Find the monthly payment of an ordinary annuity if the present value is 18,500 with an interest rate of 10% compounded quarterly for 6years.​

Answer:

false

Step-by-step explanation:

what is the question

9514 1404 393

Answer:

  8π miles

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = 2πr

For a radius of 4 miles, the circumference is ...

  C = 2π(4 miles) = 8π miles

We are given that Bharat travels with a speed of 12 km/h and Ingrid travels at a speed of 14 km/h.

Part a. Given that the distance that Bharat has traveled is "b" this means that the distance that Ingrid has traveled is:

Where:

We can see this in the following diagram:

Part b. We need to determine two equations to solve for the time when the distance apart is 78 kilometers. To do that we need to remember that distance is the product of velocity and time. Therefore, if the distance of Bharat is "b", then the first equation is:

Now, if "I" is the distance of Ingrid, then the second equation is

But, we already know the distance that Ingrid has traveled, therefore, we can substitute:

Part 3. Now, we are asked to determine the time. To do that we will add both equations:

Now we can cancel out the "b":

Adding like terms:

Since the distance apart is 78 kilometers, we can substitute:

Now we divide both sides by 26;

solving we get:

Therefore, after 3 seconds they will be 78 km apart.

The solution of the trigonometric equation -cot²θ = 1 + 2cotθ. is θ =3 π/4 or 7π/4

A trigonometric equation is an equation that contains the trigonometric ratios.

Given that  -cot²θ = 1 + 2cotθ.

We solve the trigonometric equation as follows

-cot²θ = 1 + 2cotθ

Re-arranging the equation, we have that

-cot²θ - 2cotθ - 1 = 0

Dividing through by - 1, we have

cot²θ + 2cotθ + 1 = 0

Factorizing the equation, we have that

cot²θ + cotθ + cotθ + 1 = 0

cotθ(cotθ + 1) + (cotθ + 1) = 0

(cotθ + 1)(cotθ + 1) = 0

(cotθ + 1)² = 0

(cotθ + 1) = 0

cotθ = -1  (twice)

1/tanθ = -1    (since cotθ = 1/tanθ)

tanθ = -1  

Taking inverse tan of both sides, we have

θ = tan⁻¹(-1)

= π -  π/4 or 2π - π/4

= 3π/4 or 7π/4

So, the solution is θ = 3π/4 or 7π/4

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Answer:

7e+6

Step-by-step explanation:

biggest answer

Edwin needs to sell 44,625 jars of jam to break even.

To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:

Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)

Given information:

Selling Price per Unit (SP) = $1.90

Variable Cost per Unit (VC) = $1.10

Fixed Expenses = $35,700.00 per year

Plugging in the values into the formula:

Breakeven Point = $35,700 / ($1.90 - $1.10)

Breakeven Point = $35,700 / $0.80

Breakeven Point = 44,625 jars

Therefore, Edwin needs to sell 44,625 jars of jam to break even.

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Answer:

this is confusing

I feel bad for you having to answer this

Step-by-step explanation:

Answer:

120°

Step-by-step explanation:

AB //CD and EF is transversal. When two parallel lines are cut by a transversal, the alternate exterior angles are congruent.

      ∠CHF = ∠BGE

                = 120°

Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

Answer:

Step-by-step explanation:

The side opposite the 30 degree angle is always half of the hypotenuse in the 30,60,90 triangle so

h=2(6)

h=12

Step-by-step explanation:

V = (1/2) (4/3) π(d/2)3

Plug in

d = 56.7 in

and get V in units of in3.

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

Slope intercept form;

y = mx + b

Find the slope first:

y1 - y2          9 - 4             5

______ =  _______ =  ____ = is undefined

x1 - x2           3 - 3             0

so

y = 5/0x

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{3}}}\implies \cfrac{5}{0}\implies und efined\)

usually there's no hmm slope-intercept form for it per se, the equation will be like the one in the picture below.

Answer:

7a^6b

Step-by-step explanation:

Using the pascal triangle to do this binomial expansion, we find out that the coefficient is 7. The a variables start at the power to which you are expanding and reduce by 1 for every consecutive term. The b variables start at the power of 0 and increase by 1 for every consecutive term. Using this information, we find out that the second term in the binomial expansion (a+b)^7 is 7a^6b

Note that the power of b in the second term is b^1 which is the same as b

Answer:

The 99 % confidence interval on the basis of mean is ( 21.7393  ;   22.0257)

Step-by-step explanation:

Mean = Sum of observations / Number of observations

Mean = 21.88 +21.76 +22.14 +21.63+ 21.81 +22.12+ 21.97+ 21.57+ 21.75+ 21.96 +22.20 +21.80/ 12

Mean =x`= 262.59/12=  21.8825

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

∑x²/n= 478.7344 +473.4976 + 490.1796+467.8569+ 475.6761 + 489.2944+ 482.6809+ 465.2649+ 473.0625+ 482.2416 +492.84 + 475.24/ 12

∑x²/n= 5746.5689/12= 478.8807 = 478.881

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

s= 478.881- (21.8825)²= 478.881-478.843= 0.037

The confidence limit 99% for the mean will be determined by

x` ± α(100-1) √s/n

Putting the values in the above equation

= 21.8825 ± 2.58 √0.037/12

Solving the square root

= 21.8825 ± 2.58 (0.05549)

Multiplying the square root with 2.58

=21.8825 ± 0.1432

Adding and subtracting would give

21.7393  ;   22.0257,

Hence the 99 % confidence interval on the basis of mean is ( 21.7393  ;   22.0257)

Answer:

34 mm

Step-by-step explanation:

