please show your work as well

The amοunt οf mοney that shοuld be depοsited tοday is apprοximately $9,786.04 (rοunded up tο the nearest cent).

The interest that is calculated using bοth the principal and the interest that has accrued during the previοus periοd is called cοmpοund interest.

It differs frοm simple interest in that the principal is nοt taken intο accοunt when determining the interest fοr the subsequent periοd with simple interest. Cοmpοund interest is cοmmοnly abbreviated C.I. in mathematics.

The amοunt that has tο be depοsited tοday can be determined using the calculatiοn fοr the future value οf an annuity.

FV is equal tο P * [(1 + r/n)(nt) - 1] / (r/n)

where:

$12k in future value P = principle (the amοunt tο be depοsited tοday)

3.5% as the annual interest rate

12 times every year are added tο the number n. (cοmpοunded mοnthly)

If t Equals time in years, then 3

When we enter the values, we οbtain:

[tex]12,000 = P * [(1 + 0.035/12)^{(12*3)} - 1] / (0.035/12)[/tex]

Simplifying:

[tex]12,000 = P * (1.035^{36} - 1) / (0.00291667) (0.00291667)[/tex]

[tex]P = 12,000 * (0.00291667) / (1.035^{36 }- 1)[/tex]

P ≈ $9,786.04

The sum that shοuld be depοsited as a result is abοut $9,786.04 tοday (rοunded up tο the nearest cent).

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Given this information, the complete hypotheses in symbols for the study is:

In statistics, the null hypothesis is usually represented by the letter H with the subscript '0' (zero), as in H0. It's spelled H-null, H-zero, or H-nought. Simultaneously, the alternative hypothesis expresses the observations caused by the non-random cause. It is represented by the letters H1 or Ha.

The null and alternative hypotheses in symbols would be:

Note: Where: H0 = null hypothesis, Ha = alternative hypothesis, μafter = population mean of depression symptoms after therapy and μbefore = population mean of depression symptoms before therapy

The null hypothesis states that the mean depression symptoms after therapy is less than or equal to the mean depression symptoms before therapy. The alternative hypothesis states that the mean depression symptoms after therapy is less than the mean depression symptoms before therapy.

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Answer: (2,-3) and (-2,5)

Step-by-step explanation:

Let us graph the two equations one by one.
If we compare this equation with the slope intercept form of a line which is given as we see that m = -1 and c =1

Hence the slope of the line is -2 and the y intercept is 1.

Hence one point through which it is passing is (0,1) . 
Let us find another point by putting x = 1 and solving it for y Let us find another point by putting x = 2 and solving it for y Hence the another point will be (2,-3)Let us find another point by putting x = -2 and solving it for y Hence the another point will be (-2,5)Now we have two points (0,1) ,(1,-1) ,  (2,-3) and (-2,5) we joint them on line to obtain our line  2.

 It represents the parabola opening upward with vertices (1,-4)Let us mark few coordinates so that we may graph the parabola.i) x=0 ; ; (0,-3)ii)x=-1 ;  ; (-1,0)iii) x=2 ;  ;(2,-3)iii) x=1 ;   ;(1,-4)iii) x=-2 ;  ;(-2,5)Now we plot them on coordinate axis and line them to form our parabolaWhen we plot them we see that we have two coordinates (2,-3) and (-2,5) are common , on which our graphs are intersecting. These coordinates are solution to the two graphs. 

Answer:

112

Step-by-step explanation:

you have to find the length of QT and ST, then QS will be the hypotenuse (opposite of the right angle) of the triangle QTS.

use the formula:

c²=a²+b²

a²=c²-b²

1. to find QT:

QT²=53²-45²

QT²=2,809-2,025

QT²=784

QT=28

2.to find ST:

ST²=117²-45²

ST²=13,689-2,025

ST²=11,664

ST=108

3. find QS:

QS²=28²+108²

QS²=784+11,664

QS²=12,448

QS=111.570605

QS≈112

Answer:

25% Profit = CP of 5 bats = 5x W

Step-by-step explanation:

1.Jake became anemic after the first blood transfusion because his body reacted to the foreign antigens.

2.He went into an anaphylactic shock after the second transfusion due to an even stronger allergic reaction.

1. After the first blood transfusion, Jake became anemic because he was given type O blood, which is not compatible with his own blood type. Incompatible blood transfusions occur when a person is given blood that carries a different antigen than the one they have. In this case, Jake was given type O blood, which carries both the A and B antigens, while Jake’s own blood carries the Rh antigen. Therefore, Jake’s body reacted to the foreign antigens and created antibodies to fight against them. This reaction caused Jake to become equation anemic, as his body was not able to absorb the oxygen from the transfused blood.

