Question content area topPart 1Use the periodic compound interest formula to solve.Suppose that$6000 is invested at3.1% compoundedquarterly. Find the total amount of this investment after4 years.Part 1The amount after4 years will be $enter your response here

Answer:

am pretty sure it is the frist one

The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.

Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.

Let the slope of the line joining A (7,-6)  and B(6,-6)  be m.

We know that the slope of a line is given by:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Slope of the line

= (6-7) / (-6+6)

= -1 / 0

= undefined

Since the slope is undefined we can say that the straight line is parallel to the y axis.

we know that tan 90° = ∞

So any line parallel to this line will have the same slope as the y axis.

Hence the slope of the given line is undefined or infinity.

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Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

The measure of angle P in the circle is 19 degrees.

Given that in circle O two sectants, Abp and cdp, are drawn to external point p.

If mAC = 72 degrees , and MBD = 34 degrees,

We have to find the measure of angle P.

By the Angle-Arc relationship, the external angle is half the difference.

∠P= 1/2(x°-y°)

=1/2(72-34)

=1/2(38)

=19 degrees

Hence, the measure of angle P is 19 degrees.

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Answer:

x = 0 , x = 2

Step-by-step explanation:

3x² = 6x ( subtract 6x from both sides )

3x² - 6x = 0 ← factor out 3x from each term

3x(x - 2) = 0

equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 2 = 0 ( add 2 to both sides )

x = 2

solutions are x = 0 , x = 2

Step-by-step explanation:

2.5 km = 250000 cm

250000 cm /20000 = 12.5 cm on the map

12.5 cm ^2  x 20 0000 x 20 000   = 5 000 000 000 cm^2 = 500 000 m^2  

Answer:

-13a +10b

Step-by-step explanation:

          \(-3a-4b-2(5a-7b)\)

\(=-3a-4b-10a+14b\)

\(=-13a+10b\)

Hope this helps

Answer:

-5 multiplied by positive five is your answer

Step-by-step explanation:

Answer:

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

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

Answer:

\(b = \frac{t - 5}{a} \)

Step-by-step explanation:

\(t = c(5 + ab)\)

Simplify:

\(t = 5c + abc\)

Move 5c to the other side:

\(t - 5c = abc\)

Divide bother sides with AC:

\( \frac{t - 5c}{ac} = \frac{abc}{ac} \)

Simplify:

\( \frac{t - 5}{a} = b\)

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Answer:

C) $4.00

Step-by-step explanation:

Here's how I did it:

So we're trying to find 15% of $25.90... we can say that the $25.90 is 100% of Madison's Manicure... 100% can also be written as 1.0... why? well if 1.0 is 100%, then we can say any other percentage is proportionate to this... for example... 0.25 is 25% of 1.0... In this case... we are trying to add an additional 15% to the 100% price of the manicure... (Remember... with our proportion we can say that 115% is the same as 1.15) If we take our proportion:

1.15 x 25.90 = 3.89

4.00 is the closest to 3.89

therefore the answer is C) $4.00

Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

\( \: :\implies \) 500000 /170

\( :\implies \: \) 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

\( \: :\implies \) 1000/0.21

\( \: :\implies \) 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

Answer:

There are 14 pieces of candy in each box.

Step-by-step explanation:

42 divided by 3 equals 14.

Could I please have Brainliest.

Answer:

See answer below.

Step-by-step explanation:

Statements                                              Reasons

1. ∠D and ∠B are right angles                   Given

DC || AB

2.  ∠1 = ∠2

3.   AC ≅ AC                     Reflexive

The answers are ∠1 = ∠2, AC ≅ AC, Reflexive, and triangle ADC ≅ triangle CBA.

The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.

It is given that:

∠D and ∠B are right angles

Or ∠D = ∠B = 90 degress

DC || AB

As we know, congruent triangles are those that are exactly the same size and shape.

Congruent is represented by the symbol ≅

When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

From the figure:

Statements                                              Reasons

1. ∠D and ∠B are right angles                   Given

∵  DC || AB

2.  ∠1 = ∠2

3.   AC ≅ AC                     Reflexive

4. Triangle ADC ≅ triangle CBA

Thus, the answers are ∠1 = ∠2, AC ≅ AC, Reflexive, and triangle ADC ≅ triangle CBA.

