The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the annual premium for a $75,000 10-year term policy for a 25-year-old male. Round your answer to the nearest cent. A 5-column table with 6 rows titled Term Insurance. Column 1 is labeled Age with entries 20, 21, 22, 23, 24, 25. Column 2 is labeled 5-year term male with entries 2 dollars and 43 cents, 2.49, 2.55, 2.62, 2.69, 2.77. Column 3 is labeled 5-year term female with entries 2.07, 2.15, 2.22, 2.30, 2.37, 2.45. Column 4 is labeled 10-year term male with entries 4.49, 4.57, 4.64, 4.70, 4.79, 4.85. Column 5 is labeled 10-year term female with entries 4.20, 4.36, 4.42, 4.47, 4.51. a. $363.75 c. $183.75 b. $207.75 d. $338.25

Answer: He will need 1 1/4 cups of butter

Step-by-step explanation:

1. We can do 28/8 to find how much we need to multiply our 1/2 cup of butter to keep the ratio of people to cups of butter the same. 28/8= 3 1/2

2. Then we can multiply 3 1/2 and 1/2 to get 1 1/4 cups of butter.

Joaquin requires 5.25 cups of butter to serve 28 people.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Given that the original recipe serves 8 people and requires 1/2 of a cup of butter but he needs it to serve 28 people.

Let the quantity of butter required for the new recipe be x.

To determine how much to multiply our 1/2 cup of butter in order to keep the same proportion of persons to cups of butter,

we can use the ratio of 28/8.

So, 8:1.5::28:x

⇒ 8x = 42

⇒ x = 5.25

Hence, Joaquin requires 5.25 cups of butter to serve 28 people.

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Answer:

C.

Step-by-step explanation:

A is false because only 9 measure 14cm or more in length out of 25 total iguanas, meaning it is less than 50% (half)

B is false because 25% of 25 is 6.25, only 5 iguanas measure 12cm, meaning there are less than 25% of iguanas 12cm in length.

C is true because total number of iguanas measuring 15cm or more is 5. There are also 5 measuring 11cm or less, making this statement true.

Answer: -12

Step-by-step explanation:

3(-2)^3 - 2(-2)^2 - 9(-2) + 2 = N

3(-8) - 2(4) - 9(-2) + 2 = N

-24 - 8 + 18 + 2 = N

-12 = N

The equation 56 ÷ 8 + 3² = 2⋅2³  is true which is the correct answer would be option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

As per option (A),

39 − 3⋅6 = 6⋅10/4 + 4

39 - 18 = 6 × 5/2 + 4

11 = 30/2 + 4

11 = 15 + 4

11 = 19

This equation is not true.

As per option (B),

8²−5²=4²−7

64 - 25 = 16 - 7

39 = 9

This equation is not true.

As per option (C),

56 ÷ 8 + 3² = 2⋅2³

56 / 8 + 9 = 2 × 8

7 + 9 = 16

16 = 16

This equation is true.

Therefore, the equation 56 ÷ 8 + 3² = 2⋅2³  is true.

Hence, the correct answer would be option (C).

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Answer:

12

Step-by-step explanation:

In the given circle circumference of the circle is = 72.

Since circumference of the circle = 2πr

\(2\pi r=72\)

\(\frac{2*22}{7*r}=72\)

\(r=\frac{72*7}{44}=\frac{504}{44}=\frac{252}{22}=\frac{126}{11}=11.45\)

\(=\pi r \;theta /180=\frac{22}{7*11.45}*\frac{60}{180}\)

\(11.99=12(About)\)

Thus, Answer = 12

~lenvy~

Answer:

(x² + 6)(3x² - 4)

Step-by-step explanation:

factor out (x² + 6)

(x² + 6)(3x² - 4)

\( \underline{\underline{ \huge{ \bf{Answer}}}}\)

\( \sf\)

\(1.\bf \quad(m + 11)(m - 11)\)

Using the algebraic identity :

\( \sf(a + b)(a - b) = {a}^{2} - {b}^{2} \)

Therefore,

\( \sf \longrightarrow \: {m}^{2} - {11}^{2} \)

\(\sf \longrightarrow \: {m}^{2} - 121\)

i.e Product of sum and difference.

___________________________________

\( \bf 2. \quad(y + 12)(y - 5)\)

\(\sf \longrightarrow \: y(y - 5) + 12(y - 5)\)

\(\sf \longrightarrow \: {y}^{2} - 5y + 12y - 60\)

\(\sf \longrightarrow \: {y}^{2} + 7y - 60\)

i.e, Product of two binomials.