2. After the second blood transfusion, Jake went into an anaphylactic shock because he was given type O blood, which carries both the A and B antigens, while Jake’s own blood carries the Rh antigen. Since Jake’s body had already created antibodies to fight against the foreign antigens, when it was exposed to the same foreign antigens a second time, his body reacted with an even stronger immune response. This reaction caused Jake to go into an anaphylactic shock. In other words, the second transfusion caused an allergic reaction in Jake’s body, which was much more severe than the allergic reaction caused by the first transfusion.

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The line of reflection is y = -1, which is the equation of the horizontal line passing through the midpoint of the line segment joining E and E'.

Two different points on a line define the boundaries of a line segment in geometry. Or, a line segment is a section of the line that links two points, as another alternative. In contrast to a line, which has no endpoints and can go on forever, a line segment has two distinct endpoints that are set or identifiable.

From the given image, we can see that the original polygon ABCDE has point E at (-3, 1), and the reflected polygon A'B'C'D'E' has point E' at (-3, -3). This means that the reflection must have occurred across the horizontal line passing through the point (-3, -1), which is the midpoint of the line segment joining E and E'.

Therefore, the line of reflection is y = -1, which is the equation of the horizontal line passing through the midpoint of the line segment joining E and E'.

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Answer:

Step-by-step explanation:

The equation you provided, y = 2/5 + 2, appears to be missing the variable x. Assuming you meant y = 2/5x + 2, here's how you can find the x-intercept:

To find the x-intercept, we need to find the value of x when y = 0. This is because the x-intercept is the point on the graph where the line crosses the x-axis, and at that point, the y-coordinate is always 0.

So, we can set y = 0 in the equation:

0 = 2/5x + 2

Subtracting 2 from both sides:

-2 = 2/5x

Multiplying both sides by 5/2:

-5/2 = x

Therefore, the x-intercept is at the point (-5/2, 0).

the answer would be 3.872983 but rounding that off would be 3.9

answer: 3.9

Answer:

The slope is 1.  This is the cost of each matinee.

The y intercept is 40.  This is the cost of the pass.

Step-by-step explanation:

Equation:

y = x + 40

y represent the total spend on seeing movies.  Seth's dad pays a one time 40 fee and then 1 for each movie.  The x represents the number of movies that he goes to see.

Examples:

His total cost if he goes to see one movie is

y = x + 40

y = 1 + 40

y = 41

His total cost if he goes to see 10 movies is

y = x + 40

y = 10+ 40

y = 50

His total cost if he goes to see 15 movies is

y = x + 40

y = 15 + 40

y = 55

Helping in the name of Jesus.

Step-by-step explanation:

The formula to calculate the future value of a present value deposit with compounding interest is:

FV = PV × (1 + r/n)^(n*t)

Where:

PV = Present Value (the initial deposit)

r = Annual interest rate (as a decimal)

n = Number of compounding periods per year

t = Number of years

Using this formula, we can calculate the future value of the $6000 deposit after 15 years:

PV = $6000

r = 6% = 0.06

n = 4 (compounded quarterly, i.e. 4 times per year)

t = 15 years

FV = $6000 × (1 + 0.06/4)^(4*15)

FV = $6000 × 1.458^60

FV = $6000 × 6.2565

FV = $37,539.00

Therefore, the future value of the $6000 deposit after 15 years with quarterly compounding at 6% interest rate is $37,539.00.

Answer:

the answer is 2 pls mark me brainliest

The age of Ngozi if ngozi is twice as old as Ada and Agnes 13 1/3 of ada if sum of their age is 30 is 3.68 years.

Let

Ada age = x

Agnes age = 13 1/3x

Ngozi age = 2x

30 = x + 13 1/3x + 2x

30 = 3x + 40/3x

30 = 49/3x

divide both sides by 49/3

x = 30 ÷ 49/3

multiply by the reciprocal of 49/3

x = 30 × 3/49

x = 1.84 years

Ngozi age = 2x

= 2(1.84)

= 3.68 years

Therefore, Ngozi is 3.68 years old

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Answer:

Therefore, the break-even point for the entire company is approximately 0.784 or 78.4%.

Step-by-step explanation:

To calculate the break-even point, we need to find the total contribution margin, which is the difference between the total sales revenue and total variable expenses.

For Product R38T, the contribution margin is $33,000 - $8,840 = $24,160.

For Product X08S, the contribution margin is $54,000 - $32,050 = $21,950.

The total contribution margin for both products is $24,160 + $21,950 = $46,110.

To calculate the break-even point, we divide the total fixed expenses by the total contribution margin:

Break-even point = Total fixed expenses / Total contribution margin

= $36,130 / $46,110

= 0.784

Therefore, the break-even point for the entire company is approximately 0.784 or 78.4%.