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The strategy to solve the problem is to select one stack from the near doubles and count them with the doubles. Hence when the 3rd stack is counted with the first two double, 8+6 = 14. This is an addition problem.

Addition is simply counting items, number, persons, objects together to that you are no longer looking that their individual numeric value but the numeric sum of the collective whole.

Hence, when we count the first doubles we had 8

counting the penultimate stack, we have 6. Counting 8 and 6 together gives us 14.

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Full Question:

See attached image.

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

73.437= 74 437/1000

Step-by-step explanation:

73.437 to fraction.

Let's acknowledge the presence of a decimal and how many digit we have after the decimal point.

Actually, the numbers after the decimal point will determine the amount of 10s to be divided with.

What I'm saying is this

73.437= 74 437/1000

In this case, 437 is a prime number

So

73.437= 74 437/1000

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Reorder from least to greatest.

4, 4, 6, 6, 6, 8, 10, 15, 15

                /\

                 |

Median is the middle number.

This would be 6.

---

hope it helps

The equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

The equation of a line in point-slope form is expressed as;

y - y0 = m(x -x0)

where

m is the slope

(x0, y0) is the point on the line

Given the following parameters

Point (0,8)

Slope from the equation = 3/5

Substitute

y - 8 = 3/5(x - 0)
5(y -8) =3x

5y - 40 = 3x

5y - 3x = 40

Hence the equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

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The expression with the correct coefficients in each block is given as follows:

20x³ + 0x² - 7x.

The functions in the context of this problem are defined as follows:

The operation is given as follows:

f(x)g(x) + h(x).

Hence, to obtain the resultant function, we apply the definitions into the operation and the simplify, applying the distributive property and combining the like terms, as follows:

4x(5x² - 4) + 9x = 20x³ - 16x + 9x = 20x³ - 7x.

As there is no x² term, the coefficient of zero multiplies the term x².

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Answer:

-13

Step-by-step explanation:

i used a calculate thing btw

The child dependency ratio is given as 0.314. See the explanation for same below.

The Child Dependency Ratio (CDR) is calculated by dividing the population under the age of 18 by the working-age population aged 18 to 64. The Senior Dependency Ratio (SDR) is calculated by dividing the population aged 65 and older by the working-age population aged 18 to 64.

Where those below the age of 15 are children,

Child Dependency Ratio = Population of those below 15 years/ Working Age (15-64 years

=23,671/75,347

= 0.314

Where aged people are those above 65,

Old Age Dependency Ration = Population of those Greater than 65 years/ Working Age Population (15-64 years)

= 14,256/75,347

= 0.189

Age Dependency Ratio = Population  of (0-15) + Population of 65 and above/ Working Age Population (15-64)

ADR = (23671 + 14, 256)/ 75 347

= 37, 927/ 75, 347

= 0.503

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Answer:

(2, -2)

Step-by-step explanation:

To rotate a point in a coordinate plane 90 degrees clockwise, we need to switch the x and y coordinates and negate the new x coordinate.

So let's apply this formula to the point (-2, -2):

- The new x-coordinate will be the original y-coordinate: -2

- The new y-coordinate will be the negation of the original x-coordinate: -(-2) = 2

Therefore, after rotating (-2, -2) 90 degrees clockwise, we get the point (2, -2).

We can visualize this by plotting both points on a coordinate plane and drawing a line of reflection that represents the rotation:

```

Before rotation:

|

|

|

-------+-------

|

(-2,-2)

After rotation:

|

|

(2,-2)|

-------+-------

|

```

As shown in the diagram above, after rotating (-2,-2) 90 degrees clockwise, it lands at (2,-2).

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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The slant height of the cone is 12.6 units

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

h= 12

diameter = d = 8

so, radius, r = d/2 = 8/2 = 4

Formula for slant height , l is:

l = √(h² + r²) = √(12² + 4² )

 = √(144 + 16) = √160 = 12.649 ≈ 12.6 units

The slant height of the cone is 12.6 units

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Step-by-step explanation:

a)

The given fraction is positive.

Positive divided by positive is positive.

Negative divided by negative is positive.

Answer: -7/-8

b)

The given fraction is negative.

Positive divided by negative is negative.

Negative divided by negative is negative.

Answer: 5/-2, -5/2