Jacob Hernandez invests $25,000 in a CD for 5 years. The CD earns interest at an annual rate of 5.5% compounded quarterly. What is the annual percentage yield to the nearest hundredth of a percent?

Answer:

10

Step-by-step explanation:

5 1/2  + 4 1/2 = 10

Answer:

sin 66 = C/15 or C = 15sin66 = 13.7

The surface area of the sphere is 144π square units.

"A sphere is a three-dimensional figure (solid figure), which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere".

For the given situation,

The axis of the sphere = 12 units

The axis is the diameter of the sphere.

The radius of the sphere, r = d/2

⇒ [tex]r=\frac{12}{2}[/tex]

⇒ [tex]r=6 units[/tex]

The formula for the surface area of the sphere, A = [tex]4\pi r^{2}[/tex]

[tex]A = 4\pi( 6)^{2} \\[/tex]

⇒ [tex]A=144\pi[/tex]

Hence we can conclude that the surface area of the sphere is 144π square units.

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1)Triangle : s = 6cm ; P= 18 cm

2.) Square : s = 7 cm ; P = 28 cm

3.) Rectangle = W = 4cm , L = 8 cm ; P = 24cm

4.) Regular Heptagon : s = 3cm ; P = 21 cm

5.) Circle : r = 12cm ; C = 24∏ cm.

What is circumference?

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.

Given that the length of each side of a triangle is 6 cm.

The perimeter of an equilateral triangle is 3a, where a is the length of the side of the equilateral triangle.

The perimeter of the triangle is 3 × 6 = 18 cm

The length of side of a square is 7 cm.

The perimeter of a square is 4a, where a is the length of the side of the square.

The perimeter of the square is 4 × 7 = 28 cm.

The length and breadth of a rectangle is W = 4 cm and L = 8 cm.

The perimeter of a rectangle is 2(L+ W)

The perimeter of the rectangle is = 2(8 + 4) = 2 × 12 =24 cm

The perimeter of Regular Heptagon is 7a, where a is the length of the side of the Regular Heptagon.

The perimeter of a Regular Heptagon is (7  × 3) = 21 cm

The perimeter of a circle with a radius r is 2∏r.

The perimeter of the circle is 2∏ × 12 = 24∏ cm.

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Answer:

Step-by-step explanation:

70%=0.7

90 X 0.7 = 63

ANSWER IS 63

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

1/8+1/8=2/8 simplified its 1/4 but if you dont want it simplified its 2/8

Answer:

+6

Step-by-step explanation:

Each interval has a difference of 6

The measure of each angle X and Y are x = 32 degrees and y = 58 degrees

From the question, we have the following parameters that can be used in our computation:

The above statements mean that

x + y = 90

y = 2x - 6

Substitute the known values in the above equation, so, we have the following representation

x + 2x - 6 = 90

Evaluate the like terms

3x = 96

Divide both sides by 3

x = 32

Substitute x = 32 in the equation y = 2x - 6

y = 2 * 32 - 6

Evaluate the equation

y = 58

Hence, the measure of the angle y is 58 degrees

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Answer:

98

Step-by-step explanation: do not question the wise one

The actual length of the modeled truck is 20.4 feet.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A model diagram of a truck and each gridline represent 1 cm distance.

Now, To find the length of this model we'll count the number of gridlines horizontally from two endpoints of the truck which is 12 gridlines hence 12 cm.

Also given that 1 cm is equal to 1.7 feet.

Therefore, The actual length of the truck is (1.7×12) feet.

= 20.4 feet.

So, the length of the truck is 20.4 feet.

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22/7×14×14×12

the answer is 7392

Answer:

The volume of a cube is the side length cubed.

V = s x s x s  where s is the length of the side = s x s^2 = 6s^2 so s must be 6.

The side length is 6 ,

Therefore the surface area is 6 times the area of each side = 6 x 6^2 = 6 x 36

= 108 square units

Answer:D

Step-by-step explanation:

Answer:

<AFB

Step-by-step explanation:

First you must know the two adjacent angles are placed side ways in a diagram. Most of this angles are supplementary i.e their sum is 180 degrees. From the diagram shown, you can see that the two angles that are supplementary are <BFD and <AFB. Hence we can conclude that <AFB is adjacent to <BFD

Based on the the information provided above, Ashley's and Saskia's numbers are equal to 22 and 7 respectively.

In order to write a system of equations to describe this situation, we would assign variables to Ashley's number and Saskia's number respectively, and then translate the word problem into an algebraic equation as follows:

Translating the word problem into an algebraic equation, we have the following:

x - 1 = 3y                   .....equation 1.

4x + y = 95              .......equation 2.

Making x the subject of formula in equation 1, we have:

x = 3y + 1      .......equation 3.

Substituting equation 3 into equation 2, we have:

4(3y + 1) + y = 95

12y + 4 + y = 95

13y = 95 - 4

13y = 91

y = 91/13

y = 7.

For the value of x, we have:

x = 3y + 1

x = 3(7) + 1

x = 21 + 1

x =22.

