If $300 is invested at an interest rate of 2.5% per year, find the amount of the investment at the end of 10 years for the
following compounding methods. (Round your answers to the nearest cent.)
(a) Annually
$
(b) Semiannually
$
(c) Quarterly
$
(d) Continuously

The slope of the line that passes through (2,4) , (9,10) is 6/7

From the question, the points are given as

(2,4) , (9,10)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (2,4) and (9,10)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (2,4) and (9,10)

Substitute the known values in the above equation

So, we have the following equation

Slope = (10 - 4)/(9 - 2)

Evaluate

Slope = 6/7

Hence, the slope of the line is 6/7

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Check the picture below.

\((5x)+(5x)+(4x+3)(4x+3)=132\implies 18x+6=132\implies 18x=126 \\\\\\ x=\cfrac{126}{18}\implies x=7\hspace{9em}\underset{RS }{\stackrel{ 5(7) }{\text{\LARGE 35}}}\)

For each variable, the possible values are:

a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

c) U = {0, 1, 2, 3, 4, 5, 6}

d) Z = {0, 1, 2}

Item a:

In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:

T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Item b:

In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:

X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

Item c:

The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.

U = {0, 1, 2, 3, 4, 5, 6}

Item d:

Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.

Z = {0, 1, 2}

The question is incomplete. The complete question is:

"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)

a. T = the total number of pumps in use

b. X = the difference between the numbers in use at stations 1 and 2.

c. U = the maximum number of pumps in use at either station

d. Z = the number of stations having exactly two pumps in use"

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The number that is illustrated based on the information about the fraction is -10.

It should be noted that in mathematics, a fraction is expressed as a quotient of a numerical. The numerator is divided by the denominator.

The number when n is multiplied by a power of 10 will be n^-10. It should be noted that this will then make a fraction of 1/n^10.

Therefore, the number that is illustrated based on the information about the fraction is -10.

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The probability that she does not choose a Stephen king novel is 12/17.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

Given,

1) total books no shelf = 17

Novel of Stephen king = 5

The probability of stephen king = 5/17

The probability of not choosing Stephen novel = 1-5/17

= (17-5)/17

=12/17

2) total number of executives = 11

Number of men = 5

Number of women = 6

probability of a man = 5/11

Probability of a woman = 6/11

Given, one woman and 3 men are selected

therefore, using combination.

Total combinations = n! / (r! x (n - r)!)

n = 4

r = 3

Therefore, probability = n! / (r! x (n - r)!)\((5/11)^{1} (6/11)^{3}\)

=4!/3!(1!)(5/11)^{1} (6/11)^{3}

=4(5/11)(216/1331)

=4320/14641

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Answer:

= 1296x √ xy

Step-by-step explanation:

Apply exponent rule: a^b . a^c = a^b + c    3 . 3 = 3^ 1 + 1

= x . 3^1+1 √648x . 4y . 8

Add the numbers: 1 + 1 = 2

= x . 3^2 √648x . 4y . 8

= 3^2 . 144x √ xy

Refine

= 1296x √ xy

It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.

In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.

Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.

So, it is unknown if any polynomial-time algorithms will ever be developed for them.

By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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Answer:

DFC

Step-by-step explanation:

same angle just flipped

if you are trying to work out -3/4 - (-1/4 - 1/2) then the answer is 0

Answer:

C

Step-by-step explanation:

To form a proportion, you need two equal ratios.

Divide the numerator by the denominator of all fractions.

Any two fractions that are equal are a proportion.

A.

4/9 = 0.4444...

9/4 = 2.25

Fractions are not equal. Not a proportion.

B.

4/10 = 0.4

10/25 = 0.4

Fractions are equal. Proportion

C.

4/11 = 0.363636...

6/13 = 0.46153846...

Fractions are not equal. Not a proportion.

D.

I can't read the fractions, but do the same I did above.

