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Wittaler [7]
3 years ago
12

Claire has a small personal business making scented candles. Her startup costs are $200. Her cost to make each candle is $1.50.

She sells each candle for $4.00. Write the cost function of producing x candles.
Mathematics
1 answer:
Svetllana [295]3 years ago
5 0

Step-by-step explanation:

If we assume A = the amount of candles she produces and sells then we can assume this equation.

(4.00×A) - ((A×1.50)+200)

The first part is calculating how much Claire makes at first with her candles being sold while taking account of the amoubt of candles and the cost for making one.

The second part is for the Amount of candles and the cost of starting and the cost of each candle and that amount is the amount Claire will lose and subtracted by the first amount.

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Mathematics, Help, not sure about my answer on this one
olga nikolaevna [1]

Answer:

F. 2 1/9

Step-by-step explanation:

Step 1: Substitute q

r = 3(\frac{1}{3^n} )+2

When you plug in <em>n</em> = 1, 2, 3:

n(1) = 3

n(2) = 2.11111

n(3) = 2.3333

So our answer is F.

3 0
3 years ago
Which graph represents the solution set of y=x^2+4x+3and y=2x+6?
rewona [7]

Answer:

(1,8) and (-3,0)

Step-by-step explanation:

We simply graph the two functions in the same graph. The solution set to the system is given by the points where the two functions intersect. For this case, the two functions intersect at;

(1,8) and (-3,0)

The solution set is thus; (1,8) and (-3,0)

Check the attachment below;

3 0
3 years ago
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1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING
iogann1982 [59]

If

y=\displaystyle\sum_{n=0}^\infty a_nx^n

then

y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n

The ODE in terms of these series is

\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0

\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0

\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}

We can solve the recurrence exactly by substitution:

a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0

\implies a_n=\dfrac{(-2)^n}{n!}a_0

So the ODE has solution

y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}

which you may recognize as the power series of the exponential function. Then

\boxed{y(x)=a_0e^{-2x}}

7 0
3 years ago
10,000 more than 395,040is?
Marizza181 [45]
405,040 hope that helps.
7 0
3 years ago
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Two opposite sides of a rectangle are each of length x. If the perimeter of the rectangle is 12, then the area, as a function of
Reil [10]

Answer: x(6-x)

Step-by-step explanation:

Given : Two opposite sides of a rectangle are each of length x.

Let the other adjacent side be y.

The perimeter of the rectangle is 12 units.

Perimeter of rectangle is given by :-

P=2(\text{Sum of adjacent sides})\\\\\Rightarrow\ 12=2(x+y)\\\\\Rightarrow\ x+y=\dfrac{12}{2}=6\\\\\Rightarriow\ y=6-x

The area of rectangle is given by :-

A=\text{product of two adjacent sides}\\\\\Rightarrow\ A=xy=x(6-x)

Hence, the area as a function x = x(6-x)

7 0
3 years ago
Read 2 more answers
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