-X – 3, solve for a when g(x) = 6.
PLSSS

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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The equation of the parabola y = 2x² - 8x + 13 in vertex form is y = 2(x - 2)² + 5.

An equation is a formula that links two statements and uses the equals sign (=) to indicate that the statements are equivalent. A mathematical statement proving the equality of two algebraic expressions is called an equation. For instance, the equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14. The relationship between the two sentences that appear on opposing sides of a letter is expressed mathematically. The single variable and the symbol are typically the same. Like 2x - 4 Equals 2, for example.

To write the equation of a parabola in vertex form, we use the formula:

y = a(x - h)² + k

Where (h,k) is the vertex of the parabola and "a" is a constant that determines the shape of the parabola. To convert the equation y = 2x² - 8x + 13 to vertex form, we need to complete the square.

First, let's factor out the leading coefficient of 2:

y = 2(x² - 4x) + 13

Next, we need to add and subtract a constant inside the parentheses to complete the square. To determine this constant, we take half of the coefficient of x, square it, and add it inside the parentheses:

y = 2(x² - 4x + 4 - 4) + 13

y = 2((x - 2)² - 4) + 13

Now we can simplify and write the equation in vertex form:

y = 2(x - 2)² - 8 + 13

y = 2(x - 2)² + 5

Therefore, the equation of the parabola y = 2x² - 8x + 13 in vertex form is y = 2(x - 2)² + 5.

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The complete question is:

The equation of the parabola is y = 2x² - 8x + 13. Its vertex form is ______________.

Answer:

This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.

Step-by-step explanation:

x < 3 or x > 5

This means, x is less than 3, but greater than 5.

Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.

Answer:

D

Step-by-step explanation:

4-90m+70

74-90m so

D

if my answer helps please mark as brainliest

The equivalent expressions is  74 - 90m.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

4-10(9m-7)

Now solving the expression

= 4-10(9m-7)

= 4- 90m + 70

= 74 - 90m

Hence, the equivalent expressions is  74 - 90m.

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To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

The division of the value 3/8 given the remainder as 0 and the quotient as 0.375. Hence, the answer is correct.

Long division uses the conventional process to divide two integers by iteratively adding and subtracting. When the divisor is a multi-digit number, it is used in mathematics to determine the quotient and remainder of a division problem.

As part of the long division algorithm, the dividend is divided by the first digit of the divisor, the quotient is multiplied by the divisor, the result is subtracted from the dividend, and the procedure is then repeated with the next digit of the dividend.

The division of 3/8 can be given as follows:

0.375 | 3.000

      2.5

       ---

      0.50

        4

       ---

        20

        16

        ---

         40

         40

         ---

          0

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The money collected during the second week was :  840

Analysis:

Total number of persons.

number of persons that paid first week = 12

number that paid second week = 62 - 12 = 50

if each person is to pay 16.40, then 50 people would pay = 16.4 x 50 = 840 dollars.

Hence we can conclude that The money collected during the second week was :  840

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Answer:

1,053 applications

Step-by-step explanation:

hope this helps!! please mark brainliest :))

Answer:lol figure it out Step-by-step explanation:

Answer:

bottom one

Step-by-step explanation:

9a-b-2a-10b      add like terms

7a-11b

Answer:

2 is really answer it is this question bro than ka for good point

Step-by-step explanation:

hello shreekant thanks 886A bubs 2 is answr

Answer:

6

Step-by-step explanation:

Answer:

C) -2a-12

Step-by-step explanation:

you use the distributive property so you multiply -2 by a and 6

(-2)(a) + (-2)(6)

-2a-12

Answer:

-2a-12

Step-by-step explanation:

From Distributive Property, states that:

\( \displaystyle \large{x(b + c) =x b + xc}\)

Compare the number/term, we can say that:

Substiture these values in.

\( \displaystyle \large{ - 2(a + 6) = - 2 a - 2(6)} \\ \displaystyle \large{ - 2(a + 6) = - 2 a -12}\)

And we're done!

Measure of the angle which is made by rotating a side as terminal side by one-sixth of a revolution counterclockwise is 60 degree and π/3 radian.

The terminal side of an angle is the rotated side of the initial side around a point to form an angle. This rotation can be clockwise or counter clock wise.

The terminal side of an angle in standard position rotated one-sixth of a revolution counterclockwise from the positive x-axis.

The total degree in a complete rotation of a side is 360 degrees. The side is rotated 1/6. Thus the angle is rotated is,

\(\theta=\dfrac{1}{6}\times360\\\theta=60^o\)

Multiply it with π/180 to find the measure of the angle in radian.

\(\theta=60\dfrac{\pi}{180}\\\theta=\dfrac{\pi}{3}\\\)

Hence, the measure of the angle which is made by rotating a side as terminal side by one-sixth of a revolution counterclockwise is 60 degree and π/3 radian.

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x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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Answer:

x+12

Step-by-step explanation:

X is the number

12 more

MORE

x+12

Answer:100,000

Step-by-step explanation:

Using concepts of circles, it is found that the angle measure of each slice is of 72º.

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

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

5 equal slices, thus:

\(\frac{360}{5} = 72\)

The angle measure of each slice is of 72º.

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The cost price of the article, which is sold for Rs. 150 at a gain but if sold for Rs. 135 would have resulted in a loss equal to 50% of the original gain, is Rs. 127.50.

The cost price is the difference between the selling price and the profit or gain.

The difference is determined by subtraction.

