufactured at and is thus, calculated as the difference of total selling price of the goods and the manufacturing cost or buying price of them.Loss: This is the exact opposite of profit and is calculated as the difference of manufacturing cost or buying price of the goods and their selling price.

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Is this triangle below a right triangle? Show all necessary work to prove your answer

Answers

Answer:

yes it is a right triangle because it forms a right angle between the 6 cm and 7 cm.

Answer:

yes

Step-by-step explanation:

draw the symbol for the 90 degrees in the part between 6 and 7



sets you can form using only the elements in the set (5, 7, 9).

Answers

Answer:

va de 3 Ok qjwjqjwjwjsjsh

Step-by-step explanation:

wjwjwjwhwhwjjde

m∠2=30 find m∠4
Please help!

Answers

Step-by-step explanation:

the answer is, so we are adding and multiplying by 2, so here is the answer: m<4=60

Answer:

m∠2 and m∠4 are opposite angles, this means that they are the same. Since m∠2 is 30 degrees, m∠4 is also 30 degrees.

need help with this ​

Answers

Answer:

1

Step-by-step explanation:

1 is the number in which its reciprocal is its own because 1 has both the same numerator and denominator which means the reciprocal is the same. For example, 1/1 is equal to 1 and the reciprocal of 1/1 is 1/1

2/2 is equal to 1 and the reciprocal of 2/2 is 2/2

This can keep going on and on.

Hope this helps!

Under her cell phone plan, Fatoumata pays a flat cost of $59 per month and $3 per
gigabyte. She wants to keep her bill under $75 per month. Which inequality can be
used to determine x, the maximum number of gigabytes Fatoumata can use while
staying within her budget?

Answers

Answer:

[tex]59 + 3x < 75[/tex]

Step-by-step explanation:

We know from the question that Fatoumata pays a flat cost of $59 per month and $3 per gigabyte.

If we consider [tex]x[/tex] to be the number of gigabytes she uses in a month, then her bill every month can be represented by the following expression:

[tex]59 + 3x[/tex] .

We are told that the bill has to be kept under $75. Therefore:

[tex]59 + 3x < 75[/tex]

This inequality can be used to solve for [tex]x[/tex], and so we can use it to find the maximum number of gigabytes she can use while keeping the bill under $75.

The inequality for the maximum number of gigabytes Fatoumata can use while staying within her budget will be equal to $59 + $3(x) < $75.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Price of cell phone plan per month = $59

The price per gigabyte = $3

Then, the equation as per the statement will be,

$59 + $3(x)

Here, x is the number of gigabytes used in a month.

So, the inequality will be,

$59 + $3(x) < $75

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find the number n of hours you need to study on saturday so that the mean number of hours is 1.75

Answers

The value of the n in the mean value is 1.

According to the statement

We have to find that the value of the n in the mean.

So, For this purpose, we know that the

Mean is the simple mathematical average of a set of two or more numbers.

From the given information:

The mean number of hours is 1.75

Then

We are given that

Day       Hours

Sunday    0

Monday   1.5

Tuesday    2.5

Wednesday  2.5

Thursday       3

Friday            0

Saturday       n

Mean number of hours of  study per day=1.5

Then

Total number of days=7

Using the formula:

Mean = sum of data / Total number of the data points

1.5 = 9.5+n / 7

1.5*7 = 9.5+n

10.5 =  9.5+n

n =  10.5 - 9.5

n = 1.

So, The value of the n in the mean value is 1.

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650 ft.² divided by 2/3 of an hour

Answers

The value of 650 ft.² divided by 2/3 of an hour is 975 ft² per hour

How to evaluate the quotient?

The mathematical statement is given as

650 ft.² divided by 2/3 of an hour

This can be represented properly as:

650 ft.² / 2/3 of an hour

2/3 of an hour is

2/3 of an hour = 2/3 hr

So, we have

650 ft.² / 2/3 of an hour = 650 ft.² / (2/3 hr)

Evaluate the quotient

650 ft.² / 2/3 of an hour = 975 ft² per hour

Hence, the value of 650 ft.² divided by 2/3 of an hour is 975 ft² per hour

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A bouquet has 6 roses and 21 other types of flowers. What is the ratio of roses to other flowers?

Answers

Answer:

6:21

Step-by-step explanation:

because there is 6 roses and 21 other types 6/21 = 6:21

Answer:

6:21

ratio indicates how many times one number contains another.

it can be simplified to 2:7, because the HCF of 6 and 21 is 3, it's been divided by 3.

hope it helps.

what is
3x+2(4x-4)=3

Answers

Answer:

x = 1

Step-by-step explanation:

Distribute

3x + 8x - 8 = 3

Gather like terms

11x - 8 = 3

Add 8 to both sides

11x = 11

Divide both sides by 11

x = 1

=* When the stock market fell, Hayes lost 18% of the value of his stocks. The
stock was worth $2,486.95 before the loss. What was the stock worth after
?the loss

Answers

Answer:

Approximately $2,039.30

Step-by-step explanation:

Original value = $2,486.95

Value lost = 18%

100% value = $2,486.95

100% - 18% = 82% value remaining

.82 x 2,486.95 = 2039.299 or $2,039.30

help would be appreciated :)

Answers

Answer: Trust me if you want but I think it is parallelogram. Maybe?

Which sentence correctly compares the two numbers 24.204 and 24.240?

Answers

Answer:

24.204 < 24.240

Think:

24.204 = 24,204

24.240 = 24,240

Which is greater?

24,240 is.

⇒ Hope this helps!


Accounts Payable may sometimes include non-current or long-term payables in certain circumstances.
True
False

Answers

Accounts Payable may sometimes include non-current or long-term payables in certain circumstances is False

Non-current or long term  liabilities are obligations to be paid after 12 months or a operational cycle. It is opposite of current liabilities, where the debts are short-term and its maturing is within twelve months.

Non-current liabilities arises when the company is using  long term loans for the business requirements. Businesses may also require to finance the capital expenditure from time to time.

Accounts payable shows that the purchases that are unpaid by the organization . The accounts payable is the most important portion of the current liabilities of the company’s financial statements.

The business rules states that short term obligations shall be fulfilled out by current assets.

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