Find the length of the third side. If necessary, write in simplest radical form.

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The interest percent and the maturity period of the $70,000 mortgage with a monthly payment of $629.81 are A. 9%, 20 years.

The monthly payments can be computed using the present value annuity table or formula.

However, to compute the percent interest and the maturity period, we can use an online finance calculator as below by inputting the calculated monthly payments.

Thus, at an interest rate of 9% for 20 years and a monthly payment of $629.81, the present value of $70,000 will be equal.

N (# of periods) = 240 (20 years x 12)

I/Y (Interest per year) = 9%

PMT (Periodic Payment) = $629.81

FV (Future Value) = $0

Results:

PV = $70,000.20

Sum of all periodic payments = $151,154.40 ($629.81 x 240)

Total Interest $81,154.20

The interest percent and the maturity period of the $70,000 mortgage with a monthly payment of $629.81 are A. 9%, 20 years.

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Answer:

3

Step-by-step explanation:

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Given Question

For the expression [tex]2x-5[/tex], evaluate it for [tex]x = (0, 1, 2, 3, 4, 5)[/tex].

From the evaluated set of values the mean absolute deviation rounded off to the nearest tenth is:

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Evaluating the expression for the given values of x:

[tex]x=0 \implies 2(0)-5=-5[/tex]

[tex]x=1 \implies 2(1)-5=-3[/tex]

[tex]x=2 \implies 2(2)-5=-1[/tex]

[tex]x=3 \implies 2(3)-5=1[/tex]

[tex]x=4 \implies 2(4)-5=3[/tex]

[tex]x=5 \implies 2(5)-5=5[/tex]

Evaluated set of values: -5, -3, -1, 1, 3, 5

To find the Mean Absolute Deviation (MAD):

[tex]\sf Mean=\dfrac{(-5)+(-3)+(-1)+1+3+5}{6}=0[/tex]

Absolute values:

[tex]\sf|-5-0|=5[/tex]

[tex]\sf|-3-0|=3[/tex]

[tex]\sf|-1-0|=1[/tex]

[tex]\sf|1-0|=1[/tex]

[tex]\sf|3-0|=3[/tex]

[tex]\sf|5-0|=5[/tex]

Sum of absolute values = 18

[tex]\sf \implies MAD=\dfrac{18}{6}=3[/tex]

Answer:

B is 88 and C is 44

Step-by-step explanation:

I know I am right and I did the math

The sample regression y = 10 + 2x is a linear regression equation

The estimated value of y if x = 5 is 20

The sample regression equation is given as:

y = 10 + 2x

When x = 5, the equation becomes

y = 10 + 2 * 5

Evaluate the product

y = 10 + 10

Evaluate the sum

y = 20

Hence, the estimated value of y if x = 5 is 20

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Answer:

[tex]3 \frac{3}{4} - 2 \frac{1}{5} \\ \\ \frac{15}{4 } - \frac{11}{5} \\ \\ \frac{75}{20} - \frac{44}{20} \\ \\ = \frac{31}{20} = 1.55 = 1 \frac{11}{20} [/tex]

The equation of the model h will be h = 6 × sin(2πt/8). Then the correct option is C.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

A buoy starts at a height of 0 in relation to sea level and then goes up.

Its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds.

Then we have

[tex]h=A \times \sin \omega t, \ \ at=0, \ \ h =0[/tex]

The maximum displacement of the buoy in either direction is 6 ft, then we have

[tex]h=6 \times \sin \omega t[/tex]

The time it takes the buoy to get from the lowest to the highest point is 4 seconds then the oscillation time period will be 8 seconds.

Then we have

[tex]\omega T = 2\pi\\\\\omega = \dfrac{2\pi}{8}[/tex]

Then the h will be given as

[tex]h =6\times \sin (\dfrac{2\pi}{8}t)[/tex]

More about the function link is given below.

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Answer:

$48.

