19. [-/1 Points] DETAILS TANFIN12 5.2.014. Find the present value of the ordinary annuity. (Round your answer to the nearest cent.) $180/month for 11 years at 5%/year compounded monthly $ Need Help? R

Answer:

1=8 2=11/12

Step-by-step explanation:

x = 1.53347526

Take the log of both sides of the equation.

\(ln(2^{3x-1} ) = ln(3^{x-2} )\)

Expand \(ln(2^{3x-1} )\) by moving 3x-1 outside the logarithm

\((3x-1)ln(2)= ln(3^{x-2} )\)

Move x-2 outside the logarithm      \(ln(3^{x-2} )\)

\((3x-1)ln(2) = (x-2)ln(3)\)  

Solve the equation for x

\(x = -[\frac{{2ln(3)-ln(2)}}{3ln(2)-ln(3)} ]\)

The value of x is 1.53347526(After applying the log values)

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The marketing advantage of magazines is the great number of special-interest publications that appeal to narrowly defined segments.

Magazines offer a marketing advantage due to the abundance of special-interest publications available, catering to specific and narrowly defined segments. This advantage stems from the nature of magazines as print media that often focus on specific topics or interests.

Magazines cover a wide range of subjects, from fashion and lifestyle to technology and hobbies. By targeting niche markets, magazines can attract readers who have a strong interest in a particular subject or industry. This allows advertisers to reach a highly targeted audience that is more likely to be receptive to their marketing messages. They can select magazines that cater to specific demographics, interests, or industries, ensuring that their advertising efforts are directed towards a relevant and engaged audience.

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Answer:

2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

25 divided by 10% is 2.5 gallons

Answer:

-8

Step-by-step explanation:

when you substitute -8 for b it is -4(-8)+3=35

-4(-8) is 32 and 32+3=35

Boom.

also btw need help give brainliest

Answer:

-8

Explanation:

Move all terms that don't contain b to the right side and solve. Hope this helps :)

If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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Answer:

3 and 7/15 hours

Step-by-step explanation:

1. Divide 52 by 15

Answer:

5.2

Step-by-step explanation:

add back 0.8 from 7 am temp which is 4.4 degrees.

Answer:

5.2 °C

Step-by-step explanation:

4.4°C + 0.8°C = 5.2°C

On a number line, an absolute value equation that has the given solution set is |m - 4| = 2.

By critically observing the given question, we can infer and logically deduce that the solution sets for this absolute value equation is given by:

m = {2, 6}

Next, we would calculate the mean of the solution sets as follows:

m₁ = (2 + 6)/2

m₁ = 8/2

m₁ = 4.

Also, we would calculate the difference in the solution sets as follows:

m₂ = (6 - 2)/2

m₂ = 4/2

m₂ = 2.

Mathematically, the absolute value equation is given by:

|m - m₁| - m₂ = 0

|m - 4| - 2 = 0

|m - 4| = 2.

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I canot make the graph for you, However, 4 miles in 44 minutes means Al is running 1 mile in 11 minutes on average.

1 mile 11 minutes

3 miles 33 minutes

4 miles 44 minutes

Answer:

32 million / x million year 3 * 100%

Step-by-step explanation:

Since they mention that the total value of azco sales remain the same as year 2, therefore the earnings for year 2 and 3 are the same.

Which means that the percentage of sales profits would be 32 million dollars divided by the profits of year 3, which we do not know because the statement does not tell them but they tell us that they do not change with respect to year 2.

Therefore the percentage would be:

32 million / x million year 3 * 100%

Answer:

x=11

Step-by-step explanation:

5x+62=3x+47+37

5x+62=3x+84

2x=22

x=11

The Percent uncertainty and significant figure relationship is such that increasing the number of significant figures leads to a decrease in percent uncertainty.

Understand the concept of significant figures

Significant figures represent the digits in a number that contribute to its precision. They are determined based on the certainty of the measurement and indicate the number of reliable digits.

Recognize the relationship

The general relationship between percent uncertainty and the number of significant figures is that as the number of significant figures increases, the percent uncertainty decreases.

Understand the reasoning

When we have more significant figures in a measurement, it implies greater precision. This higher precision reduces the relative error or variability in the measurement, leading to a smaller percent uncertainty.

For Example to illustrate the relationship

Suppose we have two measurements:

Measurement A: 10.0 cm (three significant figures)

Measurement B: 10.000 cm (five significant figures)

Both measurements have the same nominal value, but Measurement B has more significant figures, indicating higher precision. Consequently, the percent uncertainty associated with Measurement B would be smaller than that of Measurement A because the greater precision reduces the relative error.

Experimental evidence

In experiments, researchers often try to increase the number of significant figures to improve precision and reduce uncertainty. By taking more accurate and precise measurements, they can minimize errors and achieve a smaller percent uncertainty.

In summary, the relationship between percent uncertainty and the number of significant figures is such that increasing the number of significant figures leads to a decrease in percent uncertainty. This is because more significant figures indicate higher precision, resulting in reduced relative error and less uncertainty in the measurement.