____________________________________

\( \bf3. \quad \: (x + 15)(x + 15)\)

\(\sf \longrightarrow \: {(x + 15)}^{2} \)

Using the algebraic identity,

\( \sf {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab\)

\(\sf \longrightarrow \: {x}^{2} + 225 + 30x\)

i.e, Square of a binomial.

____________________________________

\( \bf \: 4. \quad \: {(x - 7)}^{3} \)

Using the algebraic identity,

\( \sf \:{(a - b)}^{3} = {a}^{3} - {b}^{3} - 3ab(a - b)\)

\( \sf \longrightarrow \: {x}^{3} - 343 - 21 {x}^{2} + 147x\)

i.e, Cube of a binomial.

____________________________________

\( \bf \: 5. \quad \: {(6u + 7v + 8w)}^{2} \)

Using the algebraic identity,

\( \sf{(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca\)

\( \sf \longrightarrow \: 36 {u}^{2} + 49 {v}^{2} + 64 {w}^{2} + 84uv + 112vw + 96wu\)

i.e, Square of a trinomial.

\( \rule{200pt}{2pt}\)

C: 66 degrees. Hope this helped!

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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The answer to number 2 is- no it's not a right triangle

the answer to number 3 is- yes it is a right triangle

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{28.28 \: }}}}}\)

Step-by-step explanation:

Given, diameter of a circle = 6

pi ( π ) = 22 / 7

Finding the radius of the circle

We know that the radius of a circle is just half of the diameter. So, 6 / 2 = 3

Finding the area of circle having radius of 3

\( \boxed{ \sf{area \: of \: circle = \pi \: {r}^{2} }}\)

plug the values

⇒\( \sf{area \: of \: circle = \frac{22}{7} \times {3}^{2} }\)

Evaluate the power

⇒\( \sf{area \: of \: circle = \frac{22}{7} \times 9}\)

Calculate

⇒\( \sf{area \:of \: circle = 28.28 \: }\)

Hope I helped!

Best regards! :D

The circumference of the circle is 14π cm.

A circle's circumference is the length of its perimeter. The circumference of a circle can be calculated using length units such as centimeters, meters, or kilometers by opening a circle and measuring the boundary in the same way that we would measure a straight line.

A circle's or an ellipse's circumference is its perimeter. In other words, the circumference would equal the length of the arc if the circle were expanded up and straightened out to a line segment. The perimeter, in a larger sense, is the length of the curve of any closed form.

A circle with radius r encloses an area called πr². Here, the Greek letter stands for the constant proportion of a circle's circumference to its diameter, which is roughly equivalent to 3.14159.

Given The radius = 7 cm

C=2πr

=2·π·7

=14π cm

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A z-score of 0 indicates that the person's score is equal to the mean, so they are right at the Average Performance level.the z-score of a person who scored 300 on the exam is 0.

The z-score of a person who scored 300 on the exam, we can use the formula:

z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

In this case, the person scored 300 on the exam, which is equal to the mean (μ). Therefore, we can substitute these values into the formula:

z = (300 - 300) / 40

Simplifying the equation, we have:

z = 0 / 40

Since any number divided by zero is undefined, we can conclude that the z-score of a person who scored 300 on the exam is 0.

The z-score measures the number of standard deviations a data point is away from the mean. In this case, a z-score of 0 indicates that the person's score is equal to the mean, so they are right at the average performance level.

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The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.

The formula for finding the nth term in an arithmetic sequence given as:

= a + (n - 1)d

Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:

= (-1)n + 1

= (-1)5 + 1

= (-1)6

= -6

Here is the complete question:

Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.

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The correct answer is (a). P′(2005) represents the growth rate (in people per year) of the population in 2005.

This is because P′(t) is the derivative of P(t), which measures the rate of change of P(t) concerning t.

In other words, P′(t) tells us how fast the population is changing at a given year t.

The units of P′(t) are the same as the units of P(t) divided by the units of t, which are millions of people per year.

Therefore, P′(2005) gives the number of millions of people by which the population changed in 2005. To find the actual number of people, we would have to multiply P′(2005) by one million.

The derivative can help us analyze the behavior of the population function, such as it's increasing or decreasing intervals, its maximum or minimum values, and its concavity or inflection points. The derivative can also help us model and predict the future trends of the population based on the current data and assumptions.

