13. Use the appropriate percent growth todetermine how much money Lyra will have incach ofthe following situations:(a) How much money will Lyra have after 10years if she invests $5,000 at 4% interestcom-poundcl annually?(1) Suppose that Lyra is saving for retirement,and has saved up $20,000. If her retirementaccount earns 3% interest each year, howmuch will she save in 25 years?(o) How much mowy will yra have after 20years if she $5,000 33.5% interestcompoundedannully?(d) How much money will yr hawwur 10 yearsit she is $6,000 AL 15% interestcompounded quarterly?(E) how much money will lyra have after 10years if she invests $5,000 at 0.8% interestcompounded continuously?(F) compare your answer to (a) and (c). Whichone made more money?

3

1) Let's sketch that, to better understand this:

2) Considering the Segment Addition Postulate, we can write that:

DF = DE + EF Plug into that the given values

9 = 6 + EF

9-6 = 6-6 + EF

3 = EF

EF =3

3) Hence, the line segment EF is 3 units long

Since all the information in the study, such as the type, the age and the weight are related to the pet, individuals in each data-set are the pets.

The individual of a data-set is the object which is being analyzed in the study, the object that has it's characteristics analyzed.

In the context of this problem, these following information are analyzed, at the register when the doctor attends each pet and registers the information.

All these information belong to the pet that visits the veterinary, hence the individuals in each data-set are the pets.

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EXPLANATION

Since we have the expression:

First, we need to find the least common multiplier as follows:

Least common multiplier of x^2 + x - 6, x+3: (x-2)(x+3)

Ajust fractions based on the LCM:

The final expression is as follows:

Answer:

Step-by-step explanation:

Slope-intercept form: y = mx + b

The 'm' in this formula means slope. The 'b' means the y-intercept.

y = 5x - 1

m = 5.

b = -1.

Now that we have identified the slope and the y-intercept, we can graph the equation.

When graphing these kinds of equations, always start at the y-intercept.

The y-intercept is -1, so we start from there and move up 5 and right 1 repeatedly.

Remember, slope = rise/run. We rise 5, and we run 1.

5 can also be represented as a fraction: [tex]\frac{5}{1}[/tex]

Let me know if you have any questions.

Answer:

Jenny scored 644th place.

Step-by-step explanation:

To find out what place she finished, you need to write it out first like this:

77% of 837.

Now, to make the equation possible to solve, we can take the 77 and make it a decimal: 0.77.

The term "of" means multiplication.

So, in turn, we have the equation:

0.77 x 837 = 644.49

And, if you round it, your answer would be:

Jenny scored 644th place.

Answer:

See below

Step-by-step explanation:

77th percentile means she scored better than 77 per cent of the test takers...

  So Jenny's place was    .23  *  837 = ~ 193 rd   Out of 837 people

Solution:

The number of food items is given by the following expression:

4 cereal boxes + 6 cans+ t pieces of fruit+ 2 bags of rice

that is, she organizes

4+6+t+2 meals

this is equivalent to

(4+6+2)+t

this is equivalent to say

12 + t meals.

So that the correct answer is:

12 + t

Marble Events

there are 5 + 3 = 8 marbles

If one marble is selected then there are now

8 - 1 = 7 marbles

Then answer is

The two events are Dependent

Event B is dependent on Event A

The meal cost is $86

its 15% is:

$86 x 0.15 = $12.9

then the tip was $12.9. Then, the total bill would be:

$86 + $12.9 = $98.9

that is the total bill was $98.9

Solution:

If the outer diameter is 7, then the outer radius is b=7/2.

On the other hand, if the inner diameter is 3, then the inner radius is a= 3/2.

Now, the surface area of a torus (glazed donut) with inner radius a and outer radius b is given by

Then, applying the data of the problem to the above equation, we can conclude that the surface area of the given glazed donut would be:

so that, the correct answer is:

a.

i) Sketch each rectangle:

ii) Find its dimensions

iii)

The simplest form of the given division is,[tex][tex]\frac{550}{13}[/tex][/tex].

What is division?
The opposite of multiplication is division. Dividing a sum of numbers into equal pieces. A number is divided in division, which is a straightforward procedure.

Given that: (55/7)/(13/5)/(42/3)

First to simplify:

[tex](13/5)/(42/3)[tex]\frac{(\frac{13}{5}) }{(\frac{42}{3}) } = \frac{(\frac{13}{5}) }{14} \\[/tex] [tex]= \frac{13}{(5)(14)} \\= \frac{13}{70}[/tex][/tex]

So, expression becomes,

[tex][tex]\frac{(\frac{55}{7} )}{(\frac{13}{70} )}[/tex][/tex]

Now to simplify this expression.

Using:[tex][tex]\frac{(\frac{a}{b} )}{(\frac{c}{d} )} = \frac{ad}{bc}[/tex][/tex]

Then,[tex][tex]\frac{(\frac{55}{7} )}{(\frac{13}{70} )} = \frac{(55)(70)}{(7)(13)} = \frac{3850}{91} = \frac{550}{13}[/tex][/tex]

Therefore, [tex][tex]\frac{550}{13}[/tex][/tex] is the simplest form of the given division.

