find the total amount and total interest after eight months if the interest is compounded every four months

Step-by-step explanation:

you have the formula and the numbers. just calculate !

cost of membership

y = 100 - 0.02x

a)

for x = 2600

y = 100 - 0.02×2600 = 100 - 52 = $48

b)

the reduction element of the cost of membership is the

"- 0.02x" part.

we want to refuse the membership costs by $41, so

0.02x = 41

x = 41/0.02 = $2,050

c)

the same as b)

just now the membership costs need to be reduced to 0.

so, that means we need to reduce by $100 !

0.02x = 100

x = 100/0.02 = $5,000

Answer:

for how many he thought he got right is 73.33333%

for how many he thought he got wrong is 39.130434783%

Step-by-step explanation:

We know that the length of the rectangle is 5 feet more than the width. Let x be the width of the rectangle, then its length is x+5. This can be see in the next picture

We also know that the area of the fish pond is 143 and that the area is given by

Plugging the values we have that

writting the equation in standard form we have that

We know that any quadratic equation can be solve by

using it for our equation we have

As we know the quadratic equation leads to two solutions. Nevertheless the negative solution is not right in this case, since the distances have to be positive. Then x=9.72.

Once we have the value of x we can know the width a lenght

And the perimeter is

The perimeter is 48.88 ft.

Answer:

he is more likely incorrect.

Step-by-step explanation:

Z = (ps - p0)/sqrt(p0(1-p0)/n)

ps = proportion sample

p0 = proportion null hypothesis (NCAA)

n = sample size

ps = 17 / 36/100 = 17/1 / 36/100 = 1700/36 =

= 47.22222222...%

Z = (0.47222... - 0.575)/sqrt(0.575(1 - 0.575)/36) =

= -0.10277777... /sqrt(0.244375 / 36) =

= -0.10277777... / 0.0823905... =

= -1.247446952... ≈ -1.25

p(-1.25) = 0.10565

0.10565 > 0.05

the null hypothesis is therefore likely, or at least cannot be rejected.

so, his claims are not supported, as surprising as this might feel given that the sample result itself is 10 points off the NCCA result, which feels to be a solid difference.

Answer:

Step-by-step explanation:

So 3 minus 7. 3 – 7 = -4 *just trust me on that one ;) So the difference of 3 and 7 is -4.

\(\\ \tt\hookrightarrow UW=UY\)

\(\\ \tt\hookrightarrow 2s-35=s\)

\(\\ \tt\hookrightarrow 2s-s=35\)

\(\\ \tt\hookrightarrow s=35\)

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the value of s must be 35 units so that the quadrilateral becomes a parallelogram.

12,480 es par y la suma de sus digitos da un multiplo de 3, por ello concluimos que es divisible por 6.

Para que un número sea divisible por 6 debe cumplir dos condiciones.

En este caso tenemos 12,480, que sabemos que es par.

La suma de sus digitos da:

1 + 2 + 4 + 8 + 0 = 15

15 es multiplo de 3.

Entonces este número cumple ambas condiciones, por lo que concluimos que 12,480 es divisible por 6.

Sí quieres aprender más sobre divisiones.

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Answer: 22 / 25

Step-by-step explanation:

I know this because I know everything.

Answer:

\( \frac{22}{25} \)

Step-by-step explanation:

a=16

r=3

48/16=3

144/16=3

6th term

=ar^(n-1)

= 16(3)^(6-1)

=3888

Answer: Given the ratio of boys to girls at the park is 4 to 5, then there are 4 boys for every 5 girls. If there are 45 girls at the park, then there are 4 * 45 / 5 = 36 boys at the park.

So, the answer is B) 36.

Step-by-step explanation:

The linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4

The equation of a line in slope intercept form is expressed y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (0, -4) and (-5, 0), the slope is calculated as:

Slope = y₂-y₁/x₂-x₁

Slope = 4/-5

Slope = -4/5

Determine the equation

y = -4/5x + (-4)

y = -4/5x - 4

Hence the linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4

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The answer of the given question based on the scatterplot for determining  when she will reach 10,000 songs the answer is Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

Slope is  measure of  steepness or incline of  line. In geometry and mathematics, slope is defined as  ratio of the change in  y-coordinates to  change in  x-coordinates between two distinct points on  line. This is often represented by  letter "m".

To determine when Maria will reach 10,000 songs, we need to find the point on the line of best fit where the y-value is 10,000.

From the scatterplot, we can estimate that the line of best fit intersects the y-axis at approximately 2000. This means that the initial number of songs downloaded was 2000.

Next, we need to find the slope of the line of best fit. Let's choose the points (5, 6500) and (10, 9500).

The slope of the line passing through these two points is:

slope = (y2 - y1)/(x2 - x1) = (9500 - 6500)/(10 - 5) = 600 songs per month

This means that Maria is downloading 600 songs per month on average.

Finally, we can use the slope-intercept form of a line to find the x-value when the y-value is 10,000:

y = mx + b

10,000 = 600x + 2000

8000 = 600x

x = 13.33

Therefore, Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

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Answer:

512 cubic inches of sand are needed to completely fill the container.

512 cubic inches is the exact number of cubic inches of sand needed to completely fill the container.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  container in the shape of a cube will be completely filled with sand.

The container has an edge length of 8 inches.

We have to find the exact number of cubic inches of sand needed to completely fill the container.

Cube is a three dimensional figure in which all the sides are equal.