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Answer:

1/3

3/10

6/8 or 3/4

Step-by-step explanation:

The probabilities of the condition are 0.3333, 0.30, and 0.75.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Then the probability that a student prefers comedy, given that the student is in 10th grade, will be

Total event = 9

Favorable event = 3

Then the probability will be

P = 3 / 9

P = 0.3333

Then the probability that a student prefers comedy, given that the student is in 12th grade, will be

Total event = 10

Favorable event = 3

Then the probability will be

P = 3 / 10

P = 0.30

Then the probability that a student does not prefer action, given that the student is in 9th grade will be

Total event = 8

Favorable event = 6

Then the probability will be

P = 6 / 8

P = 0.75

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1] Answer: y = -[tex]\frac{1}{2}[/tex]x + 3

Step-by-step explanation:

➜ This line is going down from the top left to the bottom right, so it will have a negative slope.

➜ Using rise over run, we get a slope of -2/4. This simplifies to -1/2.

➜ The line intercepts the y-axis at 3.

2] Answer: y = 3x

Step-by-step explanation:

➜ This line is going down from the bottom left to the top right, so it will have a positive slope.

➜ Using rise over run, we get a slope of 3/1. This simplifies to 3.

➜ The line intercepts the y-axis at 0.

3] Answer: y = x - 4

Step-by-step explanation:

➜ This line is going down from the top left to the bottom right, so it will have a negative slope.

➜ Using rise over run, we get a slope of 2/2. This simplifies to 1.

➜ The line intercepts the y-axis at -4.

The correct answer in the number line is 2 and 0.888 .

A picture of numbers on a straight line is referred to as a number line in mathematics. Across the length of a number line, the numbers are arranged in a sequential manner at equal intervals. It is frequently seen horizontally and can extend indefinitely in any direction.

The addition, subtraction, division, and times table problems can all be illustrated with a number line. You can better comprehend the idea of negative numbers by using the number line.

The addition, subtraction, division, and times table problems can all be illustrated with a number line. You can better comprehend the idea of negative numbers by using the number line.

1. 9/2 in 2

2.4/9 by 2 is = 4/4.5 = 0.888 .

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The amount of flour needed for soft pretzel is c = 1/8 and the amount of flour needed for the loaf of bread is b = 3.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given system of equations,

b = 24 c and

[tex]\frac{1}{4}[/tex] b + 4c = [tex]\frac{5}{4}[/tex]

Substitute b = 24 c in the second equation.

[tex]\frac{1}{4}[/tex] (24 c) + 4c = [tex]\frac{5}{4}[/tex]

6c + 4c = [tex]\frac{5}{4}[/tex]

10 c = [tex]\frac{5}{4}[/tex]

c = [tex]\frac{5}{4}[/tex] × [tex]\frac{1}{10}[/tex] = [tex]\frac{1}{8}[/tex]

b = 24c = 24 / 8 = 3

Hence c = 1/8 and b = 3 in cups.

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Answer: 5. 2x+8  6. 5(x-9)   7. -3x+-21

Step-by-step explanation: Multiply the number outside the parenthesis by everything inside it

Answer:

  1400

Step-by-step explanation:

You want to know the number of customers in April if the number in May was 10% lower. That number was 140 fewer.

The problem statement is telling us ...

  April - (10% × April) = April - 140

  10% × April = 140 . . . . . . . . subtract April, multiply by -1

  April = 140/10% = 1400 . . . . divide by 10%

The number of customer visits in April was 1400.

__

Additional comment

The 1400 customers in April fell by 140 to 1260 in may. That's 10% fewer than in April.

<95141404393>

Answer:

[tex]6\frac{11}{15}[/tex]

Step-by-step explanation:

[tex]2\frac{1}{3}[/tex] equals to [tex]\frac{7}{3}[/tex]

[tex]\frac{11}{5}+\frac{11}{5}=\frac{22}{5}[/tex]

but the denominator is not the same in [tex]\frac{7}{3}[/tex] and [tex]\frac{22}{5}[/tex]. So you would need to find the LCM for 3 and 5. The LCM for 3 and 5 is 15.

[tex]\frac{7}{3}*\frac{5}{5} =\frac{35}{15}[/tex]

[tex]\frac{22}{5}*\frac{3}{3} =\frac{66}{15}[/tex]

[tex]\frac{35}{15} +\frac{66}{15} =\frac{101}{15}[/tex]

[tex]\frac{101}{15} =6\frac{11}{15}[/tex]

The value of x for the equation 4(5x - 4) = 64( 2x + 12) is x = -7.25

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

4(5x - 4) = 64(2x + 12)

20x - 16 = 128x + 768

20x - 128x = 768 + 16

-108x = 784

x = -7.25

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Answer:

The answer is 10√2.

Step-by-step explanation:

Answer:

3.73 miles per hour

Step-by-step explanation:

12 Kilometers is 7.46 miles.

7.46/2 = 3.73 Miles per hour

Answer:

270/1

Step-by-step explanation:

Here is 90 divided by 1/3 displayed mathematically in colors:

90 ÷ 1/3

The numbers in 90 divided by 1/3 are labeled below:

90 = whole number

1 = numerator

3 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

90x3/1 = 270/1

Answer: 270/1

Step-by-step explanation:

90/1*1/3 you have to do the reciprocal so it turns to 90/1*3/1= 270/1