Find the rule to complete the pyramid.

The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 3% per year compounded 12 times per year over 0.5 years is $1,015.09.

Given Data

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 1,000.00(1 + 0.03/12)^(12)(0.5)

A = 1,000.00(1 + 0.0025)^(6)

A = $1,015.09

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Answer:

t = [tex]\frac{14}{5}[/tex]

Step-by-step explanation:

Parallel lines have equal slopes.

calculate the slope m of PQ and then equate the slope of AB to slope of PQ

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = P (- 2, 4 ) and (x₂, y₂ ) = Q (4, - 1 )

[tex]m_{PQ}[/tex] = [tex]\frac{-1-4}{4-(-2)}[/tex] = [tex]\frac{-5}{4+2}[/tex] = - [tex]\frac{5}{6}[/tex]

now calculate slope of AB

with (x₁, y₁ ) = A (4, - 3 ) and (x₂, y₂ ) = B (t, - 2 )

[tex]m_{AB}[/tex] = [tex]\frac{-2-(-3)}{t-4}[/tex] = [tex]\frac{-2+3}{t-4}[/tex] = [tex]\frac{1}{t-4}[/tex]

equating the slopes gives

[tex]\frac{1}{t-4}[/tex] = - [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(t - 4) = - 6

5t - 20 = - 6 ( add 20 to both sides )

5t = 14 ( divide both sides by 5 )

t = [tex]\frac{14}{5}[/tex]

The number of students whose favorite color was blue is 184.

WE are Given that the number of students surveyed by Natalie is 800 and that 77% of them chose red as their favorite color.

We can determine the number of students who chose blue by Finding the percentage of students who chose blue and then converting it to the actual number of students who chose blue.

Consider x be the number of students who chose blue as their favorite color.

Therefore, the number of students who chose red is;

77% of 800

= 77/100 × 800

= 616

To find the number of students who chose blue, we need to subtract the number of students who chose red from the total number of students surveyed.

Therefore:

x = Total number of students surveyed - Number of students who chose red

x = 800 - 616

x = 184

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Rectangle GHIJ with the vertices G(2,-1) H(7,-1) I(7,-4) J(2,-4) is reflected across the line y= -5 to give G'(2, 3) H'(7, 3) I'(7, -3) J'(2, -3)  

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Rectangle GHIJ with the vertices G(2,-1) H(7,-1) I(7,-4) J(2,-4) is reflected across the line y= -5 to give G'(2, 3) H'(7, 3) I'(7, -3) J'(2, -3)  

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Answer:

160 in³

Step-by-step explanation:

First, Find the area of the base (rectangle)

A = LxW

= (10 in) x (8 in)

= 80 in²

Then, Find the volume of the pyramid using the formula (V = ⅓ x B x H)

V = ⅓ x B x H

= ⅓ x (80 in²) x (6 in)

= (2 in) x (80 in²)

= 160 in³

Answer:

Assuming this is volume, the answer is 153.33

Step-by-step explanation:

In a cube pyramid, the sides of the base are all the same, so if one side is 7, all of them are seven. To find the area of the base, the formula Area=Length x Width is used. Because the base is a square, the formula is simplified into Area=Side Length x Side Length. This gives us 49. The next step is to multiply this base times the height, 9.4, which is 460.6. However, this is the volume of a rectangular prism with those dimentions. A pyramid is a third of a rectangular prism. So, the answer is multiplied by 1/3, which is 153.33.

Hope this helps

Answer:

90 times

Step-by-step explanation:

I don't rly know how to explain it but it's 90 and I hope this helps you at least know the answer if not then sorry for wasting your time and may God bless you:)

Answer:

The top-left one.

Step-by-step explanation:

The bottom pictures show that Chef B chopped more carrots than Chef A.

So those pictures are incorrect.

The top-right picture shows that Chef A chopped twice as many carrots as Chef B. So, that isn't correct either.

Finally, we get to the top-left picture.

Chef A chopped 3 times as many carrots as Chef B.

Thus the correct answer is the top-left picture.

Also, I would appreciate it if you marked me as brainliest.

Answer:

multiply by 5

Step-by-step explanation:

Answer:

3 / C. Your answer is multiply by 5!!!!!

Step-by-step explanation:

Hope this helps!

Answer:

a+b

-------

 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I believe this is what they are asking on your problem.

Answer:

Amy has $75 to buy 6 new books.If each book costs $5, which equation represents the amount of money ( m) Amy will have left? A. 75-11= m B. 75+15= m C. 75-30= m D.75+30= m

Answer:

[tex]\boxed{\sf{140}}[/tex]

Step-by-step explanation:

A rectangular prism's volume must be determined in order to solve this problem.

Remember to use this rectangular prism formula:

[tex]\sf{V=l*w*h}[/tex]

L=7 in

W=5 in

H=4 in

Multiply.

7*5*4=140

140 in

Therefore, the correct answer is 140.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

V = 140 cubic units

We can split this equation into multiple steps to solve:
7 x 5 x 4 =
(7 x 5) x 4 =
35 x 4 = 140

Therefore your answer would be:
140 cubic units
Otherwise, known as option C.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between sides and trig functions in right triangles. These can be used to solve the triangles shown.

