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Olegator [25]
3 years ago
8

Given the following exponential function, identify whether the change represents growth or decay, and

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer: 97% growth rate.

Step-by-step explanation:

Hi, to answer this question we have to analyze exponential function:

A = P (1 + r) t  

Where:

p = initial value

r = growth or decay rate (decimal form)

t= number of time intervals

A = value after t intervals

Replacing with the values given:

y=3400(1.97)^x

Where the term 1.97 = 1 + r

Solving for r:

1.97-1 = r

0.97 =r

Since the rate is positive, it is a  growth rate.

To determine the percentage we have to multiply it by 100

0.97 x 100 = 97%

Feel free to ask for more if needed or if you did not understand something.

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STatiana [176]

Rationalize the numerator:

\dfrac{\sqrt{x+4}-2}x\cdot\dfrac{\sqrt{x+4}+2}{\sqrt{x+4}+2}=\dfrac{(\sqrt{x+4})^2-2^2}{x(\sqrt{x+4}+2)}=\dfrac x{x(\sqrt{x+4}+2)}=\dfrac1{\sqrt{x+4}+2}

This is continuous at x=0, so we can evaluate the limit directly by substitution:

\displaystyle\lim_{x\to0}\frac{\sqrt{x+4}-2}x=\lim_{x\to0}\frac1{\sqrt{x+4}+2}=\frac1{\sqrt4+2}=\frac14

5 0
3 years ago
Write the number in standard form.<br> 2 x 102
NARA [144]

Answer:

210

Step-by-step explanation:

5 0
3 years ago
the ratio of white flour to whole wheat flower in bread recipe is 2: 3. The recipe uses 10 cups of flour. How much of each type
7nadin3 [17]
4 cups of white and 6 cups of wheat
6 0
3 years ago
A.) it has no reflectional symmetry
coldgirl [10]

Answer:

D.) It has rotational symmetry with an angle of rotation of 90 degrees.

Step-by-step explanation:

i) the shape shown in the figure has reflectional symmetry with four lines of symmetry. There are four lines of symmetry such that each line when drawn divides the shape into two exact halves such that if each half were too be folded across the line of symmetry it would produce the other half exactly.

Therefore Option A.) and Option B.) are not true

ii) It has  point symmetry which means if the shape is rotated by 180 degrees the shape does not change. Therefore Option C.) is not true.

iii) the shape has rotational symmetry because if the shape is rotated though any between 0 degrees and 360 degrees the shape appears to be unchanged.

Therefore the correct options are

D.) It has rotational symmetry with an angle of rotation of 90 degrees.

5 0
3 years ago
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grin007 [14]

Answer:

sorry

Step-by-step explanation:

sorry i dont know the answer because i read in class 2

i am very sorry

3 0
3 years ago
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