Step-by-step explanation:

$480-$48

=$432

after the discount

Answer:

a5 = 2604

Step-by-step explanation:

a1 = 4

a2 = -5(4)-1 = -21

a3 =-5(-21)-1 = 104

a4 = -5(104)-1 =-521

a5 =-5(-521)-1 = 2604

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:a1 = 4[/tex]

Now, let's proceed next till we get[tex] \tt a_5 [/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{(2 - 1)}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{1}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = (- 4 \times 4)_{}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 16_{}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 11[/tex]

Similarly,

[tex]\qquad \tt \dashrightarrow \: a_3 = 49[/tex]

[tex]\qquad \tt \dashrightarrow \: a_4= - 191[/tex]

Now, let's solve for [tex]\tt a_5 [/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= - 4( - 191) + 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= 764 + 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= 769[/tex]

Answer:

[tex]0.01\ ounce[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of 10 drops

[tex]1\ ounce / 1000\ drops[/tex]

[tex]0.001\ ounce/drop[/tex]

[tex]0.001\ ounce/drop * 10\ drops[/tex]

[tex]0.01\ ounce[/tex]

Answer:  [tex]0.01\ ounce[/tex]

Answer:

The volume of 10 drops of a liquid is 0.1 fluid ounce.

Step-by-step explanation:

I hope this will help you

$4.04 is the answer.

30 x $6.00 = $180

70 x $3.20 = $224

$180 + $224 = $404

404/100 = $4.04

The cost per pound of the blend will be $4.04.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth $3.20 per pound.

Then the cost per pound of the blend will be

⇒ 30 x $6.00 + 70 x $3.20

⇒ $180 + $224

⇒ $404

The cost per pound of the blend will be

⇒ $404 / 100

⇒ $4.04

The cost per pound of the blend will be $4.04.

More about the Algebra link is given below.

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Answer:

Kiko was right.

Step-by-step explanation:

When a positive integer is multiplied by another positive integer, the product is positive. When a negative integer is multiplied by a positive integer, then the product is negative. The power should also be considered as well, since it can affect whether the integer is positive or negative depending on if it's even or odd.

Answer:

Step-by-step explanation:

given that a bag contains 6 balls labelled A to F.

Given that a ball is drawn at random and its letter is recorded as outcome.

Since each ball is equally likely to be drawn the sample space for one ball drawing is

S = {A,B,C,D,E,F} and n(S) = 6

Let G be the event of choosing a lable from D to F

G = The event of choosing a label from D to F= {D,E,F}  n(A) = 3

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled:  A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

       This means that the sample space is given by:

                     Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from   D to F.

            Then the sample space is:

                     Sample space= {D,E,F}

Answer:

The answer is the 1

Step-by-step explanation:

She has a less chance because there are 4 questions with 4 answers so that decreased her chances.

Answer: the answer is 186

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

We could use the distance formula to find the distance between the points in this problem, but when we look we see that the sides of the rectangle are parallel to the x and y-axis for each pair of sides. The first two points have a distance of 3 because 4-1=3. Since it is a rectangle, the opposite side will have the same length. For the sides perpendicular, we look at the points with the same x coordinate. Using (4,2) and (4,-3), we can calculate the length of the side by finding the distance by adding the absolute values of the y coordinate. 2+3=5. This means that the triangle has two sides with a length of 5 and two sides with a length of 3. Adding these together, 5+5+3+3 = 16.

Answer:

12%

Step-by-step explanation:

Simple interest formula:  A = P(1 + rt)

where:

Given:

Substitute given values into the formula and solve for r:

⇒ A = P(1 + rt)

⇒ 2232 = 1800(1 + r · 2)

⇒ 1.24 = 1 + r · 2

⇒ 0.24 = 2r

⇒ r = 0.12

Convert into percentage:

0.12 = 12/100 = 12%

Considering the recursive rule, the explicit rule for the arithmetic sequence is given by:

[tex]a_n = 14 + 4(n - 1)[/tex]

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

From the recursive sequence, we have that the first term is [tex]a_1 = 14[/tex], while each term is the previous added to four, hence the common difference is d = 4. Thus, the explicit formula is given by:

[tex]a_n = 14 + 4(n - 1)[/tex]

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

Answer:

The answer is 675.75 square Inches

Step-by-step explanation:

Now,

Radius (r) = diameter ÷ 2

r = 14/2 in.

r = 7 in.

