work out the size of angle x 24

After 35 years, Anthony's account is going to be worth $34193.12

The formula for the compound interest is given as

[tex]A = P(1 + r)^t[/tex]

Where we have the principal = 3000

the rate of interest = 7.2%

The period of time = 35 years

We have to input these values in the formula above so that we would have

A = 3000 ( 1 + 0.072)³⁵

A = 3000 x 11.398

= $34193.12

Hence we would have that after the period of 35 years, the account would be worth $34193.12

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Answer: n is greater than m

Step-by-step explanation:

if m=-1/2 then that means its -.50 and n=-1/3 meaning its -.333(...)

so n is greater (remember its negative so higher numbers are actually lesser in value)

Hope this helped... :)

The sentence which represents the algebraic equation is; "Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".

It follows from the task content that the sentence which represents the equation given be determined.

First, the expression 3 + 5n can be interpreted as; the sum of 3 and 5 times a number, n.

Also, the expression "an" can be interpreted as the product of n and another number a.

Therefore, the whole equation; 2(3+5n)=an can be interpreted as;

"Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".

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Answer:

162.4$

Step-by-step explanation:

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Answer:

[tex]\textsf{a.} \quad x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]

b.  y = -6

c.  Minimum point at (1, -7).

d.  Domain:  (-∞, ∞)

e.  Range:  [-7, ∞)

f.  See attachment.

Step-by-step explanation:

Given function:

[tex]\text{f}(x)=x^2-2x-6[/tex]

As per the question, use a graphing calculator to graph the given function.

The x-intercept(s) are the points at which the curve crosses the x-axis.

The y-intercept is the point at which the curve crosses the y-axis.

From inspection of the graph:

The domain of a function is the set of all possible input values (x-values).

The domain of the given function is unrestricted.

The range of a function is the set of all possible output values (y-values).

As the function has a minimum point at y = -7, the range is restricted.

Graph label the axes using a scale of 1 (see attachment).

The statement that can represent P = Q is If x = 5, then 2x = 10. That is option B.

An equivalent value is defined as the value or an equation that can be used to replace another value in an expression.

From the question, the expression P--> Q means that P = Q.

The statement that shows that a value is equivalent to the other;

x = 5, then 2x = 10

That is, X = 5 can also be written as follows;

2x = 10.

This is because, when 2x = 10 is simplified, X = 10/2 =5

Therefore, P =Q because both shears the same value and can be said to be equivalents.

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Answer:0.8

Step-by-step explanation:

0.8 can be used for 1 student and 40. :)

The values are;

i, For 1 student, it would take = 1 1/5 days

ii. For 40 students, 48 days

First, we need to know that proportion is an equation made equal to another.

From the information given, we have that;

50 students in a hostel had provisions for 60 days.

This is represented as;

50 students = 60 days

Then, we get that;

i, If 50 students = 60 days

1 students = x days

cross multiply the values

x = 60/50

x = 1 1/5 days

ii.  If 50 students = 60 days

40 students = x days

x = 60(40)/50

divide the values

x = 48 days

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By taking some products we will see that the total number of cupcakes ordered is 6 cupcakes.

Here we want to see how many cupcakes this person is ordering. We know that orders 9 halves of a cupcake for the family, plus a quarter of a cupcake for each of the 6 friends.

The total number of cupcakes is given by the order for the family plus the order for the friends.

The order for the familiy is given by the product:

9*(1/2) = 9/2 = 4.5

That is 9 times 1/2 of a cupcake, so for the family the person orders 4.5 cupcakes.

For the friends the person orders 6 times 1/4 of a cupcake, so now we have the product:

6*(1/4) = 6/4 = 3/2 = 1.5

If we add these two numbers we get the total number of cupcakes:

4.5 + 1.5 = 6

The person ordered 6 cupcakes.

