How much money must be deposited to earn $219 in simple interest in 8years at an annual rate of 6.2%? is the answer 108.62?

Answer:

C = 6π in

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

the area (A) of a circle is calculated as

A = πr²

given A = 9π , then

πr² = 9π ( divide both sides by π )

r² = 9 ( take square root of both sides )

r = \(\sqrt{9}\) = 3

then

C = 2π × 3 = 6π in

The circumference of the circle is C = 6π inches

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circumference of the circle be C

Now , the area of the circle be A = 9π inches²

where area of the circle = πr²

So , r² = 9

Taking square roots , we get

r = 3 inches

Now , the circumference C = 2πr

C = 6π inches

Hence , the circumference is 6π inches

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a+1 = 3

(a - 1)^2

\( {a}^{2} - 2.a.b + {b}^{2} \\ \\ a - 2a + 1 \\ \\ 1 + 1 = 2\)

9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Answer:

welcome to brainly thanks for adding your first question i hope you enjoy it here at brainly

Step-by-step explanation:

D. Both the people of the U.S. and the people you called are samples​

because if you choose a population and residents they would problaly give you the same things and others from the sample will give you different answers so d is your best bet

hope this helps enjoy brainly

Answer:

1) y = 2(x+3)^2 -4

2) x+6/x-4

3) 2x^2 + 6x +20 = 0

Step-by-step explanation:

Given:

The two functions are

\(f(x)=3x+1\)

\(g(x)=x^2-6\)

To find:

The function (f+g)(x).

Solution:

We know that,

\((f+g)(x)=f(x)+g(x)\)

Putting the values of given functions, we  get

\((f+g)(x)=3x+1+x^2-6\)

\((f+g)(x)=x^2+3x+(1-6)\)

\((f+g)(x)=x^2+3x-5\)

Therefore, the required function is \((f+g)(x)=x^2+3x-5\).

Simplifying the expression further, we get: \(sin(x)tan(x) = (1/cos(x)) - cos(x)\)

Recall that the reciprocal identity for tangent is:

\(tan(x) = sin(x) / cos(x)\)

Also, the Pythagorean identity is:

\(sin^2(x) + cos^2(x) = 1\)

Multiplying both sides of the equation by sin(x), we get:

\(sin^3(x) + sin(x)cos^2(x) = sin(x)\)

Dividing both sides by \(cos^2(x)\), we get:

\(sin(x)/cos^2(x) + sin^3(x)/cos^2(x) = sin(x)/cos^2(x)\)

Using the tangent identity, we can substitute sin(x)/cos(x) for tan(x):

\(sin(x)tan(x) = sin(x) / cos(x) * sin(x) = sin^2(x) / cos(x)\)

Now, substituting \(1 - cos^2(x) for sin^2(x\)) in the above expression, we get:

\(sin(x)tan(x) = (1 - cos^2(x)) / cos(x)\)

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Answer: The probability of choosing an ace or a club is 16.

Step-by-step explanation:

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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Answer: The second image, the second image where b' is right above b is the correct answer for this, hope this helped!

<!> Brainliest is appreciated! <!>

Step-by-step explanation:

Answer

i woukldnt know

Step-by-step explanation:

ahahahahahahahahahahahahhahahahahaha

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

(goh) (0) = 4

Step-by-step explanation:

Given that,

g(x) = 2x

h(x) = x² + 4

We need to find the value of (goh) (0).

Firstly we find (goh),

(goh) = g(h(x))

=g(x²+4)

(goh) (0) = 0²+4

=4

Hence, the required answer is 4.

The missing value 'x' in the two-way relative frequency table is 0.36.

To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.

Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.

First, let's calculate the relative frequencies for each category:

Likes hockey: The total count in this row is 12 + 18 = 30.

Relative frequency of "Likes hockey" = 12/30 = 0.4

Relative frequency of "Doesn't like hockey" = 18/30 = 0.6

Likes baseball: The total count in this column is 12 + 14 = 26.

Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615

Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385

To ensure that the relative frequencies add up to 1, we can set up the following equations:

0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)

0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)

Simplifying the equations, we have:

x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36

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Answer:

\(l = \boxed{167.}\\w=\boxed{40.}\)

Step-by-step explanation:

Since the perimeter is 414 meters, half of the perimeter is 207 meters. We can write the following equation and solve for h.

\(w + l = 207\\w + (4w + 7) = 207\\5w +7 = 207\\5w = 200\\w = \boxed{40.}\)

Here, we substituted 4w + 7 in place of l as the problem tells us that the length of the pool is 7 meters more than 4 times the width. Solving for the width gave us 40 meters.