Now,

A = 4πr²

A = 4 × 22/7 × (7)² in.

A = 4 × 22 × 7 in.

A = 615.75 square in.

Thus, The area of the beach ball with a diameter of 14 in. is 615.75 square in.

Answer:

  615.8 in²

Step-by-step explanation:

The area of a sphere is given by the formula ...

  A = 4πr² . . . . . sphere of radius r

In terms of diameter, the area is ...

  A = 4π(d/2)² = πd²

__

For a diameter of 14 inches, the area of the beach ball is ...

  A = π(14 in)² = 196π in² ≈ 615.8 in²

The area of the ball is about 615.8 square inches.

Answer:

a and -b is the answer

Step-by-step explanation:

(x-a)(x+b) = 0

x-a = 0 and x+b = 0

then

x = a and x = -b

Answer:

The price is $29.75

Step-by-step explanation:

Because it is 15 percent off, that means that the jeans are priced at 100%-15%=85%. To convert a percent to a decimal, move the decimal two places to the left. This gives us .85. Multiply 35 by .85 and you will get 29.75. Hope this helps!

Answer:

Step-by-step explanation:

Equation: y = 20x

y = # of gallons

x = minutes

6.

So, you substitute (0, 1, 2, 3 and 4 minutes) for x, to find the number of gallons:

x = 0 mins:

y = 20x

y = 20(0)

y = 0 gallons

(0, 0)

x = 1 min.

y = 20x

y = 20(1)

y = 20 gallons

(1, 20)

x = 2 mins.

y = 20x

y = 20(2)

y = 40 gallons

(2, 40)

x = 3 mins.

y = 20x

y = 20(3)

y = 60 gallons

(3, 60)

x = 4 mins.

y = 20x

y = 20(4)

y = 80 gallons

(4, 80)

7. View the attached graph

8. Predict the amount of water in the tank after 6 mins.

We use the same equation, y = 20x for this question

y = 20x

y = 20(6)

y = 120 gallons

(6, 120)

8. Linear ==> straight line

   Non-linear ==> anything other than a straight line (curved line)

As you can see from my attached graph, the relationship between x and y and linear, because the graph has a straight line.

Hope this helps!

Answer:

x=59 y= 81 z= 99

Step-by-step explanation:

z=

180-(57+24)=99

y=180-99=81

x= 40+81=121

180-121=59

Step-by-step explanation:

pls put the image as well becoz the dimensions are not shown

Answer:

d'marjay ate more pizza , because if bryan ate 3/8 , then d'marjay ate the rest of the pizza , so she could've eaten more

Answer: 3/6

Step-by-step explanation: If the "top number" of multiple fractions is the same, then the smaller "bottom number" is the larger one.

Answer:

9

Step-by-step explanation:

Was this a joke or something

Answer:

7 1/4 inches

Step-by-step explanation:

Combining 2 and 5 inches, we get 7 inches.

Combining 7 inches and 1/4 inches, we get 7 1/4 inches.

Answer: 7.25 inches

2+5= 7 inches

1/4=0.25

7+0.25 = 7.25 inches :)

Answer:

[tex]\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

Let's take a look at the unit circle below.

Remmeber that cos represents the x-value and that sin represents the y-value.

We see that:

[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]

Now we just multiply all the together and we get:

[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

Radius of the pizza = 1/2 * 8 = 4 in.

Area of the whole pizza = π r^2

=  π * 4^2

= 8 π

So if you take 1/8 away

the area left = 7/8 * 8 * π

= 7π

Taking π to be 22/7:

= 7 * 22/7

= approximately 22 in^2.