Divide each numerator by the denominator and compare the decimals. If they are equal its a proportion. If theya re not equal, it is not a proportion.

Answer: 7.2

The 2 in the number 7.32 is in the tenths place.

We must move it to the hundredths place, 1 step forward.

You get a number of 7.2. The answer can be 7.2.

Hope this helps!

Use This Since You provided no context:

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating the gradient) with the concept of integrating a function (calculating the area under the curve). ... This implies the existence of antiderivatives for continuous functions.

When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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Step-by-step explanation:

x⁴(4x+1)

4x⁵+x⁴

degree is 5

The probability of Event A is 1/360 and the probability of Event B is 1/15.

For Event A, we can calculate the probability by considering the order in which the acts are scheduled.

There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.

Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.

Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.

Therefore, the total number of possible ways to schedule all 6 acts is:

6 x 5 x 4 x 3 x 2 x 1 = 720

Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.

There are 2 remaining acts, so there are 2 possible choices for the fifth act.

Only one act remains for the last slot.

Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:

1 x 1 x 1 x 1 x 2 x 1 = 2

Thus, the probability of Event A is:

P(A) = 2/720 = 1/360

For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.

There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.

Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.

Therefore, the total number of possible ways to schedule the first four acts is:

4 x 3 x 2 x 1 = 24

Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.

Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:

24 x 2 = 48

Thus, the probability of Event B is:

P(B) = 48/720 = 1/15

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Answer:

1. 90

2. -12 +5

3. 83

Step-by-step explanation:

90 -12 + 5 = 83

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

400,000

Step-by-step explanation:

446 is the closest to 400 so 400,000

pls mark brainliest

Answer:

400,000 is the correct answer

Step-by-step explanation:

just round the 4.

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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The coordinates of the point of intersection of its mediators are (8/3,8/3).

As per the shown graph,

The coordinates of the vertices of the triangle are enclosed by the lines y = 3x, y = 1/3x, and x + y = 8 where these lines intersect.

The first vertex of the triangle is (0,0).

The second vertex of the triangle is (2,6).

And, the third vertex of the triangle is (6,2).

Use the following formula for the coordinates of the centroid:

\((centroid_x, centroid_y) = ((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)\)

Substituting in our values for (0,0), (2,6), and (6,2), we get:

(centroid_x, centroid_y) = ((0 + 2 + 6)/3, (0 + 6 + 2)/3) = (8/3,8/3)

Therefore, the coordinates of the point of intersection of its mediators are (8/3,8/3).

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Answer:

Step-by-step explanation:

Answer:

Given:

Today,  he studies 15 minutes math and 75 minutes science

and from now on, 50 minutes math and 30 minutes science

Step-by-step explanation:

so if he studies for 1 day total time for math and  science will be

math=15+50            science=75+30

       =65 minutes                =105 minutes

2nd day,

math=65+50           science=105+30

       =115 minutes               =135 minutes

3rd day,

math=115+50         science=135+30

       =165 minutes             =165 minutes

So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.

In this exercise we have to use interpretation skills to calculate the total time that studied the two subjects:  

\(165 \ both \ subjects\)

Today,  he studies 15 minutes math and 75 minutes science and from now on, 50 minutes math and 30 minutes science. So if he studies for 1 day total time for math and  science will be:

2nd day:  

3rd day:  

So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.

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Answer:

D. All of this information is needed to solve the problem

Thank you

Divide 2021 by 19:

2021/19 = 106.3684 = 106 * 19 + 7

Now calculate the remainder of 7^2021

7^1 = 7

7^2 = 49 = 2*19 + 11

7^3 = 343 = 18*19 + 1

7^4 = 2394* 19 + 7

The pattern repeats 7, 11 , 1

So for every time the exponent is increased by 10, the remainder is is the same. ( so a starting value of 1 would have a remainder of 7.

This means the remainder of 2021^2021/19 would be 7

Answer:

give the last guy brainliest. he's earned it UwU