f(t) = 10.72(0.9t + 10)0.3 (0 ≤ t ≤ 20)
where t is measured in years, with t = 0 corresponding to the year 2000.† At what rate was the percentage of Americans age 55 and older changing at the beginning of 2008? (Round your answer to four decimal places.)
____ % per year
At what rate was the percentage of Americans age 55 and older changing in 2017? (Round your answer to four decimal places.)
____% per year
What was the percentage of the population of Americans age 55 and older in 2017? (See Note on page 168. Round your answer to two decimal places.)
____%

Answer:

[tex]y=\frac{2}{7} x-\frac{1}{7}[/tex]

Step-by-step explanation:

y=mx+b where y and x are variables, m is the slope and b is the y-int.

[tex]y-1=\frac{2}{7} (x-4)\\y=\frac{2}{7} x-\frac{2}{7} -1\\y=\frac{2}{7} x-\frac{1}{7}[/tex]

Hope that helps.

The equation of line d is y = -8x + 9

The general form of the equation of a line with a slope m and passing through the point (a, b) is given by:

y - b = m ( x - a )

We have,

Equation of line c:

y = (1/8)x + 10

Line d is perpendicular to line c.

Since line d and line c is perpendicular their slope is given by:

[tex]m_{1} m_{2} = -1[/tex]

Where [tex]m_{1}~and ~m_{2}[/tex] is the slope of line c and line d.

Now,

[tex]m_{1}[/tex] = 1/8

And,

[tex]m_{2}[/tex] = -1 / (1/8) = -8

The equation of line d passes through (-1, 1) so the equation of line d can be written as:

y - 1 = -8 ( x - 1 )

y - 1 = -8x + 8

y = -8x + 8 + 1

y = -8x + 9

Therefore the equation of line d is y = -8x + 9

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The required solution is ca is less than cb.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

Suppose each side of the inequality a − b < 0 is multiplied by c.

According to given question we have

a.  If c < 0

Each side of the inequality a − b < 0 is multiplied by c.

=c(a-b)<0

=ca-cb<0

=ca<cb

It should be clear that  number that ca is less than cb.

Therefore, the required solution is ca is less than cb.

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The equation of line for the given data is y = 5x -1.

According to the given question.

We have a data of points for a equaton of line.

As we know that the standard equation of line is y = mx + b.

Where, m is the slope of line and b is the y intercept.

Since, the points which are given in the data must satisfy y = mx + b.

Therefore,

Lets take the points (1, 4) and (2, 9) and substitute it in y = mx + b to find the value of m and b.

At x = 1 and y = 4

4 = m + b ..(i)

And at x = 2 and y = 9

9 = 2m + b ..(ii)

From equation i and ii

m = 5

So, b = -5 + 4 = -1

Hence, the equation of line for the given data is y = 5x -1.

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Answer:

If its 134, 37 its 48.5

Step-by-step explanation:

The terminal value of the business, using the growing perpetuity formula is 3,400

What is terminal value of the company?

The terminal value of the company refers to the cash flows attributable to the company's long-term growth period whose growth rate is 2%, in an investment appraisal context, it is the value of all cash flows beyond the horizon considered in the analysis

terminal value=Free Cash Flow*(1+terminal growth rate)/(cost of capital-terminal growth rate)

Free cash flow=100

terminal growth rate=2%

cost of capital=5%

terminal value=100*(1+2%)/(5%-2%)

terminal value=100*1.02/0.03

terminal value=3,400

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Explanation below. Enjoy!

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

Personally, I think grapefruit is great. But that's unrelated. :)

You have to start with the values of kilograms and grams. So, here they are:

1 Kilogram = 1000 Grams

(For the record, the root kilo means 1000 in math.)

3/4 should be converted to decimals, so 0.75 is our number now.

0.75 kilograms = 750 grams

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Have a wonderful day/night!

(Please consider leaving a Brainly, it would help me greatly!)

~pinetreee

Answer:

$75

Step-by-step explanation:

2x+2.49= 27.5+124.99

2x=159

x=75

The equations which are in standard form include the following:

A linear equation can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

This ultimately implies that, the variables in all linear equations share a direct relationship and as such they are directly proportional to one another.

In Mathematics, the standard form of a linear equation is given by the following:

Ax + By = C.

