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LekaFEV [45]
3 years ago
12

A new, trendy department store is experiencing exponential growth across America. The chain began in 2004 when it opened 16 stor

es in Texas. Since then, it has grown by 35% in new store openings each year. Create an exponential function below to show the number of stores each year, x, since 2004.
Mathematics
1 answer:
QveST [7]3 years ago
7 0
The equation is y=16(1.35)ˣ.

This equation is of the form y=a(1+r)ˣ, where a is the initial amount, r is the rate of growth expressed as a decimal number, y is the total, and x is the amount of time.  For our problem, a is 16; b is 0.35 (35%=35/100=0.35).  This gives us the equation above.
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Find the minimum value if f(x) = xe^x over [-2,0]
SashulF [63]

Given function:

f(x)=xe^x

The minimum value of the function can be found by setting the first derivative of the function to zero.

f^{\prime}(x)=xe^x+e^x\begin{gathered} xe^x+e^x\text{ = 0} \\ e^x(x\text{ + 1)  = 0} \end{gathered}

Solving for x:

\begin{gathered} x\text{ + 1 = 0} \\ x\text{ = -1} \end{gathered}\begin{gathered} e^x\text{ = 0} \\ \text{Does not exist} \end{gathered}

Substituting the value of x into the original function:

\begin{gathered} f(x=1)=-1\times e^{^{-1}}_{} \\ =\text{ -}0.368 \end{gathered}

Hence, the minimum value in the given range is (-1, -0.368)

6 0
1 year ago
What is the value of cos(A) in the diagram?<br> a.60/61<br> b.61/11<br> c.11/61<br> d.61/60
ehidna [41]

Answer:

a. 60/61

Step-by-step explanation:

With reference angle A

base(b) = 60

hypotenuse (h) = 61

Now

Cos(A) = b / h

= 60/ 61

3 0
3 years ago
Read 2 more answers
Select the correct answer.
Damm [24]

Answer:

there are 83 percent of books

5 0
1 year ago
When I double my number add 4 and then subtract my number and subtract three I get my number plus one what is my number?
Lady bird [3.3K]
2 because once you double it, it becomes 4. Once you add 4, you get 8. When you subtract your number, which is 2, you get 6. Then when you subtract 3, you get 3. 3 is your number (2) plus 1
5 0
2 years ago
The height of the Empire State Building is 1250 feet tall. Your friend, who is 75 inches tall, is standing nearby and casts a sh
Lyrx [107]
Answer:

The length of the building's shadow = 550.66 ft

Explanations:

The height of the Empie State Building = 1250 feet

The friend's height = 75 inches

The length of the friend's shadow = 33 inches

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6 0
1 year ago
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