P = 2 x (L + B) for a rectangle

P = 2 x (10 + 7) = 2 x 17 = 34

Answer:

1 = 130° , 2 =50° , 3 = 85°, 4=45°

Step-by-step explanation:

1 =45 + 85 = 130 { sum of opposite interior angle equals exterior angle}

2 = 180 - 1 { angles on a straight line equals 180}

= 180 -130 = 50°

4 = 180 - 135 = 45° { angles on a straight line equals 180}

3 = 135 -2 { sum of opposite interior angles equals exterior angle; 3 + 2 = 135}

3 = 135-50 = 85°

Note : sum of opposite interior angles equals external exterior angle, let's prove it:

If we look at the triangle at the bottom left, we have :

85, 45 and r { let's denote r as the missing angle}

So 85 + 45 + r = 180° { sum of angles of a triangle}

By simple arithmetic

r = 180 - ( 85+45) = 180 - 130 = 50°

but r + 4 = 180° { sum of angles in a straight line equals 180°}

4 = 180 - 50 = 130°

So you see 4 is the exterior angle of the triangle opposite to 85° and 45° interior angles}

Answer:

Point A is at (0, –4).

Point B is at (–8, –7).

Step-by-step explanation:

point A is 4 units down : y = –4

Point B is 8 units to the left : x = –8

and 7 units down: y = –7

A : (0, –4)

B : ( –8, –7)

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

112x-420

Step-by-step explanation:

(5x + 9)  (8x - 30)

distribute 5x into (8x-30)

then same with 9 into (8x-30)

then combine like terms and u will get da answer

hope this helps with da pic dat i attach  

The requried solution of the given expression is x = 13.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
5x + 9 = 8x - 30

Isolate the variable and constant terms

3x = 39
x = 39/3
x = 13

Thus, the requried solution of the given expression is x = 13.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

First find the distance per hour by dividing

432/24=18

multiply the rate with 16 hours

18 km per hour x 16 hours = 288 km in 16 hours

Step-by-step explanation:

Answer:

288km

Step-by-step explanation:

if a boat travels 432km in 24 hours .

then

it will cover x km in 16 hours

Using Direct Proportion:

\( \mathsf{x = \frac{432 \times 16}{24} } \)

\( \mathsf{x = \frac{432 \times 2}{3} }\)

\( \mathsf{ x = 144 \times 2}\)

\( \boxed{ \mathsf{ \implies \: 288km}}\)

hence the boat is gonna travel 288km in 16 hours

The normal distribution illustrates that the two scores that applicants must score in between in order to be considered for the positions are 31.71 and 48.29

Population Mean,μ = 40

Population Standard Deviation,σ = 8

X be the random variable follows normal distribution

X ~ N ( μ = 40 ,σ = 8 )

Z =(X - μ)/σ

Now

p(Z < z)= 0.15

p(Z< -1.036 )= 0.15 from z table

i.e z= -1.036

from z score formula

x = μ + zσ

= 40 + -1.036 x 8

= 31.71

and

p(Z > z)= 0.15

p(Z> 1.036 )= 0.15

(from z table )

i.e z= 1.036

From z score formula

x = μ + zσ

= 40 + 1.036 x 8

= 48.29

Therefore, the two scores are 31.71 and 48.29.

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The statement that most accurately describes patterns of Irish immigration in the mid-19th century is: its peaked in approximately 1851. The Option D is correct.

Irish immigration to the United States in the mid-19th century was characterized by several factors:

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Answer:

$2.85 per person

Step-by-step explanation:

$191.10 * 0.15 = $28.665 tip

total tip divide by 10 people

$28.665/10 = $2.85

Each person has to contribute $2.85 amount for the tip.

Given,

Total no. of person go out for dinner = carrie + her nine friends

                                                             = 1+9 = 10

Amount of the bill is = $191.10

Amount of tip is = 15% of the bill

                           = \(\frac{15 }{100}\) × $  191.10

                           = 28.665

Total amount each person contribute an equal amount for tip is = \(\frac{28.665}{10}\)

=$ 2.85

Each person contribute $2.85 amount for the tip.

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Answer:

Step-by-step explanation:

y - 4 = -(x - 2)

y - 4 =-x + 2

y = -x + 6

let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).

So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)

Answer:

y = -3(x + 1)^2 + 2

Step-by-step explanation:

y = a(x - h)^2 + k is the vertex form of a quadratic, where

Finding (h, k):

We see from the graph that the vertex is a maximum and its coordinates are (-1, 2).  Thus h is -1 and k is 2.  Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).

Finding a:

In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k.  We see that (0, -1) lies on the parabola so we can use this point for (x, y).

-1 = a(0 - (-1))^2 + 2

-1 = a(0 + 1)^2 + 2

-3 = a(1)^2

-3 = a

Thus, a = -3.

Thus, the exact equation in vertex form of the parabola is:

y = -3(x + 1)^2 + 2

I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.

The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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The surface area of the backyard can be estimated using the measurements of y, taken every 3 feet for a 36 feet long yard, and using a mathematical formula such as the trapezoidal rule or numerical integration method.

The surface area of the backyard can be estimated by using a mathematical formula such as the trapezoidal rule or numerical integration method. To use the trapezoidal rule, the man would need to calculate the average height between each of the y measurements and use this average height as the height of a trapezoid with a base equal to the 3-foot increment.

The man would then sum up the areas of all the trapezoids to estimate the total surface area of the backyard. Numerical integration is a more complex method that uses more advanced mathematical concepts, such as calculus, to estimate the surface area. Both methods can provide an estimate of the surface area, but the accuracy of the estimate will depend on the accuracy of the y measurements.

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