In this context, we can reasonably infer and logically deduce that the equations which are in standard form include the following:

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Answer:

1,000+50+8

Step-by-step explanation:

Each place value is divided up into their separate values.

Answer:

18

Step-by-step explanation:

6(2) - (-6)

12 +6

18

The ordered pair  (3, -1) that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are substitute into the inequality 4x - 3y < 16

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

WE have been given an inequality as 4x - 3y < 16.

Here, we need to get the ordered pair solution to the system of linear equations.

Then Substitute x = 3 and y = -1 into 4x - 3y < 16

4(3) - 3(-1) < 16

12 + 3 < 16

15 < 16

(TRUE)

Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair which makes the inequality true.

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8 cm is the height of the cylinder.

The formula of Height for cylinder: h = V/πr²

Put the values in the formulas as:

Rounding off to the nearest tenth it's 8 cm.

Therefore, the height of the cylinder is 8 cm.

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The measure of the angle is 11. 5°

Trigonometric Identities are defined as the identifiers involving  trigonometry functions and holding true for all the values of variables given in the equation.

The types of trigonometric identities include;

From the diagram shown, we can see that;

The opposite side of the angle is 2

The hypotenuse side of the angle is 10

The trigonometric identity in this case is sine

sin θ = opposite/ hypotenuse

Substitute the values

sin θ = 2/ 10

sin θ = 0. 2

Take the sine inverse of the value

θ = [tex]sin^-^1(0. 2)[/tex]

θ = 11. 5°

Thus, the measure of the angle is 11. 5°

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Answer:

infinite number

Step-by-step explanation:

3x + 1 = 3(x - 1) + 4

3x + 1 = 3x - 3 + 4

3x + 1 = 3x + 1

3x = 3x

x = x

x = x is true for every value of x, so the equation has an infinite number of solutions.

Answer:

1395.91

Step-by-step explanation:

Subtract 1,488.80-92.89

If you want to round it up to a whole number then it would be 93.

If you want to round it up to the tenth then it would be 92.9.

Using the Box model of division, the answer is attached below, and showing full results attached accordingly.

Suppose that we're talking about  p÷ q

It means, we divide p into q into equal parts. And each part is of value p/q

The box model of division can be defined as One of the tactics of division is the Box Method, commonly known as the Area Model.

We have been given the division as 377 ÷ 12.

The box model of division is a mental math approach that will improve number sense comprehension.

The Students solve the equation by subtracting multiples until they will get zero, or as near to zero as they can.

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The complete question is

How should this model be completed to represent 377 ÷ 12? complete the boxes attached below.

P(A) and P(B) are not independent events.

Event A is said to be independent of event B if the probability of occurrence of one of them is not affected by the occurrence of the other.

 P(A∩B) = P(A)*P(B) for independent events, which is given 0.25 but P(A∩B) = P(A)*P(B) = 0.46*0.57 = 0.26, data does not match.

P(A) = 0.46 and P(B) = 0.57

For A and B to be independent

P (A and B) = 0.46*0.57 = 0.26         [ does not match with given data that is 0.25]

P (A, not B) =0.46*(1-0.57) = 0.19                                                        

P (B, not B) =0.57*(1-0.46) = 0.30

P (not A, not B) = (1-0.46) *(1-0.57) = 0.23

To check if they are independent, sum of all values should be equal to 1

0.57+0.19+0.30+0.23 = 0.98 which is not equal to one.

Therefore P(A) and P(B) are not independent events.

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Answer:

bro whut are u doing here? -.-

Answer:

No solution

Step-by-step explanation:

An absolute value expression being multiplied by a negative number will never have a positive y-value output like 24. You can see this when the equation is graphed.

Answer:

Step-by-step explanation:

The ratio of soccer balls to basketball is 12 to 15 If there are 48 soccer balls how many basketball are there

we can solve with a proportion

12 : 15 = 48 : x

x = 15 * 48 : 12

x = 60

Answer:

I honestly have no clue why you hot that wrong that is correct

Answer:

[tex]\textsf{(a)} \quad \textsf{Interval}=[-10,0].\\\textsf{1.} \quad \textsf{Absolute maximum}=\boxed{497}\\\textsf{2.} \quad \textsf{Absolute maximum}=\boxed{11}[/tex]