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Answer: resource - trust me bro

Step-by-step explanation: Let x = the smaller numberLet 2x + 10 = the larger numberx(2x + 10) = 1002x^2 + 10x - 100 = 0Divide both sides of the equation by 2.x^2 + 5x - 50 = 0(x - 5)(x + 10) = 0x - 5 = 0 or x + 10 = 0x = 5 or x = -10, not a positive number2x + 10 = 2(5) + 10 = 20

Answer:

1). True

2). x = 16.4 m^2

3). A = 24, h = 4

4). A = 18.39

5). 162

Step-by-step explanation:

I took this quiz on K12 and got everything correct! Brainliest welcome! :)

The margin of error tells you how many percentage points your results differ from the true population value.

The margin of error is a close guess at a given level of probability about the confidence interval. It is denoted as a tiny percentage that is allowed for in the event of an error.

The amount of uncertainty associated with a survey result is referred to as the margin of error. It indicates how confident you can be in the outcome's accuracy. A smaller margin of error indicates that your survey is more precise. A confidence level is the probability that a survey will yield the same results if repeated.

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Answer:

Step-by-step explanation:

87

99

128

The expression to represent the width of the desk is (x-3) inches where x is the length of the desk.

According to the question,

We have the following information:

The width of a desk is 3 inches less than its length.

Now, let's take the length of the desk to be x inches.

Now, we will convert the given word sentence using this variable into an algebraic expression.

Note that the words less than means that the number has to be subtracted from the length of the desk.

So, we have the following expression:

Width of the desk = (x-3) inches

Hence, the expression to represent the width of the desk is (x-3) inches where x is the length of the desk.

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The equation of the parabola whose focus is at (3, 0) and directrix at x = - 3 is y² = 12 · x. (Correct choice: D)

In this problem we need to determine the equation of a parabola based on the information of the focus and the directrix. The vertex form of the parabola is described below:

4 · p · (x - h) = (y - k)²

Where p is the distance from the vertex to the focus. The coordinates of the vertex is the midpoint of the line segment of the least distance between the directrix and the focus.

First, determine the coordinates of the vertex:

(h, k) = 0.5 · (- 3, 0) + 0.5 · (3, 0)

(h, k) = (0, 0)

Second, calculate the distance from the vertex to the focus:

p = 3 - 0

p = 3

Third, write the vertex form of the parabola:

y² = 12 · x

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Answer:

a. 17 - 2 × 3 - 8 = 3

b. 33 ÷ 3 - 2 × 5 = 1

Step-by-step explanation:

a. 17 - 2 × 3 - 8 = 3

b. 33 ÷ 3 - 2 × 5 = 1

The largest multiple of 30 that is less than the number, 520, can be found to be 510.

To find the largest multiple that 30 has, which is also less than 520, first find the number of times that 30 can go into 520:

= 520 / 30

= 17.333

Then use this number to find the largest multiple below 520 by rounding 17.33 downwards to 17.

The multiple of 30 that is the largest and below 520 is then:

= 30 x Rounded down result of division of 520

= 30 x 17

= 510

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Answer:

x = 15

Step-by-step explanation:

A segment joining the midpoints of two sides of a triangle is half the length of the third side , then

x + 3 = [tex]\frac{1}{2}[/tex] × 36 = 18 ( subtract 3 from both sides )

x = 15

Answer:

Slope = 0.75

Step-by-step explanation:

Slope Formula: y2-y1/x2-x1

4-1/5-1=3/4=0.75

Answer:

Step-by-step explanation:

You want lists of the perfect squares and perfect cubes from the set {1, 36, 64, 98, 125, 216, 289, 324, 480, 512}.

A "perfect square" is the square of an integer, the value obtained by multiplying the integer by itself.

Squares of numbers 1–10 are ...

  1, 4, 9, 16, 25, 36, 49, 64, 81, 100

And from 11–20:

  121, 144, 169, 196, 225, 256, 289, 324, 361, 400

The squares on your list are 1, 36, 64, 289, 324.

A "perfect cube" is the cube of an integer, the value obtained by using the value 3 times as a factor in a product. (n³ = n×n×n)

Cubes of numbers 1–10 are ...