__

  Sin = Opposite/Hypotense

  sin(48°) = 15/o

  o = 15/sin(48°) ≈ 20.18 . . . . . . . . . multiply by o/sin(48°)

  Cos = Adjacent/Hypotenuse

  cos(48°) = b/o

  b = o·cos(48°) = 20.18·cos(48°) ≈ 13.51

For triangle BOX, o = 20.18, b = 13.51.

__

  Sin = Opposite/Hypotense

  sin(25°) = i/30

  i = 30·sin(25°) ≈ 12.68

  Cos = Adjacent/Hypotenuse

  cos(25°) = n/30

  n = 30·cos(25°) ≈ 27.19

For triangle TIN, i = 12.68, n = 27.19.

The horizontal distance to the nearest hundredth of a meter, that Liola covered is 129.03 m (option A)

The following data were obtained from the question:

The horizontal distance Liola covered as she drives 130 m up the hill can be obtained as follow:

Cos θ = Adjacent / Hypotenuse

Cos 7 = Horizontal distance / 130

Cross multiply

Horizontal distance = 130 × Cos 7

= 130 × 0.9925

= 129.03 m

Thus, the horizontal distance Liola covered is 129.03 m (option A)

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Answer:

Step-by-step explanation:

2+4(4x49)=4+39(563x7)

2+4x196=4+39x3941

2+784=4+153699

786=153703

This equation is

not possible because

786≠153703

Answer:

subtract one for heart drawn without replacement leaves 51 cards on which thirteen are clubs. probability of drawing club 13/51. After drawing a heart as first card there are 51 cards left and 13 of them are clubs. So the probability on drawing a club then equals 13/51

Answer:

4.67

Step-by-step explanation:

You can get this by adding the numbers together and dividing them the numbers of numbers in data set, or like this

2+6+7+2+2+9=28 Then count how many numbers you added.

2.Divide 28 by how many numbers you counted.

Answer:

160 degrees

Step-by-step explanation:

We can split up the angle into two sections:

One section is the right side which is a right angle so it is 90 degrees. The left side is already given (70 degrees).

So we just add them two together

70+90=160

The product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

The given expression is:

[tex](1.466*10^{-8} )(5.02*10^5)[/tex]

We can rewrite the given expression as

[tex](1.466*5.02)(10^{-8} *10^5)[/tex]

If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.

[tex]a^m*a^n = a^{m+n}[/tex]

[tex]1.466*5.02=7.35932[/tex]

[tex]10^{-8} *10^5 = 10^{-3}[/tex]....from exponent addition rule

So, [tex](1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}[/tex]

Therefore, the product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

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Answer:

7.3593 and -3

Step-by-step explanation:

Got it right on the assignment.

Considering the circle of the given equation, and comparing to the standard equation of a circle, it is found that the given circle has radius is of [tex]\frac{1}{5}[/tex].

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the equation is given by:

[tex]\left(x + \frac{1}{5}\right)^2 + \left(y - \frac{2}{5}\right)^2 = \frac{1}{25}[/tex]

Hence, the radius is found as follows.

[tex]r^2 = \frac{1}{25}[/tex]

[tex]r = \sqrt{\frac{1}{25}}[/tex]

[tex]r = \frac{1}{5}[/tex]

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Answer:

c 1/5

Step-by-step explanation:

They are corresponding angles

Step-by-step explanation:

We know that x=75⁰ because

[tex]180 - 105 = 75[/tex]

75⁰ is angle EFB

Since we know this, and because we know that AD//EH,

We can conclude that x=75⁰(AD is parallel to EH and angle CBA or x and angle EFB are corresponding angles)

Answer:

-9 < x < 9

Step-by-step explanation: "<" is the symbol for "less than". -9 is less than x, or x is greater than -9. x is less than 9.

Answer:

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A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling.

Easy

Solution

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Radius of the wheel =r=

2

60

=30 cm

Circumference of the wheel =2πr=2×

7

22

×30=

7

1320

cm

Distance covered in 1 revolution =

7

1320

cm

Distance covered in 140 revolutions =

7

1320

×140=26400 cm=264 m=

1000

264

km

Distance covered in one minute = Distance covered in 140 revolutions =

1000

264

km

Distance covered in 1 hour =

1000

264

×60=15.84 km

Hence, the speed with which the boy is cycling is 15.84km/hr.

Answer:

1.

+4

number: 11

2.

x × 3

number: 48

3.

+5

number 46

4.

÷2

number: 19

5.

-1.5

number: 19.5

6.

-0.2

number: 31.2

Answer:

0.7

Step-by-step explanation:

5(9n-6)              

5×9n-5×6

45n-30

45n/45  -30/45

or 45n÷45-30÷45

n= 0.6666

0.7

hope dis helps!!!!!    

Answer:

C. work backwards

Step-by-step explanation:

I did it

Answer:3 or 3/10

Step-by-step explanation: