If $10,000 is invested at 6% annual interest compounded yearly, what is the account balance after 4 years, assuming no additional deposits or withdrawals are made?

Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33

The difference between the basketball team's and the football team's overall maximum points is 7,440.

A game is any mental or physical activity with rules that is done for enjoyment, such as physical activities like baseball and soccer, or board games such as chess and Monopoly, or card games, or electronic games

We learn the following from the issue:

F = (1/2)B

We are aware that there is a 20-game disparity between the number of hoops victories and the number of football victories, so:

B/2 - F/2 = 20

Substituting F = (1/2)B, we get:

B/2 - (1/2)B/2 = 20

Simplifying, we get:

B/4 = 20

Multiplying both sides by 4, we get:

B = 80

Similar to how 160 football games were played (since F = (1/2)B = 40), 80 of them had scores of 30 or greater. Therefore, the maximum possible points earned by the football team is 80 x 7 = 560.

The difference between 8000 and 560 is:

8000 - 560 = 7440

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The domain value that corresponds to a range value of 4 is,

⇒ x = 1/2

Given that;

Function is,

y = 4x + 2

Since, the equation equal to the range value:

4 = 4x + 2

Then, we can solve for "x":

4 - 2 = 4x

2 = 4x

x = 1/2

Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:

y = 4x + 2

y = 4(1/2) + 2

y = 4 + 2

y = 6

Therefore, the domain value that corresponds to a range value of 4 is,

⇒  x = 1/2

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If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

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The answer you are looking for is -9/10, or -0.9.

Solution:

-1 3/10+4/10

-13/10+4/10

-9/10, or -0.9

Answer:

-0.9

Step-by-step explanation:

Answer:

  B)  15/17

Step-by-step explanation:

You want the sine of acute angle A in the right triangle shown.

The sine of the angle is the ratio ...

  Sin = Opposite/Hypotenuse

We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)

The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.

The value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.

Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.

The sine of angle A is 15/17.

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Answer:

The answer is y = -1/3x + 5 !

Step-by-step explanation:

If you observe the line, the y-intercept is 5, from the point in the graph (0,5). From that point, we can see that the rise over run is -1/3. Thus, y = -1/3x + 5.

Answer:

no u

Step-by-step explanation: no no no no no no no no no

Answer:

3

Step-by-step explanation:

=4-1=3f(N)

Answer:

Finding b:

57+b = 180     (linear pair)

b = 123

Finding c:

c = 123          (vertical angles are always congruent

Answeer:

X=2

Step-by-step explanation:

You divide the 12 by the number who has a variable.

The zero's of the polynomial p(x) = x(x² - 9) are -3, 0 and 3.

The zero's of a polynomial p(x) are all the x-values that make the polynomial equal to zero.

In other words, zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

Therefore, let's find the zero's of the polynomial .

p(x) = x(x² - 9)

p(x) = x³ - 9x

0 = x³ - 9x

x³ = 9x

x² = 9

x = √9

Therefore, x = -3 or 3

x  = 0

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Answer: 3 11/15  please mark brainliest If I helped you.

the question is kayar and 12 by 5 miles on Monday and 21 by three miles on Tuesday what is the total distance in miles kayuren during those two days first phone on Monday how much run that was 12 by 5 miles on Tuesday Shirin to 1 by 3 minus now this whole part and fractional part are written separately so this can be converted into a mixed fraction like when a number is of the form of p by see that is one whole number and fraction then it is written as a + b by c so we can write Monday that was 12 by 5 miles that is

12 by 1 + 2 by 5 that will be 5 will be LCM of 5 + 2 will be 7 by 5 MI and Tuesday it will be 21 by 3 that is 2 + 1 by 3 3 will be the LCM of 3 and 22 will be 6 plus one that is 7 by 3 minus in question is asked that what was the total distance kayar and thus during today's so Monday plus Tuesday will be the total total 27 by 5 + 7 by 3 that will be equal to LCM will be 15 this will be X 307 into 3 + 7 and 25 that

is 21 + 45 upon 15 that will be equal to 56 upon 15 Now since we have to give answer in mixed fraction in whole number and fraction this a bi bi can be divided into a whole number and fraction part when divided by be the remainder is remainder is written here b is written here and question is written here so 56 by 15 can be written as 15 and 23 is 45 three years question remainder will be 11:00 that is 56 - 45 and below will be the denominator will be 15 so this is our answer and the correct

Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

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:

Graph attached

Step-by-step explanation:

Counterclockwise rule: (x, y) to (-y, x)

Hope this helps!

Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

The value of f(-5) when we solve the function f(x) is -5.

A function is a statement, tenet, or rule that creates a correlation between two variables. In mathematics, functions are used often and are required to build complicated connections.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The function can be solved as:

    \(f(x) = -(x+8)^{2} +4\)

           \(=-(-5+8)^{2}+4\)

           \(=-(3)^{2}+4\)

           \(=-9+4\)

           \(=-5\)

Hence, f(-5) = -5

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This is not the graph of a function because there are two different values of \(y\( when \(x=2\).

Answer:

x = 120°

Step-by-step explanation:

Since there are parallel lines, we have congruent alternate interior angles.

\(20 + x + 40 = 180\)

\(60 + x = 180\)

\(x = 120\)

Answer:

X and Y x-axis are ongoing

Step-by-step explanation:

Answer: B

Step-by-step explanation:

'Product' means to multiply, in this case, we are multiplying 50 and n.

Answer:

Top left.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. Using Cramer's Rule:The system of equations can be written in matrix form as:Copy code| 7 -8 5 | | x | | 5 | | -4 5 -3 | x | y | = |-3 | | 1 -1 1 | | z | | 0 |The determinant of the coefficients matrix is:scssCopy code| 7 -8  5 | | -4  5 -3 | | 1 -1  1 | = 7(5)(1) + (-8)(-3)(1) + 5(-4)(-1) - 1(-3)(7) - 1(5)(-8) - (-1)(-3)(5) = 70To find x, we replace the x-coefficients with the constants and solve for x:scssCopy code| 5 -8  5 | | -3  5 -3 | | 0 -1  1 | x = | 7 -8  5 | | -4  5 -3 | | 1 -1  1 | = (5(5)(1) + (-8)(-3)(1) + 5(-3)(-1) - 1(-3)(5) - 1(5)(-8) - 0(-1)(-4))/70 = 9/14To find y, we replace the y-coefficients with the constants and solve for y:scssCopy code| 7  5  5 | | -4 -3 -3 | | 1  0  1 | y = | 7 -8  5 | | -4  5 -3 | | 1 -1  1 | = (7(-3)(1) + (-8)(-3)(1) + 5(0)(-1) - 1(5)(-3) - 0(-8)(-4) - 1(-1)(-4))/70 = -1/14To find z, we replace the z-coefficients with the constants and solve for z:scssCopy code| 7 -8  5 | | -4  5 -3 | | 5 -1  0 | z = | 7 -8  5 | | -4  5 -3 | | 1 -1  1 | = (7(5)(0) + (-8)(-3)(1) + 5(-1)(-1) - (-1)(5)(5) - 1(5)(-8) - 0(-1)(-4))/70 = -12/35Therefore, the solution to the system of equations is x = 9/14, y = -1/14, z = -12/35.b. Using Inverse Method:The system of equations can be written in matrix form as:Copy code| 7 -8 5 | | x | | 5 | | -4 5 -3 | x | y | = |-3 | | 1 -1 1 | | z | | 0 |The coefficients matrix is:Copy code| 7 -8 5 | | -4 5 -3 | | 1 -1 1