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iragen [17]
2 years ago
7

The sum of 6 consecutive even numbers is 270. What is the second number in this sequence?

Mathematics
1 answer:
KonstantinChe [14]2 years ago
4 0
Lets find all the numbers..

x (1st number)
x + 2 ( 2nd number)
x + 4 (3rd number)
x + 6 (4th number)
x + 8 (5th number)
x + 10 (6th number)

Now add all those expressions and set them equal to 270 because that is the total.

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 270
6x + 30 = 270
6x = 240
x = 40

Now we will substitute 40 for x in the expression of the second number.

x + 2
40 + 2
42

So the second number is 42

Hope this helps :)
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Answer

The function represents the car’s value after x years.

f(x) = 20,000(0.85)x

Reason

As given

Terrence buys a new car for $20,000.

The value of the car depreciates by 15% each year.

15 % is written in the decimal form

= \frac{15}{100}

= 0.15

Thus

The decrease in the value of car is represented by = a (1 - r)× t

Where a is the original cost

r is the depreciates rate in decimal form

t is time in years.

Here a = $20000 ,r = 0.15 , t = x years

The value of car after x years = 20,000 (1 -0.15)x

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Therefore the the value of the car after x years is represented by  f(x) = 20,000(0.85)x .

4 0
2 years ago
Read 2 more answers
In order to produce 100 oatmeal cookies, Goodie Cookie Co. incurs an average total cost of $0.25 per cookie. The company’s margi
amm1812

Answer:

Option D : $20

Step-by-step explanation:

The average total cost to produce 100 oatmeal cookie = $0.25 per cookie.

So, total cost for 100 cookies will be = 0.25\times100=25 dollars

The company’s marginal cost is constant at $0.10 for all oatmeal cookies produced.

When 50 cookies are produced, the marginal cost will be = 0.10\times50=5dollars

The total cost to produce 50 oatmeal cookies = 25-5=20 dollars

Hence, option D is correct.

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2 years ago
It takes Daphne 25 minutes to assemble a model plane. During her work day Daphne takes 30 minutes for lunch and one 15 minute br
natka813 [3]

Answer:

<h2>y=25p-45</h2>

Step-by-step explanation:

We first of all start by cumulating all the time she spent for break

lunch= 30min

break= 15min

total break= 45min

also the time taken to assemble one model plane 25min

let the number of hours be p

and the total number of model plane be y

The model is

y=25p-45

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2 years ago
Perform the following computations. retail price of steel-belted radial tire = $89.50 discount offered = 10% federal tax = 12% l
RUDIKE [14]
For the answer to the question above
Retail price of steel-belted radial tire = $89.50 
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Selling price = $80.55 +$9.67+$4.03 =$94.25
I hope my answer helped you. Feel free to ask more questions. Have a nice day!
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2 years ago
Victoria filled up her car with gas before embarking on a road trip across the country. The car uses 1.75 gallons of gas for eve
lozanna [386]

Answer:

G = 14 - 1.75(t)

Where G is the number of gallons of gas remaining;

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Step-by-step explanation:

Here, we want to write an equation.

We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left

In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons

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Hence, the equation we want to write will be;

G = 14 - 1.75(t)

6 0
2 years ago
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