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Answer:

50 + 40x = y

y being total, x being hours

Step-by-step explanation:

The level of consumption when the level of income is 850 million is 500 million. We need to use the formula for consumption function, which is C = A + bY, where C is consumption, A is autonomous consumption, b is the marginal propensity to consume, and Y is income.

In this case, we are given that autonomous consumption is 75 million and the marginal propensity to save is 0.5. Since the marginal propensity to consume (MPC) and the marginal propensity to save (MPS) add up to one, we can calculate the marginal propensity to consume as follows:
MPC = 1 - MPS
MPC = 1 - 0.5
MPC = 0.5

Therefore, the consumption function can be written as: C = 75 + 0.5Y
To find the level of consumption when the level of income is 850, we can substitute Y = 850 into the consumption function:
C = 75 + 0.5(850)
C = 75 + 425
C = 500
So the level of consumption when the level of income is 850 is 500 million.  In summary, the answer to the question is that the level of consumption when the level of income is 850 is 500 million.

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Answer:

y = 56.9

Step-by-step explanation:

100 + 13x = 180

13x = 80

x= 80/13

7(80/13) + y = 100

y = 56.9

The amount of fiber in the banana will be 3.3 fibers.

From the information, Jason has a banana. He also has raisin bran cereal, which contains 3.6 grams of fiber and Jason eats 6.9 grams of fiber at breakfast.

Therefore, the equation to find the amount of fiber in the banana will be:

b = 6.9 - 3.6

b = 3.3

Therefore, the amount of fiber in the banana will be 3.3 fibers.

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The truth value of the complex statement B∙∼Z is true.

The truth value of the complex statement Xv∼Y is true.

The truth value of the complex statement −C∨Z is false.

Let's determine the truth value of each complex statement based on the given information:

B∙∼Z

Given: B is true, Z is false

B∙∼Z = true∙true (since ∼Z is true when Z is false)

= true

Therefore, the truth value of the complex statement B∙∼Z is true.

Xv∼Y

Given: X, Y are false

Xv∼Y = falsevtrue (since ∼Y is true when Y is false)

= true

Therefore, the truth value of the complex statement Xv∼Y is true.

−C∨Z

Given: C is true, Z is false

−C∨Z = −true∨false (since ∼C is false when C is true)

= false∨false

= false

Therefore, the truth value of the complex statement −C∨Z is false.

The truth value of the complex statement B∙∼Z is true.

The truth value of the complex statement Xv∼Y is true.

The truth value of the complex statement −C∨Z is false.

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Answer:

$(80.5x + 69)

Step-by-step Explanation:

Recall, distributive property of multiplication can simply be expressed as follows, x(y + z) = xy + xz or x(y - z). Where x, y, and z could be any number.

Now, let's use the distributive property to show the total costs of plants Gloria decides to buy as an expression and also simplify it.

Thus, Gloria buys:

4 ferns = 4(0.5x - 3) = 4(0.5x) - 4(3) = $(2x - 12)

2 palms = 2(10x - 2.50) = 2(10x) - 2(2.50) = $(20x - 5.00)

10 lilies = 10(5 + 0.25x) = 10(5) + 10(0.25x) = $(50 + 2.5x)

8 shrubs = 8(4.50 + 7x) = 8(4.50) + 8(7x) = $(36 + 56x)

Total cost of the plants = (2x - 12) + (20x - 5) + (50 + 2.5x) + (36+ 56x)

Open the parentheses and then simplify:

Total cost = 2x - 12 + 20x - 5 + 50 + 2.5x + 36 + 56x

= 2x + 20x + 2.5x + 56x - 12 - 5 + 50 + 36

Total cost = $(80.5x + 69)

Answer:

Maybe some red, lime green, tan-ish brown, blue, crimson, navy blue

Step-by-step explanation:

Answer:

x = 8

y = 36

Step-by-step explanation:

The triangle shown in the image is an isosceles triangle.

We can find the value of x using the above mentioned information:

∠B = ∠A

5x = 40 divide both sides by 5

x = 8

The sum of interior angles in a triangle is equal to 180°.

Since ∠B and ∠C are both 40°:

40 + 40 + 3y - 8 = 180 add/subtract like terms

72 + 3y = 180 subtract 73 from both sides

3y = 108 divide both sides by 3

y = 36

Answer:

180

Step-by-step explanation:

A 3-digit number cannot start with 0, so the leftmost digit is a choice of 6 digits out of the 7. The middle digit can be chosen from all 7 digits minus the one already used, so there are 6 choices. The right digit can be chosen from 5.

6 × 6 × 5 = .180

The number of three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 is 180.

This can be calculated by finding the number of element availabe at first place which is 6 excluding 0 than for second position 6 as first number is excluded and 0 is added and for the last positon the number of possibe combination is 5 as 2 digits are already used.

The final answer is 6*6*5 = 180

so count of 3 digit numbers that can be formed by the given set of digit without repetetion allowed is  180

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Answer:

74 + 4 π ft^2

Step-by-step explanation:

Just a bit of a piecemeal.

2 rectangles and a half circle. We have all the dimensions.

