please help growth and decay problem

Answer:

Step-by-step explanation:

Given:

Use formula below to find the final amount:

Find the amount:

A = p • e^(rt)

A = 12,000•e^(6%•10)

A = 21865.43

Applying the rules of exponents and radicals, the table can be completed as follows:

First column: [tex]64^1 = 64[/tex]

Second Column: [tex]\mathbf{64^\frac{1}{2} = 8}[/tex]

Third Column: [tex]\mathbf{64^\frac{1}{3} = 4}[/tex]

Fourth Column: [tex]\mathbf{64^0 = 1}[/tex]

Fifth Column: [tex]\mathbf{64^{-\frac{1}{2}} = \frac{1}{8}}[/tex]

Sixth Column: [tex]\mathbf{64^{-1} = \frac{1}{64}}[/tex]

The table to complete is attached below.

We will need to apply the knowledge of exponents and radicals of a number in order to fill out the table.

The numbers expressed as powers of 64 in the top row are equivalent to the numbers expressed as radicals or rational numbers in the corresponding cells in the bottom row.

Also, recall the following rules of exponents and radicals:

Appling the above rule, we would have the following:

[tex]64^1 = 64[/tex]

[tex]64^\frac{1}{2} = \sqrt[]{64} = 8\\\\\mathbf{64^\frac{1}{2} = 8}[/tex]

[tex]64^\frac{1}{3} = \sqrt[3]{64} = 4\\\\\mathbf{64^\frac{1}{3} = 4}[/tex]

[tex]\mathbf{64^0 = 1}[/tex]

[tex]64^{-\frac{1}{2}} = \frac{1}{64^{\frac{1}{2}} } = \frac{1}{\sqrt{64} } = \frac{1}{8} \\\\\\\mathbf{64^{-\frac{1}{2}} = \frac{1}{8}}[/tex]

[tex]64^{-1} = \frac{1}{64^1} } = \frac{1}{64 } \\\\\mathbf{64^{-1} = \frac{1}{64}}[/tex]

Therefore, applying the rules of exponents and radicals, the table can be completed as follows:

First column: [tex]64^1 = 64[/tex]

Second Column: [tex]\mathbf{64^\frac{1}{2} = 8}[/tex]

Third Column: [tex]\mathbf{64^\frac{1}{3} = 4}[/tex]

Fourth Column: [tex]\mathbf{64^0 = 1}[/tex]

Fifth Column: [tex]\mathbf{64^{-\frac{1}{2}} = \frac{1}{8}}[/tex]

Sixth Column: [tex]\mathbf{64^{-1} = \frac{1}{64}}[/tex]

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Step-by-step explanation:

= -4/5 ÷ (-2/5)

= (-4/5) × (-5/2) or 4/5 × 5/2

Option → B

4/5 ÷ 2/5

Negatives cancel out and answer is the same

Answer:

2/3, 5/6, 2/9, 11/18

Step-by-step explanation:

Answer:

2/9, 11/18, 2/3, 5/6

Step-by-step explanation:

multipy all the denominators and numerators by what it takes to get 18

ie. 2/3 *6 =12/18

etc.

Answer:

Combine the like terms. In this equation there are two like terms. They both are xy. Note: When there is no number in front of a term, you can assume that the number is 1.

5xy - 1xy

Subtract normally and then attach the xy.

4xy

Hope this helps! :)

Answer:

X(5y-y)

Step-by-step explanation:

$ 6.30

Step-by-step explanation:

10 - (2.5 x $ 1.48) = $ 6.30

Answer:

43,099

Step-by-step explanation:

Answer:

42,499, 43,099, 42,983, 42,532

Step-by-step explanation:

Answer

X = 4

Step-by-step explanation:

-2x - 4 +5x = 8

-2x + 5x = 3x

3x - 4 = 8

     +4   +4

3x = 12

3x     3x

X=4

Answer:

Table of Annual CPI values

2003-184.00            

2004-188.90

2005-195.3

2006-201.6

2007-207.342

2008-215.303

2009-214.537

2010-218.056

2011-224.939

2012-229.594

2013-232.957

2014-236.736

QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answer:

Step-by-step explanation:

From the question we are told that

CPI for 2003(index)=2003-184.00  

CPI for 2013(index)=2013-232.957  

Starting salary in 2013 at $34,862

Generally  comparable starting salary C is given as

Therefore C the comparable starting salary is givrn to be

Step-by-step explanation:

Answer:

sara has 18 rings

sammie has 25 rings

Step-by-step explanation:

Emilio has 34

Sammie has 9 less than Emilio

34-9=25

Sammie has 7 more than sara

25-7=18

sara has 18

The number of rings that Sammie and Sara will have will be 25 and 18 respectively.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Suppose the number of rings Sammie have is "S" the number of ring Emilio have is E and the number of rings that Sara has is "Sr"

As per the given,

S = E - 9

S = Sr + 7

And , E = 34

By substitution,

S = 34 - 9 = 25 and Sr = 25 - 7 = 18

Hence "The number of rings that Sammie and Sara will have will be 25 and 18 respectively".

For more about the equation,

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The horizontal asymptote of the function is the minimum number of deer in the area.

The equation is given as:

[tex]\mathbf{f(x) = \frac{40 + 2x}{1 + 0.05x}}[/tex]

Expand the numerator

[tex]\mathbf{f(x) = \frac{40(1 + 0.05x)}{1 + 0.05x}}[/tex]

Cancel out the common factors

[tex]\mathbf{f(x) = 40}[/tex]

Hence, the equation of horizontal asymptote is:

[tex]\mathbf{f(x) = 40}[/tex]

The horizontal asymptote means that, the number of deer will never be less than 40

Read more about horizontal asymptotes at:

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Answer:

y = 1/2x + 1/2

Step-by-step explanation:

Pick two point that you can write an ordered pair that are on the line.

