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lesya692 [45]
2 years ago
6

What is the value of x? 4 8 6 10

Mathematics
1 answer:
dsp732 years ago
8 0

Answer:

The right answer for the question is 6.

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A chain of retail computer stores opened 2 stores in its first year of operation. After 8 years of operation, the chain consiste
Helen [10]

Answer:

0.66

Step-by-step explanation:

The exponential growth equation is expressed as;

S(t) = S0e^kt

S(t) is the number of stores after t years

S0 is the initial number of stores

If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;

2 = S0e^k(1)

2 = S0e^k .... 1

Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;

206 = S0e^k(1)

206 = S0e^8k .... 2

Next is to calculate the value of k

Divide equation 2 by 1;

\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 =   e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k =  0.6621

Hence the value of k to the nearest hundredth is 0.66

4 0
3 years ago
There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp
Mariana [72]

Answer:

  1. <em> 15</em>
  2. <em> 42,250</em>

Step-by-step explanation:

The given function is,

P=40000+300x-10x^2

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at \left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)

The value of the function will be maximum at,

x=-\dfrac{b}{2a}

Putting the values,

x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

P=40000+300(15)-10(15)^2=42,250

4 0
3 years ago
Simplify 8(xy + 8) + 1. 8xy + 9 8xy + 65 8xy + 73
Advocard [28]

Answer:

8xy + 65

Step-by-step explanation:

8(xy + 8) + 1.

8      x 8=

        64 + 1=

                    65    (8xy + 65)

---------------------------------------------

LINE THE NUMBERS UP AND IT WILL MAKE SENSE

5 0
3 years ago
A bed is on sale for 25% off of its original price. It originally cost $879.00. How much is the sale price of the bed?
Arturiano [62]

Answer:

$659.25

Step-by-step explanation:

Since its 25 percent off we need to see what it would look as a decimal

1-.25=.75

879times.75= 659.25

5 0
3 years ago
Read 2 more answers
Please help me please
gizmo_the_mogwai [7]

Answer:

SA=390

Step-by-step explanation:

9*14=126

126+126=252

14*3=42

42+42=84

9*3=27

27+27=54

252+84+54=390

3 0
3 years ago
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