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Sedaia [141]
2 years ago
15

Burnem Inc. manufactures thumb drives and sells them to a distributor. Burnem's total cost and total revenue (in dollars) for x

thumb drives are given by the following equations. Total cost = 4x + 4884 and Total revenue = 15x How many thumb drives must Burnem sell to break even?
Mathematics
1 answer:
AlladinOne [14]2 years ago
3 0

Answer:

444 thumb drives

Step-by-step explanation:

Break even is the point at which the proceeds are equal to the costs i.e. when Total cost = Total revenue. So using the equations provided, the breakeven point for Burnem Inc. will be 4x + 4884 = 15x, where x is number of thumb drives. We solve for x to get the answer:

4x + 4884 = 15x

4884 = 15x - 4x

4884 = 11x

x = 4884/11

x = 444 thumb drives

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Each function below describes how something changes. Use the description to determine which function(s) describe exponential gro
cestrela7 [59]

Answer: E. The population decreased by 11% each year.

Step-by-step explanation: In A, the pollution increases at a constant rate, but in a linear way, in other words in each day, the pollution increases 10 grams; The same goes for C: ice "grows" a few milimeters each day; In D, as volume is calculated by the multiplication of π and its radius, the increase in the volume is still linear. In B, the proportionality is related to the power of the turbine not the growth or decay of it. In E, a population grows or decreases in a form of A=A₀(1±r)^t. In this case: A = A₀ (1-0.11)^t.

In conclusion, the function that better describes an exponential growth or decay is the decrease of a population.

6 0
2 years ago
1. Contaminated water is subjected to a cleaning process. The concentration of the pollutants is initially 5 mg per liter of wat
Art [367]

Answer:

C(t)=5\cdot(0.9)^t

Step-by-step explanation:

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The concentration of the pollutants starts at Co=5 mg/lt. We also know the pollutant reduces its concentration by 10% each hour. This gives us a value of r = 10% / 100 = 0.1

Substituting into the general equation:

C(t)=5\cdot(1-0.1)^t

Operating:

\boxed{C(t)=5\cdot(0.9)^t}

7 0
2 years ago
Two car-rental agencies are competing for business. Mertz charges $35 a day and $0.15 per mile, and Mavis charges $20 a day and
Nata [24]
Well we overall have two different equations we can make here with two different variables. If 35 & 20 were to be our daily charge, and y is our per mile charge, we can infer that x times y is equal to our overall car-rental price, so if we set it out correctly, our equations should be
35 x (y).15 =
20 x (y).45 = 
6 0
2 years ago
Becky is buying fabric to make new pillows for her couch. She spends $71.50 on striped fabric and $52.25 on checkered fabric. If
Gnom [1K]

Answer:

i think you add both fabric prices then divide with 5.50

7 0
2 years ago
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested i
lidiya [134]

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance

B) x can take value 1 ,2 ,3 ......

C)The distribution of random variable is geometric distribution with parameter p=0.3

The pmf of geometric distribution is

P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)

P(X=1) or P(X=2)=0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51

E)

P(X \geq 3)=1-P(X

F)

E(X)=\frac{1}{p}

p is the resident who does not have adequate earthquake supplies.

p = 1-0.3 = 0.7

E(X)=\frac{1}{0.7}=1.42

G)E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33

8 0
2 years ago
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