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Given:

To find:

a) f(g(x)) b) g(f(x))

Given:

Total amount dealer has is $1160.

Spend 50% of the fund to buy a 1911 rocking chair and sells it for $710.

a)

b)

111.21% of the original value of the fund is the new value of the fund.

The composition

Means that you have to evaluate x in g(x) first, and then evaluate that result in f(x)

In other words:

Let's use this for this question:

Since the information required us that the equation has to start in zero we can think of functions like the root of x but also we have to add a value of 1/3. In other words one equation with those characteristics is

The average monthly expenses for Bill's utilities is $266.67.

It is given in the question that:-

Expenditure in December by Bill = $ 234.45

Expenditure in January by Bill = $ 281.23

Expenditure in February by Bill = $ 284.33

We have to find the average monthly expenses for Bill's utilities.

We know that,

Average monthly expense for utilities = (Expenditure in December + Expenditure in January + Expenditure in February)/3

Hence, using the data given in the question, we can write,

Average monthly expense for utilities = (234.45 + 281.23 + 284.33)/3

Average monthly expense for utilities = 800.01/3 =  $266.67

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The radius of circle is r = 8 cm.

The arc is of angle 270 degree.

The formula for the arc length is,

Determine the length of the arc.

So lenth of the arc is 37.68.

The area of the rectangle with length [tex]4 \frac{3}{4}[/tex] inches and width [tex]3 \frac{1}{2}[/tex] inches will be;

⇒  [tex]16 \frac{5}{8}[/tex] inches²

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The length of the rectangle = [tex]4 \frac{3}{4}[/tex] inches

                                           = 19 / 4 inches

The width of the rectangle =  [tex]3 \frac{1}{2}[/tex] inches

                                          = 7 / 2 inches.

Since, We know that;

The area of the rectangle = Length x Width

Substitute all the values , we get;

The area of the rectangle = Length x Width

The area of the rectangle = 19 / 4 x 7 / 2

                                       = 133 / 8 inches²

                                       = [tex]16 \frac{5}{8}[/tex] inches²

Therefore,

The area of the rectangle with length [tex]4 \frac{3}{4}[/tex] inches and width [tex]3 \frac{1}{2}[/tex] inches will be;

⇒  [tex]16 \frac{5}{8}[/tex] inches²

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The shape can be broken into two separate rectangles of the forms below.

Bothe shapes give a rectangle, therefore the area of the shape is

Area of Shape = Area of rectangle A + Area of rectangle B

Since Area of rectangle = LENGTH X BREADTH, we then have below

In conclusion, the answer is 946 square inches

The ratio of Red candies to Blue candies is 5:4 in the bag.

The most appropriate choice for distance formula will be given by Area of rectangle is 40 sq units

What is distance formula?

Distance formula is used to find the distance between two points.

Let A and B be two points with coordinate [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] respectively

Distance between A and B = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

Here,

Let A = (-1 , -4), B = (-1, 6), C = (3, 6) and D = (3, -4)

Length of AB =

[tex]\sqrt{((-1)-(-1))^2 + (-4-6)^2}\\\sqrt{100}\\10 units[/tex]

Length of BC =

[tex]\sqrt{((-1)-3)^2 + (6-6)^2}\\\sqrt{16}\\4 units[/tex]

Length of rectangle = 10 units

Breadth of rectangle = 4 units

Area of rectangle = [tex]10 \times 4[/tex] = 40 sq units

Fourth option is correct

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Given the information about the triangle, we can use the cosine function on angle x to get the following:

solving for x, we get:

therefore, the value of x is 61.1

Perpendicular lines have slopes that are negative reciprocals.

If two perpendicular lines have slopes m1 and m2, then we have the following equation:

Then, we can analyze each pair.

a) In this case, both lines have the same slope (m = 1/5). They are parallel, not perpendicular.

b) In this case, the slopes are different. They are reciprocals (m1 = 1/m2), but they are not negative reciprocals, so they are not perpendicular.

c) In this case the slopes are the negative of each other (2/3 and -2/3), but they are not negative reciprocals. Then, they are not perpendicular.

d) In this case, the slopes are negative reciprocals:

Then, this lines are perpendicular.

Answer: Option d.

Solution

If we have 4 options and we want to find that Bill select one option and then Laura a different second option is:

1/2 * 1/2= 1/4= 0.25

Then the best answer is:

0.25

Answer:

Option B

Step-by-step explanation:

Undefined expression:

An undefined expression is a division by 0, or a fraction in which the denominator is 0.

In this question, the undefined expression is given by option B.

y = -2x + 4

The equation of the line having a slope m, and passing through the point (x₁, y₁) is given as:

y - y₁ = m (x - x₁)

From the description given:

The line passes through the point (0, 4)

That is, x₁ = 0, y₁ = 4

The slope of the line, m = -2

Substitute x₁ = 0, y₁ = 4, and m = -2 into the equation y - y₁ = m (x - x₁)

y - 4 = -2 (x - 0)

y - 4 = -2(x)

y - 4 = -2x

y = -2x + 4