A bank account earns a fixed rate of interest compounded quarterly (every 3 month)

The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The length of the longer leg of a 30-60-90 triangle is 18.

Then the length of the short leg will be

tan 30° = x / 18

          x = 10.4

Then the length of the hypotenuse will be

sin 30° = 10.4 / h

        h = 20.8

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Answer:

3+2x

Step-by-step explanation:

Since you've started with 3 you add the 2 each time up the output.

Answer:

2= 28+42=70

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

your answer is 105.

Answer:

Forgot to turn the 7% into a 0.7... if you dont do that, then it will come out larger then it was supposed to be :)

Answer:

Sample response: Juanita did not change the 7% to the decimal 0.07. When she completes the problem as written, the interest will be greater than the money she borrowed.

Step-by-step explanation:

This is a sample response, be sure to change the wording up a bit.

Answer:

d = 10

Step-by-step explanation:

A = πr²

81 /π = r²

r² ≈ 25

r = 5

d = 5(2) or 10

Answer:

[tex]\bar x = 34.7[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Age} & {Fatalities} & {11 - 20} & {340} & {21-30} & {1527} & {31-40} & {866} & {41-50} & {693} & {51-60} & {423} & {61-70} & {123} \ \end{array}[/tex]

Required

Calculate the mean

The given data is a grouped data. So, we need to calculate the class mid -point first.

This is done by calculating the average of the class intervals.

So, we have:

[tex]\begin{array}{ccc}{Age} & {Fatalities} & {x} & {11 - 20} & {340} & {15.5} & {21-30} & {1527} &{25.5}& {31-40} & {866} & {35.5} & {41-50} & {693} & {45.5} & {51-60} & {423} & {55.5} & {61-70} & {123} & {65.5}\ \end{array}[/tex]

For 11 - 20, the midpoint is: [tex]x =\frac{1}{2}(11+20) = \frac{1}{2}*31=15.5[/tex]

For 21 - 30, the midpoint is: [tex]x =\frac{1}{2}(21+30) = \frac{1}{2}*51=25.5[/tex]

.....

For 61 - 70, the midpoint is: [tex]x =\frac{1}{2}(61+70) = \frac{1}{2}*131=65.5[/tex]

The mean is then calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{(15.5 * 340) + (25.5 * 1527) + (35.5 * 866) + (45.5 * 693) + (55.5 * 423) + (65.5 * 123)}{340 + 1527 + 866 + 693 + 423 + 123}[/tex]

[tex]\bar x = \frac{138016}{3972}[/tex]

[tex]\bar x = 34.7472306143[/tex]

[tex]\bar x = 34.7[/tex] --- approximated

The mean is approximately 34.7

Answer:

slope: 3/1.5

Step-by-step explanation:

You go up 3 and over 1 1/2 like its half then your gonna write 3/1.5

Answer:

Aaron completed the race in 9 days.  Mitch finished in the race in 8 days 20  hours. Dallas finished in 8 days 18 hours

Step-by-step explanation:

1. Dallas won the race. 8 days 18 hours

2. Mitch came in second. 2 days 5 hours x 4= 8 days 20

3. Aaron was 3rd. 4 days 12 hours x 2= 9 days

Answer:

64.8°

Step-by-step explanation:

in the given ratio 9:13:3 the required middle angle is presented as 9;

1) if the sum of the angles of triangle is 180, then the given ratio can be re-written as

9x+13x+3x=180, ⇒ x=36/5;

2) if x=36/5, then the required measure of the middle angle can be calculated:

m(∠MIDDLE)=9*36/5=64.8°.

Answer:

What is the total surface area of a cube with an edge on 4 1/2 feet... 121.5 feet

Step-by-step explanation:

Surface area = 6 × 4 1/2 × 4 1/2

Surface area = 121.5

Answer:

Step-by-step explanation:

If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is 1 2. This is also the probability of flipping heads on a coin. And so we have: 1 2 × 1 2 × 1 2 = 1 8. If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. hope this helped\

Answer:

32

Step-by-step explanation:

The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Answer:

26;40  simplified is 13/20

Step-by-step explanation:

Answer:

43.50 or 43.5

Step-by-step explanation:

Answer:

Approximately normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

The shape of the sampling distribution of the sample mean distance is approximately normal

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that The distances this type of ball travels in this test are normally distributed with a mean of 195 meters and a standard deviation of 5

meters.

Suppose that quality control experts regularly collect random samples of 25 distance measurements and calculate the sample mean distance in each sample

When a population is normally distributed, the sampling distribution of the sample mean x will also be normal regardless of sample size.

Since the distribution of distances is normal, the sampling distribution of the sample mean distance will also be normal.

Hence, the shape of the sampling distribution of the sample mean distance is approximately normal

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Answer:

6 cards

Step-by-step explanation:

8 × 6 = 48

You can't have 1/4 of a baseball card. So the answer is 6 cards.

Answer:

The Answer is A or the first one, NOT C. C is wrong.

Step-by-step explanation:

The transformations that map ΔABC to ΔA"B"C" will be reflection cross x-axis and translation of (x - 6, y - 2). Then the correct option is B.

A point, line, or numerical figure can be changed over in one of four ways, and each affects the item's design as well as position. Picture, after interpretation, alludes to the article's definitive association and situation. Not long before the alludes to the material's underlying condition.

The interpretation doesn't change the shape and size of the calculation. However, changes the area.

The reflection doesn't change the shape and size of the math. However, flipped the picture.

The changes that map ΔABC to ΔA"B"C" will be reflection cross x-pivot and interpretation of (x - 6, y - 2). Then, at that point, the right choice is B.

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The complete question is given below.

Answer:

¼

Step-by-step explanation:

Solution,

Total quantity=½ gallon

Each friends quantity=½/2

=¼ gallon

Answer:

11bus fuller last bus 10

Step-by-step explanation:

25×11=275

10

Answer:  x=3.40

Step-by-step explanation:  apply exponent rule    xln(3)= ln(42)

                                             solve xln(3)=ln(42): x=ln(42)/ln(3)   (fraction form)

                                              (decimal) 3.40217...   round it to the nearest hundreth= 3.40

I do not know if this is correct.

Answer:

c and d

Step-by-step explanation:

Step-by-step explanation:

step 1. 6x - 30 = 2(x + 33)

step 2. 6x - 30 = 2x + 66

step 3. 4x = 96

step 4. x = 24.

step 5. mNMO = x + 33 = 24 + 33 = 57°.

Answer:

20

Step-by-step explanation:

your welcome!!

Step-by-step explanation:

[tex]y = a {b}^{x} \\ approximately \\ y=25.9*1.278^x[/tex]

Answer:

those criteria define a square or a rhombus

Step-by-step explanation:

if there was another fact about the angle measures, for example if it said all my angles are equal then it would be a square, not a rhombus

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex]    [tex]\frac{y_1+y_2}{2} =Ymp[/tex]

[tex]\frac{6+x_2}{2} = 1[/tex]          [tex]\frac{-2+y_2}{2} =2[/tex]    

multiply each by 2  to simplify

[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex]    [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify

6+[tex]x_{2}[/tex] = 2                          -2+[tex]y_{2}[/tex] = 4  =  

-6       -6                          +2       +2

   [tex]x_{2}[/tex] = -4                               [tex]y_{2}[/tex] =  6

To check use the Midpoint formula

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