Points (1, 1) and (3, 2).

Slope = (change in the y-values)/(change in the x-values)

Slope = (2 - 1)/(3 - 1)

Slope = 1/2

Next substitute the slope = 1/2 and point (3, 2) into y = mx + b and solve for "b"

y = mx + b

2 = 1/2(3) + b

2 = 3/2 + b

2 - 3/2 = b            

1/2 = b

The equation of the line: y = 1/2x + 1/2

Answer:

425

Step-by-step explanation:

The number of dogs at the park that weighed over 50 pounds will be 332 dogs.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

85% of the dogs at a park weighed over 50 pounds. If there were 400 dogs at the park. Then the number of dogs at the park that weighed over 50 pounds will be given as,

⇒ 85% of 400

⇒ 0.85 x 400

⇒ 332 dogs

The number of dogs at the park that weighed over 50 pounds will be 332 dogs.

More about the percentage link is given below.

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Answer: Ok so when he starts with one month he has $1600 each month and add $500x for example for the second month add another $1600 and $500x and so on the x stands for however many cars he sold that day

Answer:

[tex]f(x)=\frac{4}{3}x+1[/tex]

Step-by-step explanation:

The graphed function is:

[tex]f(x)=\frac{4}{3} x-2[/tex]

Now, a system of linear equations with no solution means 2 lines that never intersect at any point. The only way that can be true is if both lines are parallel, or have the same slope.

You can write any equation that has the same slope, I'll do this one:

[tex]f(x)=\frac{4}{3}x+1[/tex]

You can confirm that they are parallel in the attached image.

The reason they cannot intersect is because the point at which 2 lines intersect is the solution. If they intersect at any point, there is a solution, and that solution is that point.

Answer:

4 inches

Step-by-step explanation:

a parallelogram's area is represented by the equation l * h where l is the length and h is the height

the length is 10 the height is h and area is 40 so we can do this

10h = 40

h = 4

Answer:

4 inches

[tex]10h = 40 \\ \\ h = \frac{40}{10} \\ \\ h = 4 \: inches[/tex]

Answer:

1. 0.55

2. 11.36 (12)

Step-by-step explanation:

Question 1

If the price of one gallon is 2.09, and the conversion rate of gallon to litre is:

1 gallon : 3.785l

We can divide the cost of one gallon by the equivalent of 1 gallon in litres:

2.09 ÷ 3.785 = 0.5521

= 0.55

Question 2

If one quart is 4kg, and we need to find the total number of quarts in 100 pounds, we can convert kg into lbs and divide:

1kg = 2.2lbs

4kg = 4(2.2)lbs

4kg = 8.8lbs

Now divide 100lbs by this:

100 ÷ 8.8 = 11.3636

= 11.36

Technically this should be rounded up to 12 quarts as you wouldn't be able to have 0.36 quarts but just in case.

Hope this helps!

Answer:

Step-by-step explanation:

a1 = -  13

an = a_(n - 1) + 6

a2 = a_(2 -1) + 6

a2 = a1 + 6

a2 = - 13 + 6

a2 = - 7

a3 = a2 + 6

a3 = - 7  + 6

a3 = - 1

a4 = a3 + 6

a4 = - 1 + 6

a4 = 5

a5 = a4 + 6

a5 = 5 + 6

a5 = 11

a_n=a_{n-1}+6

a2

a3

a4=-1+6=5

a5

Answers:

The graphs are below

========================================================

Explanation:

6)

Let's solve for y to get the equation in slope intercept form y = mx+b

[tex]5x+3y = 15\\\\3y = -5x+15\\\\y = \frac{-5x+15}{3}\\\\y = \frac{-5x}{3}+\frac{15}{3}\\\\y = -\frac{5}{3}x+5\\\\[/tex]

That last equation matches with y = mx+b to get

m = -5/3 = slope

b = 5 = y intercept

To graph this, we plot the y intercept at (0,5). Then move down 5 and to the right 3 to arrive at (3,0) as the second point. This movement is directly tied to the slope. We only need two points to graph a straight line.

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

7)

The equation y = -x+2, aka y = -1x+2, is already in slope intercept form

m = -1 = slope

b = 2 = y intercept

Start at (0,2) which is the location of the y intercept. Move down 1 and to the right 1 due to the slope -1/1 = -1. This should move us to the point (1,1). Connect the two points (0,2) and (1,1) with a straight line to finish up the graph.

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

8)

We start with the origin (0,0) because the y intercept of y = 3x is 0. It might help to think of y = 3x as y = 3x+0

Then we move up 3 units and to the right 1 unit to get to (1,3) as our next point. Connect the two points with a straight line

slope = 3

y intercept = 0

Once again, the graphs are shown below.

Step-by-step explanation:

A1 = 9

r = 2/3

An = ar^{n - 1}

An = 9.(2/3)^{n - 1}

Option → C

Answer:

y = (x - 3)²-2 is the correct answer

Answer:

With what then i'll answer

Step-by-step explanation:

Answer:

48 minutes

Step-by-step explanation:

40 seats for that many people

Answer: A) 6x = 54; x = 9 times older

Step-by-step explanation:

9 x 6 = 54

39 divided by 3 divided by 2 = /

Answer: $9.50

Step-by-step explanation: .95 x 10 is 9.5

Answer:

6

Step-by-step explanation:

I believe it is 6 if not please let me know I can help you figure it out

Hope this helps