Using this information, we can determine that the length of the swimming pool is:

\(4(40) + 7 = 160 + 7 = 167.\)

To double-check that this is correct, we can add twice the length and twice the width to see if it equals the given perimeter:

\(167 + 167 + 40 + 40 = 414.\)

Therefore, your length and width of this swimming pool are:

\(l = \boxed{167.}\\w=\boxed{40.}\)

Answer:

If you round it the 30. If not round 29.7

Step-by-step explanation:

Branliest plz :)

Step-by-step explanation:

3 is the answer

-7x+12x-6=9

when -6 goes to other side it becomes +6

-7x+12x=9+6

5x=15

when 5x which means 5 multiplied to x . When 5 goes other side it becomes division

x=15÷5=3

x=3

Answer:

x < 2 is the answer oh and do the 3rd line option

The table represents a linear function because there is a constant rate of change in the input and output values.

A function is a mathematical concept that associates each element in a set (called the domain) with exactly one element in another set (called the codomain). The relation between the two sets is defined by a rule, or a formula, that assigns a unique output, or image, to each input, or preimage. In mathematical notation, a function can be represented as f(x), where x is the input and f(x) is the corresponding output. The domain of a function is the set of all possible inputs and the codomain is the set of all possible outputs. The range of a function is the set of all actual outputs, which may be a proper subset of the codomain. There are many types of functions, including linear functions, quadratic functions, polynomial functions, exponential functions, logarithmic functions, and trigonometric functions. Functions can be represented graphically, using coordinate axes to display the inputs and outputs as points on a plane. Functions are a fundamental concept in mathematics and are used in many areas of science and engineering, such as physics, economics, and computer science. They play a central role in mathematical modeling, allowing us to describe and understand real-world phenomena through mathematical representations.

Here,

In a linear function, there is a constant rate of change, or slope, between the input (x) and output (y) values. This means that the difference in the y-values between any two points will be the same, as long as the difference in the x-values between those same two points is also the same.

In the table given, the difference in y-values between consecutive x-values is always 2, so the function has a constant rate of change and is linear.

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Answer:

14 hostas and 12 geraniums

The length of the hypotenuse is 12.52 yards.

Given that a right triangle, we need to find the value of the hypotenuse x,

Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.

We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.

Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.

We know that, the cosine of the angle is the ratio of the base to the hypotenuse,

So,

Cos 37° = 10 / x

x = 10 / Cos 37°

x = 12.52

Hence the length of the hypotenuse is 12.52 yards.

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Answer: 21

Step-by-step explanation: Okay but actually its 19 :)

Answer:

-5 63/100

Step-by-step explanation:

Answer:

Option B, \(-2\)

Step-by-step explanation:

Step 1:  Substitute x with 6 and solve

\(f(x) = \frac{1}{2}x - 5\)

\(f(6) = \frac{1}{2}(6)-5\)

\(f(6) = 3 - 5\)

\(f(6) = -2\)

Answer: Option B, \(-2\)

Answer: 32.14   after round off it will be 32

Step-by-step explanation:

This is how to round 32.14 to the nearest whole number. In other words, this is how to round 32.14 to the nearest integer.

32.14 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 32

Fractional Part: 14

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 32.14 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 32.14 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 1 and 1 is less than 5. Therefore, we simply remove the fractional part to get 32.14 rounded to the nearest whole number as:

32

Answer:

u didn't show any pictures so I can't help u. can u show. pictures or something

Answer: 11.70

Step-by-step explanation:

Answer:

I would say B

Step-by-step explanation:

I'm sorry, I don't have an explanation

The middle 75% of all NFL players have heights between in (A) 68.9 inches to 76.1 inches.

It is the representation of a data value in terms of distance from standard deviation from the mean. It is also called z-score.

It measures how many standard deviations the measure is from the mean. After finding the z-score, we have to look at the z-score table and then the p-value associated with this z-score, which is the percentile of X.

Given that Mean = μ = 64.4 inches

Standard Deviation = σ = 2.3 inches

We have to find the standard score for players height;

So, Let x = 75% = 0.75

Therefore the formula for z-score is:

x - mean / S.D

0.75 = x - 71.5/2.3

x = 76.10

Rounding off to nearest hundredth

z-score = 76.1

Hence, The middle 75% of all NFL players have heights between in

(A) 68.9 inches to 76.1 inches.

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