Answer:

Area of shaded region= 1142.96mm²

Step-by-step explanation:

•First calculate the Area covered by the interior circle.

•To calculate the Area of the exterior circle first add the two radii to get the radius from the centre of the interior circle to the circumference of the exterior circle.

•Use the calculated radius to calculate the Area covered from the centre to the circumference of the exterior circle.

•Now subtract the Area of the interior circle from the area covered by the bigger circle to get the Area of the shaded region.

Answer:

1141.76

Step-by-step explanation:

To solve for the area of the entire circle, we must first solve for the radius. Adding 6 and 14 will get us the total radius of the circle.

Therefore, the radius of the entire circle is 20.

The expression you can use to solve for the area of a circle is:

Inserting the radius into the expression:

Therefore, the area of the entire circle is 400π.

If there is a hole in the circle in the shape of a circle, we must subtract the area of that hole to find the area of the shaded region.

Inserting 6 into the expression to solve for area:

Therefore, the area of the hole is 36π.

Now, we need to subtract the area of the gap from the area of the entire circle.

Because π is approximately equal to 3.14, we can calculate an approximate value for 364π by multiplying 364 by 3.14. This gives us:

Therefore, the area of the shaded region is [tex]1141.76^{2}[/tex]

Yes triangles are similar.

SAS theorem is used to prove triangles are similar.

The SAS similarity theorem states that if any two sides of the first triangle are exactly proportional to any two sides of the second triangle and the angle created by these two individual triangles is identical, then the two triangles must be similar. When we only know the length of two sides and the angle produced between those two sides in each triangle, this rule is often implemented.

ΔRST and ΔHJK triangles are similar.

According to the SAS theory,

∠ S=∠J (angles are equal)

SR/HJ=ST/JK

6/10=4.8/8.6=.6( both sides are proportional)

Triangles ΔRST and ΔHJK are hence identical.

Two triangles can be compared using the Side-Angle Theorem.

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The quadrilateral is most specifically a parallelogram because the opposite sides are parallel to each other

A parallelogram is a geometric shape with four sides, where opposite sides are parallel and congruent (having the same length), and opposite angles are also congruent (having the same measure).

In other words, a parallelogram is a quadrilateral (a polygon with four sides) where both pairs of opposite sides are parallel.

The opposite sides of a parallelogram are equal in length, and its diagonals bisect each other. The area of a parallelogram is equal to the product of its base (one of its sides) and its height (the perpendicular distance between the base and the opposite side).

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Answer:

(- 2, - 8 )

Step-by-step explanation:

y = 4x → (1)

y = 8x + 8 → (2)

substitute y = 8x + 8 into (1)

8x + 8 = 4x ( subtract 4x from both sides )

4x + 8 = 0 ( subtract 8 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

substitute x = - 2 into (1)

y = 4x = 4(- 2) = - 8

solution is (- 2, - 8 )

Answer:(-2,-8)

Step-by-step explanation:

if you use a graph and find where they intercept that will give you the answer use desmos graphing

Answer:

the missing 10% of 144 is 16. The whole amount would be 144 + 16 = 160.

Step-by-step explanation:

To find the missing 10%, you can use the fact that 100% is equal to the whole amount, and set up a proportion:

90/100 = 144/x

Simplifying this proportion, you can cross-multiply:

90x = 100 * 144

Then, you can solve for x:

x = (100 * 144) / 90

x = 160

Therefore, the missing 10% of 144 is 16. The whole amount would be 144 + 16 = 160.

1. The number of sides of the polygon is 8

2. The value of x is 36

A polygon can be defined as a flat or plane. The sum of a regular polygon is expressed as (n-2)180. The sum of exterior angle of a polygon is 360.

Therefore the sum of the interior is 5 times the exterior.

(n-2)180 = 5×360

180n - 360 = 1800

180n = 1800-360

180n = 1440

divide both sides by 180

n = 1440/180

n = 8

therefore the number of sides of the polygon is 8

2. The number of sides of the polygon is 6

Therefore the sum of angle in the polygon = 6-2)180 = 4× 180

= 720°

x+3x+6x+4x+4x+2x = 720

20x = 720

x = 720/20

x = 36

therefore the value of x is 36

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The perimeter of the triangle JKL, obtained using the two tangent theorem, is 138 units

The two tangent theorem states the segments from the circle to the point at which two tangents to the circle meet are congruent.