Volume of cube = side length ³

=8³

=8×8×8

= 512 cubic inches

Hence, 512 cubic inches is the exact number of cubic inches of sand needed to completely fill the container.

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The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Answer: 56

Step-by-step explanation:

Answer:

112% of 50 is 56

Step-by-step explanation:

100% of 50 is 50.

We have to find 12% of 50, and then add it to 50 to get 112% of 50.

12% of 50 is the same as .12 x 50 which is 6.

50 + 6 = 56

I Hope That This Helps! :)

Answer:

c^2+4c-3

Step-by-step explanation:

(4c^2-3c^2)+(6c-2c)-3 = c^2+4c-3

The cost of each chair is $6.2 and  the cost of each table is $1.34.

Let's solve this problem by assuming the cost of each chair as ‘c’ and the cost of each table as ‘t.’ We can create two equations from the information given we can obtain the values of ‘c’ and ‘t.’

From the given information, the first equation is ‘c + 4t = 53’ because the cost to rent one chair and four tables is $53. The second equation is ‘3c + 2t = 25’ because the cost to rent three chairs and two tables is $25.

We can solve this by either substitution or elimination, but the method we used earlier works - multiplying the first equation by 3 and subtracting the second equation from it, to obtain:

3c + 12t = 159

- (3c + 2t =25)

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

10t = 134

Therefore, the cost of each table is $13.4.

We can plug this value back into equation 1 and solve for c

c + 4(13.4) = 53

c + 53.6 = 53

c = -0.6

This isn't a possible solution as the cost of the chair cannot be negative.

Thus, we need to check if an error was made earlier. We can plug the value of t in the second equation:

3c + 2t = 25

3c + 2(13.4) = 25

3c + 26.8 = 25

This equation is contradictory, indicating that there is no solution. We need to revise the problem statement, a possible typo can be a misplaced decimal point for example, if the cost of each table is instead $1.34, all equations will hold, and the final answer will be:$6.2 and $1.34 respectively according to the question.

This is a possible solution and makes sense.

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Answer:

Step-by-step explanation:

I do know give me brainliest first

Answer:

24 gift bags

Step-by-step explanation:

Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!

May I have heart, 5 star, and brainliest please?

Answer:

The rectangle is 7.9 meters by 2.9 meters.

Step-by-step explanation:

Let l be the length and w be the width

l = w + 5

A = 23 m²

Formula: A = lw

Solve for the dimensions

23 = (w+5)w

23 = w² + 5w

w² + 5w - 23 = 0

Use quadratic formula to find the possible value/s of w

\(w = \frac{-b+-\sqrt{b^2-4ac} }{2a}\\ w = \frac{-5+-\sqrt{5^2-4(1)(-23)} }{2(1)} \\w = \frac{-5+-\sqrt{25+92} }{2}\\ w = \frac{-5+-\sqrt{117} }{2} \\w = \frac{-5+-\sqrt{9(13)} }{2} \\w = \frac{-5+-3\sqrt{13} }{2}\\ w = \frac{-5+3\sqrt{13} }{2} = 2.9\\ w = \frac{-5-3\sqrt{13} }{2} = -7.9\)

Since we're dealing with dimensions, take the positive value which is 2.9.

w = 2.9 m

Substitute the value to l = w + 5

l = 2.9 + 5

l = 7.9 m

The probability that a randomly selected student has a typing speed of less than 51 words per minute if the mean (u) is 47 words per minute and the standard deviation (o) is 4 words per minute is; 68%

The empirical rule in statistics states that for normal distributions, 68% of observed data points will lie inside one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.

The formula for z-score is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

x' = 51

μ = 47

σ = 4

Thus;

z = (51 - 47)/4

z = 1

From empirical formula at 1 standard deviation above the means, the probability is 68%.

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The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Answer:

The son is 5 I think

Step-by-step explanation:

24+3=27

27 divided by 5 = 5.4

round 5.4 to 5 since it is under .5

and you get 5

Answer:

  x = -2

Step-by-step explanation:

The function is decreasing where the first derivative is negative.

That is, the function is decreasing on the interval (-2, 5), except at x=2, where there is a flat spot. That means the maximum value is found at the left end of that interval, at x=-2.

__

The maximum value might be found at x = 6, at the right end of the interval (5, 6) on which the function is increasing. However, we judge the area under the first derivative curve between x=5 and x=6 to be less than the total area under the curve between x=-2 and x=5. That means the function does not increase enough from its minimum at x=5 to make up for the decrease over the longer interval.

__

The attachment shows an approximation of the derivative function given in the problem statement (dashed line) and its integral (solid line). Not all of the curvature of f'(x) is accounted for in the approximation, but the overall result is consistent with the above analysis.

Answer: r=L - s  / L

s=l(1−r)

Step 1: Flip the equation.

−lr+l=s

Step 2: Add -l to both sides.

−lr+l+−l=s+−l

−lr=−l+s

Step 3: Divide both sides by -l.

−lr

−l

=

−l+s

−l

r=

l−s

l

Answer:

32 times

Step-by-step explanation:

It's SUPER easy, all you have to do is take that 1/8 and make it into a regular 8. Now all you do is multiply 4 by 8.

I know there's probably some way the teachers taught that's so much harder then it already is, but if you try to look at it from an easier perspective, you'll be a pro!

Try some more so you'll slowly start getting better at them! Anyway I hope this helped!!