[tex]\textsf{(b)} \quad \textsf{Interval}= [-7, 2].\\\textsf{1.} \quad \textsf{Absolute maximum}=\boxed{445}\\\textsf{2.} \quad \textsf{Absolute maximum}=\boxed{-3}[/tex]

[tex]\textsf{(c)} \quad \textsf{Interval}=[-10, 2].\\\textsf{1.} \quad \textsf{Absolute maximum}=\boxed{497}\\\textsf{2.} \quad \textsf{Absolute maximum}=\boxed{-3}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=x^3+12x^2-27x+11[/tex]

Differentiate the function:

[tex]\implies f'(x)=3 \cdot x^{3-1}+2 \cdot 12x^{2-1}-27x^{1-1}+0[/tex]

[tex]\implies f'(x)=3x^2+24x-27[/tex]

Find the critical points of the function by setting the derivative to zero and solving for x:

[tex]\implies f'(x)=0[/tex]

[tex]\implies 3x^2+24x-27=0[/tex]

[tex]\implies 3(x^2+8x-9)=0[/tex]

[tex]\implies x^2+8x-9=0[/tex]

[tex]\implies x^2+9x-x-9=0[/tex]

[tex]\implies x(x+9)-1(x+9)=0[/tex]

[tex]\implies (x-1)(x+9)=0[/tex]

[tex]\implies x-1=0 \implies x=1[/tex]

[tex]\implies x+9=0 \implies x=-9[/tex]

Therefore, the critical points are x = 1 and x = -9.

Evaluate the function at the endpoints of each interval as well as the critical points if the critical points fall within the given interval.  The largest and smallest values of the function are the absolute extrema.

Part (a)

Given interval = [-10, 0].

One of the critical points is included in the interval.

Evaluate the function at the endpoints and critical point:

[tex]f(-10)=(-10)^3+12(-10)^2-27(-10)+11=481[/tex]

[tex]f(0)=(0)^3+12(0)^2-27(0)+11=11[/tex]

[tex]f(-9)=(-9)^3+12(-9)^2-27(-9)+11=497[/tex]

Therefore:

Part (b)

Given interval = [-7, 2].

One of the critical points is included in the interval.

Evaluate the function at the endpoints and critical point:

[tex]f(-7)=(-7)^3+12(-7)^2-27(-7)+11=445[/tex]

[tex]f(2)=(2)^3+12(2)^2-27(2)+11=13[/tex]

[tex]f(1)=(1)^3+12(1)^2-27(1)+11=-3[/tex]

Therefore:

Part (c)

Given interval = [-10, 2].

Both of the critical points are included in the interval.

Evaluate the function at the endpoints and critical points:

[tex]f(-10)=(-10)^3+12(-10)^2-27(-10)+11=481[/tex]

[tex]f(2)=(2)^3+12(2)^2-27(2)+11=13[/tex]

[tex]f(-9)=(-9)^3+12(-9)^2-27(-9)+11=497[/tex]

[tex]f(1)=(1)^3+12(1)^2-27(1)+11=-3[/tex]

Therefore:

im not sure sry man....... delete this answer bc im not sure how to

Answer:

(-5,3)

Step-by-step explanation:

x: (-10-0)/2=-5

y: (6-0)/2=3

The total cost for both the fruits is $182.1

The shopkeeper is selling the peaches and bananas.

the cost for both is as follows:

For peaches it is $0.20

and, for bananas it is $0.25

Peaches = 398×0.20$

              = $79.6

Bananas = 410×$0.25

               = $102.5

The total cost is

= $79.6 + $102.5

= $ 182.1

The variable and fixed expenses of delivering commodities are combined to get a total using the total cost formula. Total cost is calculated as follows: (Average Fixed Cost x Average Variable Cost) x Units Produced.

Your cost function may like this, for example, if your variable costs for labor are fixed regardless of quantity but your variable costs for supplies vary based on the amount of each item: Total costs are calculated as fixed costs plus labor costs plus (unit count * material variable costs).

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Answer:less

Step-by-step explanation:

Answer:

Less Than

Step-by-step explanation:

Solve for yy. y=2x3y=2x3 Rewrite in slope-intercept form.y=23xy=23xUse the slope-intercept form to find the slope and y-intercept.Slope: 2323y-intercept: (0,0)(0,0)Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yyvalues.xy0032xy0032Graph the line using the slope and the y-intercept, or the points.