The two tangent with common external point theorem indicates that the relationships between the lengths of the segments are;

5·x - 8 = 8·x - 35

8·x - 35 = 5·x - 8

8·x - 5·x = 35 - 8 = 27

3·x = 27

x = 27/3 = 9

7·y - 9 = 2·y + 11

7·y - 2·y = 11 + 9 = 20

5·y = 20

y = 20/5 = 4

LO = 32 - (2·y + 11)

Therefore; LO = 32 - (2 × 4 + 11) = 13

The two tangents theorem, indicates that we get;

The perimeter, P, of the triangle JKL is therefore;

P = (5·x - 8) + (8·x - 35) + (7·y - 9) + (2·y + 11) + LM + LO

P = (5×9 - 8) + (8×9 - 35) + (7×4 - 9) + (2×4 + 11) + 13 + 13 = 138

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Answer:

The next number is 24

Step by step explanation:

0 3 8 15

+3 +5 +7(the difference here is 2) so the next one will be +9. 15+9=24.

The radius of the circle is r = 3.75

The radius of a circle is the distance from its center to its circumference.

To find the radius of the circle, we see that there is a right-angle triangle there. So, using Pythagoras' theorem, we have that

AC² = AB² + BC²

(6 + r)² = 9² + r²

Expanding the brackets, we have that

36 + 12r + r² = 81 + r²

Cancelling out r², we have that

36 + 12r = 81

Subtracting 36 from both sides, we have that

12r = 81 - 36

12r = 45

r = 45/12

r = 15/4

r = 3.75

So, the radius is r = 3.75

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A. 250 red, 250 blue, 250 green, 125 yellοw, and 125 οrange is the mοst likely distributiοn οf the cοlοrs οf candies in the bag befοre it was οpened

A mathematical equatiοn links twο statements and utilises the equals sign (=) tο indicate equality. In algebra, an equatiοn is a mathematical assertiοn that prοves the equality οf twο mathematical expressiοns. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical fοrmula may be used tο determine hοw the twο sentences οn either side οf a letter relate tο οne anοther. The lοgο and the particular piece οf sοftware are usually identical. like, fοr instance, 2x - 4 = 2.  

We must make use οf the data the students cοllected in οrder tο calculate the mοst likely distributiοn οf the candy cοlοurs in the bag befοre it was οpened. Nοw, let's determine the tοtal amοunt οf sweets the pupils pulled οut:

40 sweets divided by 4 pupils is 80 candies.

We may assume that there were twice as many red candies in the bag befοre it was οpened if the kids tοοk οut 40 οf them:

4 x 250 = 1,000

By emplοying this technique, we may determine hοw many candies οf each hue were included in the bag priοr tο its οpening.

Thus,  A. 250 red, 250 blue, 250 green, 125 yellοw, and 125 οrange is the mοst likely distributiοn οf the cοlοrs οf candies in the bag befοre it was οpened

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Answer:

Number of Months 4 8 18

Amount Saved ($) 50 100 225

What is the constant of proportionality?

The constant of proportionality is 25.

Step-by-step explanation:

Answer: Sorry, I need more info.

Step-by-step explanation:

Can you please post the graph and the value of point Z? It's impossible to answer without this information. I'm sorry I couldn't help very well.

Answer:

9 apples

Step-by-step explanation:

1 apple + 2 apples + 7 apples= 9 apples

Answer:

1+7+2= 10

Step-by-step explanation:

1 apple + 7 apples + 2 apples = 10 apples

The arc length is 2.2π

The central angle is an angle with twο arms and a vertex in the middle οf a circle. The twο arms οf the circle's twο radii intersect the circle's arc at twο different lοcatiοns. A circle can be divided intο sectοrs by using the central angle. A central angle might be fοund οn a pizza slice.

Given that the radius οf the circle is 18 inches.

The fοrmula circumference οf a circle is 2πr.

The circumference οf a circle is 2×π×18 =36 π inches.

The tοtal degree οfa circle is 360°.

The arc length with a central angle 360° is 36 π

Apply unitary methοd:

The arc length with a central angle 1° is 36 π/360°.

The arc length with a central angle 22° is (36 π×22°)/360° = 2.2π

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m4 + m5 + m6 = 2m4 + m5 = 180, which proves that the interior angles of a triangle have a sum of 180 degrees.

Interior angles of a triangle are the angles formed inside a triangle at each of its vertices. The sum of these angles is always 180 degrees in a Euclidean plane.

This statement can be used because lines l and m are parallel, which means that m4 and m6 are corresponding angles and are congruent. This means that m4 = m6. Also, m5 and m4 are alternate interior angles, which means that they are congruent as well.

we can substitute m6 with m4 in the first equation to get:

m4 + m5 + m4 = 180

2m4 + m5 = 180

Therefore, the equation simplifies to:

2(180 - m5) + m5 = 180

360 - 2m5 + m5 = 180

m5 = 180 - 360 + 2m5

m5 = 2m5 - 180

m5 = 180

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