Selling price of the article = Rs. 150

Loss if sold at Rs. 135 = 50% of the original gain

Original gain = Rs. 15 (Rs. 150 - Rs. 135)

50% of the original gain = Rs. 7.50 (Rs. 15 x 50%)

Cost price of the article = Rs. 127.50 (Rs. 135 - Rs. 7.50)

Thus, the cost price is Rs. 127.50.

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we find the probability corresponding to z = -0.4, which is 0.3446, and the probability corresponding to z = 0.5, which is 0.1915. To find the probability between these two values, we subtract the smaller probability from the larger one. So, p(-0.4 < z < 0.5) = 0.3446 - 0.1915 = 0.1531.

To answer these questions, we need to make a sketch of the normal distribution and use the unit normal tables to determine the appropriate probability.

1. p(z > 2.1)

First, we sketch the normal distribution and shade the area to the right of 2.1. This area represents the probability we are seeking.

Using the unit normal tables, we find the probability corresponding to z = 2.1, which is 0.4821. However, since we are looking for the probability to the right of 2.1, we need to subtract this value from 1 to get the correct probability. So, p(z > 2.1) = 1 - 0.4821 = 0.5179.

2. p(z > -3.4)

Again, we sketch the normal distribution and shade the area to the right of -3.4.

Using the unit normal tables, we find the probability corresponding to z = -3.4, which is 0.0003. However, since we are looking for the probability to the right of -3.4, we need to subtract this value from 1 to get the correct probability. So, p(z > -3.4) = 1 - 0.0003 = 0.9997.

3. p(z < 1.3)

This time, we sketch the normal distribution and shade the area to the left of 1.3.

Using the unit normal tables, we find the probability corresponding to z = 1.3, which is 0.4032. So, p(z < 1.3) = 0.4032.

4. p(0.9 < z < 1.9)

For this question, we sketch the normal distribution and shade the area between 0.9 and 1.9.

Using the unit normal tables, we find the probability corresponding to z = 0.9, which is 0.3159, and the probability corresponding to z = 1.9, which is 0.4713. To find the probability between these two values, we subtract the smaller probability from the larger one. So, p(0.9 < z < 1.9) = 0.4713 - 0.3159 = 0.1554.

5. p(-0.4 < z < 0.5)

Finally, we sketch the normal distribution and shade the area between -0.4 and 0.5.

Using the unit normal tables, we find the probability corresponding to z = -0.4, which is 0.3446, and the probability corresponding to z = 0.5, which is 0.1915. To find the probability between these two values, we subtract the smaller probability from the larger one. So, p(-0.4 < z < 0.5) = 0.3446 - 0.1915 = 0.1531.

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Answer:

8,333 total population

Step-by-step explanation:

Question can be restated as "5000 is 60% of what number?"

5000 = .6x

x = 5000/0.6

x = 8,333.33

The domain of the function or relation is {6, 9, -4 and 2}

The function is represented by the set of relation or ordered pairs

The ordered pairs in the relation are:

(x, y)  = (6, -3), (9, -3), (-4, 1) and (2, 1)

Remove the y values in the above domain

x = 6, 9, -4 and 2

The x values represent the domain of the function

Hence, the domain of the function or relation is {6, 9, -4 and 2}

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Answer:

Zero represents the reference point when locating a point on the number line.

Step-by-step explanation:

Answer:

\(\displaystyle x=\frac{\log 3}{\log(3)-\log 2}\approx 2.71\)

Step-by-step explanation:

Logarithms

We need to recall these properties of logarithms:

\(\log_ax^n=m\log_ax\)

\(\log_a(xy)=\log_a(y)+\log_a(y)\)

The equation to solve is:

\(3^x=3*2^x\)

Applying logarithms:

\(\log(3^x)=\log(3*2^x)\)

Applying the exponent property on the left side and the product property on the right side:

\(x\log(3)=\log 3+\log 2^x\)

Applying the exponent property:

\(x\log(3)=\log 3+x\log 2\)

Rearranging:

\(x\log(3)-x\log 2=\log 3\)

Factoring:

\(x(\log(3)-\log 2)=\log 3\)

Solving:

\(\boxed{\displaystyle x=\frac{\log 3}{\log(3)-\log 2}}\)

Calculating:

\(\mathbf{x\approx 2.71}\)

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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Answer:

y = (1/2)x + (yP - (1/2)xP)

Step-by-step explanation:

To find a parallel line to line jk that passes through point P, we need to use the fact that parallel lines have the same slope.

First, let's find the slope of line jk. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (-4, 5) and (2, 8), we have:

m = (8 - 5) / (2 - (-4)) = 3/6 = 1/2

So the slope of line jk is 1/2.

Now, let's use the point P and the slope of line jk to find the equation of the parallel line that passes through point P. We can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

Let's assume that point P has coordinates (xP, yP). Then the equation of the parallel line passing through P is:

y - yP = (1/2)(x - xP)

Simplifying this equation, we get:

y = (1/2)x + (yP - (1/2)xP)

So the equation of the parallel line passing through point P is:

y = (1/2)x + C

where C = yP - (1/2)xP is a constant. This equation represents all possible parallel lines passing through point P.

Hope this helps!

Answer:

What is your question so I can answer it directly okay

9514 1404 393

Answer:

  D(1, 2)

Step-by-step explanation:

The ordered pair is always (x-coordinate, y-coordinate).

The x-coordinate is the distance to the right of the y-axis. (It is negative for points left of the y-axis.) Here, point D lies 1 unit right of the y-axis, so its x-coordinate is 1.

The y-coordinate is the distance above the x-axis. (It is negative for points below the x-axis). Here, point D lies 2 units above the x-axis, so its y-coordinate is 2.

The ordered pair describing the location of D is ...

  (x-coordinate, y-coordinate) = (1, 2)