1. Let's solve the big one first A = lw, putting in the numbers A = 4*15 = 60

2. The smaller one A = lw, putting int eh numbers A = 2 * 7 = 14

3. Now, the semi-circle. We know the diameter by deducting 12 from the total length, which is 9 + 7 = 16 in = 4 ft

The radius of the circle is half of the diameter, so the radius is 2 ft

The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius.

Substituting the values, we get:

A = π(2)^2

A = 4π

The area of the circle is 4π square ft^2

Add: 60 + 14 + 4π = 74 + 4 π ft^2

Answer:

E=(7.25h)+2m

Step-by-step explanation:

h is the number of hours worked and we know Joanne earned 7.25 per hour so we have 7.25h, every hour she earns 7.25. M is the number of miles She drives and we know she is paid 2 for every mile so 2m. E is the total amount she earns so it is equal to everything else

The dilated quadrilateral, using center B and a scale factor of 1/2, is A'B'C'D'.

To dilate a quadrilateral ABCD using center B and a scale factor of 1/2, we can follow these steps:

Draw line segments from the center of dilation (B) to each vertex of the quadrilateral (A, C, and D).

Measure the distance from B to each vertex (AB, BC, BD) and multiply each distance by the scale factor (1/2).

From the endpoints of the original line segments, construct new line segments with the scaled distances obtained in the previous step.

Connect the endpoints of the newly constructed line segments to form the dilated quadrilateral A'B'C'D'.

The resulting quadrilateral A'B'C'D' will be a scaled-down version of the original quadrilateral ABCD, with center B as the center of dilation and a scale factor of 1/2.

Note: Since I am a text-based AI and cannot provide visual illustrations, it would be helpful to refer to a geometric software or draw the quadrilateral on paper to visualize the steps described above.

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Step-by-step explanation:

can't you see it ?

the goal is always to get the variable on one side, and everything else on the other side.

1. step : add 1 to both sides to get rid of the free constant "-1" on the side of the variable.

2. step : multiply both sides by -2 to get rid of the "-1/2" factor that binds 5x and -8 into one term.

3. step : add 8 to both sides to get rid of the now free constant "-8" on the side of the variable.

4. step : divide both sides by 5 to finally have only the variable on the left side giving us the solution of the equation.

remember, we always have to do every change on both sides of the equation to keep the original balance and information of the equation.

Answer:

Add 1 to both sides.

Multiply both sides by -2.

Add 8 to both sides.

Divide both sides by 5.

Step-by-step explanation:

Step 1

\(-\dfrac{1}{2}(5x-8)-1=6\quad \quad \textsf{Write the equation.}\)

Step 2

\(-\dfrac{1}{2}(5x-8)=7 \quad \quad \textsf{Add 1 to both sides.}\)

This is called the Addition Property of Equality.  When the same number is added to both sides of an equation, the two sides remain equal.

\(\implies -\dfrac{1}{2}(5x-8)-1+1=6+1\)

\(\implies -\dfrac{1}{2}(5x-8)=7\)

Step 3

\(5x-8=-14 \quad \quad \textsf{Multiply both sides by -2.}\)

This is called the Multiplication Property of Equality.  When both sides of an equation are multiplied by the same number, the two sides remain equal.

\(\implies -2 \cdot -\dfrac{1}{2}(5x-8)=-2 \cdot 7\)

\(\implies 5x-8=-14\)

Step 4

\(5x=-6 \quad \quad \textsf{Add 8 to both sides.}\)

This is called the Addition Property of Equality.  When the same number is added to both sides of an equation, the two sides remain equal.

\(\implies 5x-8+8=-14+8\)

\(\implies 5x=-6\)

Step 5

\(x=-\dfrac{6}{5} \quad \quad \textsf{Divide both sides by 5.}\)

This is called the Division Property of Equality.  When both sides of an equation are divided by the same number, the two sides remain equal.

\(\implies \dfrac{5x}{5}=\dfrac{-6}{5}\)

\(\implies x=\dfrac{-6}{5}\)

Conclusion

\(\begin{aligned}-\dfrac{1}{2}(5x-8)-1 & =6 & \quad \quad& \textsf{Write the equation.}\\\\-\dfrac{1}{2}(5x-8) & =7 & & \boxed{\textsf{Add 1 to both sides.}}\\\\5x-8 & =-14 & & \boxed{\textsf{Multiply both sides by -2.}}\\\\5x & =-6 & & \boxed{\textsf{Add 8 to both sides.}}\\\\x & =-\dfrac{6}{5} & & \boxed{\textsf{Divide both sides by 5.}}\\\end{aligned}\)

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Answer:

\( \fbox{A= 7}\)

\(\boxed{B= 2 }\)

Step-by-step explanation:

\( \sqrt{ - 98} = Ai \sqrt{B}\)

We know that, i = ✓-1

Hence we have to solve for ✓98 and write it in it's simplest form,

\( \sqrt{98} = \sqrt{49 \times 2} = 7 \sqrt{2} \)

So, ✓-98 can be written as,

\( \sqrt{ - 98} = Ai \sqrt{B} = 7i \sqrt{2} \)

Comparing above equation we get,

\(\fbox{A= 7}\)

\( \boxed{B= 2}\)

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