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Answer:156

Step-by-step explanation: 26÷1/6 =26×6 =156

The intensity level is moderate

In one second Corey's heart will beat 3 times.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Corey's heart beats 26 times in 1/6 minutes.

Assume that her heart beats [x] times in 1 second. Then -

1/6 of minute = 1/6 x 60 = 10 seconds

In 10 seconds, her heart beats 26 times

So, in one second, her heart will beat (26/10) = 2.6 times = 3 times (approx.).

Therefore, in one second Corey's heart will beat 3 times.

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Y < 5X

Step-by-step explanation:

2X + 3 = 5X

Y < 5X

rate, thanks & follow me.

Answer:

the slope is 4 and the y intercept is (0,-3)

Step-by-step explanation:

When working with this its best to remember y=mx+b, the slope will always be in front of the X. so for example 7x+y=5 ( not a real problem ) but the slope would be 7 because its in front of the X.

Credits: Hello! I'm from the Philippines! Mabuhay!!

Hey there!

6a + 4(3)

= 6(2) + 4(3)

= 12 + 12

= 12

Therefore, your answer is: 12

Good luck on your assignment and enjoy your day’

~Amphitrite1040:)

The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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Answer:

Slope is 4.8

Step-by-step explanation:

\({ \tt{G(x) = 4.8x - 5}} \\ \)

Answer: The Answer is 4.8

Answer:

3.76 is 8% of 47

Step-by-step explanation:

1. We assume, that the number 47 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 47, so we can write it down as 100%=47.

4. We know, that x% equals 3.76 of the output value, so we can write it down as x%=3.76.

5. Now we have two simple equations:

1) 100%=47

2) x%=3.76

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=47/3.76

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.76 is what percent of 47

100%/x%=47/3.76

(100/x)*x=(47/3.76)*x       - we multiply both sides of the equation by x

100=12.5*x       - we divide both sides of the equation by (12.5) to get x

100/12.5=x

8=x

x=8

now we have:

3.76 is 8% of 47

Answer:

63

Step-by-step explanation:

we divided 18÷2=9

and we multiply 9×7=63

Answer:

\(p(a) = \frac{7}{100} \)

Step-by-step explanation:

Given:

7 red marbles

18 blue marbles

Total number of marbles: 7 + 18 = 25

All outcomes:

\(n = \frac{25 \times 24}{2 \times 1} = 300\)

Let's name the event A:

A - "both marbles are red"

Event's A favorable outcomes:

\(m(a) = \frac{7 \times 6}{2 \times 1} = 21\)

\(p(a) = \frac{m(a)}{n} = \frac{21}{300} = \frac{7}{100} \)

Answer:

No

Step-by-step explanation:

The triangles are not similar since triangle B has an angle (18 cm) that does not correspond to 10, unlike the other angles which you can get by multiplying 3/2.

The answer Is A. 6cm,8cm,10cm

Answer:

Step-by-step explanation:

Given that the total number of time that you have been waiting is 1 hour

which is equivalent to 60minutes which is the sample space

and the sample size which is 10 minutes.

then the probability of a taxi arriving in 10minutes seeing that you have been waiting for over 60minutes is

Pr(taxi arrives in 10 min)= 10/60= 1/6

thus the probability is 1/6

kindly let me know if you need further clarifications to this

Regards.

This is the same result as if we had just taken the product of 5 by itself, which is also equal to 0.

Product is an item or service that is created by a business or organization to meet the needs of their customers. It is anything that is offered to a market for sale or trade. Products can be tangible, such as physical goods or intangible, such as services, ideas, or experiences. Companies need to create products that offer value to their customers. This includes making sure that the product meets the customer's needs, is of good quality, and is priced appropriately.

An empty product is a mathematical term that is used to describe a product of two or more numbers, where the result is equal to the product of just one of the numbers. This is because when you multiply any number by zero, the result is zero. Therefore, if a product contains a zero, then the result will be the same as if you only multiplied one of the numbers in the product. For example, if we take the product of 5 and 0, then the result is 0. This is the same result as if we had just taken the product of 5 by itself, which is also equal to 0.

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The margin of error is defined as follows:

M = 1.9z/sqrt(n).

In which:

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The margin of error is then given as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

The problem is incomplete, hence the general procedure to obtain the sample size was presented.

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