  1, 8, 27, 64, 125, 216, 343, 512, 729, 1000

The cubes on your list are 1, 64, 125, 216, 512.

__

Additional comment

Any integer to the 6th power will be both a perfect square and a perfect cube. The integers 1 = 1⁶, 64 = 2⁶, and 729 = 3⁶ are such numbers.

The value of the test statistic of the hypotheses is; -17.969

The test statistic is defined as a number, calculated from a statistical test, which is used to find if your data could have occurred under the null hypothesis.

We are given;

Sample size; n = 1160

Sample proportion; p^ = 88% = 0.88

Population proportion; p = 97% = 0.97

The claim is about the population proportion (p) in the hypotheses. Since we are told that fewer than 97% of adults have a cell phone, then the claim is; p < 0.97

The null hypothesis is expressed as;

H₀: p = 0.97

The alternative hypothesis is expressed as;

Hₐ: p < 0.97

The value of the test-statistic is gotten from the formula;

z = (p^ - p)/(√(p(1 - p)/n))

z = (0.88 - 0.97)/(√(0.97(1 - 0.97)/1160))

z = -17.969

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Answer:

x = 5

Step-by-step explanation:

2(x+5) =20  Distribute the 2

2(x) + 2(5) = 20

2x + 10 = 20  Subtract 10 from both sides of the equation

2x = 10  Divide both sides by 2

x = 5

Answer:

5

Step-by-step explanation:

2(x + 5) = 20 Divide both sides by 2

x + 5 = 10

x = 10 - 5

x = 5

The 95% confidence interval for the distribution of the difference of proportions, using the z-distribution, is given as follows:

(0.11, 0.146).

The first step is finding the proportion and standard error for each sample, as follows:

For the distribution of differences, the mean and the standard error are given as follows:

The z-distribution is used as we are working with proportions, hence the bounds of the interval are given as follows:

p ± zs.

The critical value for a 95% confidence interval with the z-distribution is of z = 1.96.

Hence the lower bound of the interval is:

0.128 - 1.96 x 0.0092 = 0.11.

The upper bound of the interval is:

0.128 + 1.96 x 0.0092 = 0.146.

The information regarding each sample is given by the image at the end of the answer, and the problem asks for the 95% confidence interval for the differences.

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Answer:

Account A is incorrect the interest that you would earn is $8.60, not $860.00

Step-by-step explanation:

Answer:

Using transformation rules, the transformation can also be stated by option A, that is (x, y) → (–x, –y).

------------------------------------

The first option, of (x, y) → (–x, –y), is a rotation of 180º degrees around the origin, which is the transformation made on the pentagon.

As for the other transformations:

The second option, (x, y) → (–y –x), is a reflection around the line y = -x.

The third option, of (x, y) → (x, –y), is a reflection across the x-axis.

The fourth option, of (x, y) → (–x, y), is a reflection across the y-axis.

Step-by-step explanation:

Answer: The answer is D bc i did the test before hope you have a great day:]

Step-by-step explanation:

8

x

5

−

6

x

4

+

12

x

3

The required value lies Between 6 and 7, but closer to 6. Option C is correct.

Given that,
The square root of 50 minus 10 would be plotted on a number line.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

According to the question,
= √[50-10]
= √40
= 6.32
Which is closer to 6.

Thus, the required value lies Between 6 and 7, but closer to 6. Option C is correct.

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For given equation y = ln(3 - 4 cos(x))​,

dy/dx =  4sin(x) / (3 - 4 cos(x))

In this question, we have been given an equation y = ln(3 - 4 cos(x))​

We need to differentiate y = ln(3-4cosx)​

dy/dx

= d/dx(ln(3 - 4 cos(x))​)

= 1/(3 - 4 cos(x))​ * d/dx(3 - 4cos(x))               .......(by Chain rule)

= 1/(3 - 4 cos(x))​ * [4 sin(x)]

= 4sin(x) / (3 - 4cos(x))

Therefore, for given equation y = ln(3 - 4 cos(x))​,

dy/dx =  4sin(x) / (3 - 4 cos(x))

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