what is 12(18)>8+34-98=

To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Answer:

E

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

Consider the triangle on the left

3rd angle = 180° - 60° - 90° = 180° - 150° = 30°

the 3rd angle of the triangle on the left = 30° ( vertically opposite angle ), so

∠ 1 = 180° - 30° - 65° = 180° - 95° = 85°

Answer:

1= 240. 2= 1800

girl I suck at this but basically I just multiplied the base and the width then i multiplied the height bye the product of the base and width!

Please Dont Get Mad If Its Wrong.

We are asked to solve via the elimination method the following system:

- x + 2 y = - 7

- 2 x + 3 y = - 1​

so we pick to eliminate the term in x. and notice that in order to do that, we need to multiply the first equation by (-2) so our x term in it becomes "2 x" which is the exact OPPOSITE of the term "- 2 x " in the second equation.

Then we multiply the first equation by (-2) as shown below:

(-2) (- x + 2 y ) = (-2) ( - 7 )

2 x - 4 y = 14

now we combine term by term this transformed equation with the second equation in the system:

2 x - 4 y = 14

- 2 x + 3 y = - 1​

____________

0 - 4 y + 3 y = 14 - 1

- y = 13

divide bith sides by (-1) to isolate y completely

y = 13 / (-1)

y = -13

Now we use this result in the original first equation to solve for x:

- x + 2 y = - 7

- x + 2 (-13) = - 7

- x - 26 = -7

add 26 to both sides

- x = 26 - 7

- x = 19

divide both sides by (-1) to isolate x completely

x = 19 / (-1)

x = - 19

Then our answer is: x = -19 and y = -13 which makes the coordinate pair: (-19, -13)

The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

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the answer is =10

10

10

10

Answer:

There are three ways to assign probabilities to events: classical approach, relative-frequency approach, subjective approach.

The solution is : the percentage of cars that are driving less than 45 mi/hr is 2.3%

Here, we have,

Since the speeds of cars are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = speeds of cars

µ = mean speed

σ = standard deviation

From the information given,

µ = 55 mi/hr

σ = 5 mi/hr

The probability that a car is driving less than 45 mi/hr is expressed as

P(x < 45)

For x = 45

z = (45 - 55)/5 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

Therefore, the percentage of cars that are driving less than 45 mi/hr is

0.023 × 100 = 2.3%

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a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer: 1,800 km/hr

Step-by-step explanation:

If you multiply 45 and 40, you get 1,800

The three true statements are as follows:

In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.

A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.

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Answer:

A) y=9x

B) y=45 when x=5

Step-by-step explanation:

Part A

\(y=kx\\-27=k(-3)\\-27=-3k\\9=k\\y=9x\)

Part B

\(y=9(5)\\y=45\)

Answer

what r the options? a b c d?????

i wuld say it is 2.5

Step-by-step explanation:

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer: x= −0.357142857142857

Step-by-step explanation: don’t count me on it

hey, I checked on desmos, which is a calculator for this type of stuff, and got 1.8,5.2. So I think that's one solution. Sorry if wrong.

The area of park in terms of scale drawing is 79200 square yards with scale drawing of a rectangular park is 8 inches wide and 11 inches long.

Area of rectangle=Length * width.

Given:

scale length of rectangular park = 11 inch =

scale width of rectangular park = 8 inch

scale length / actual length of park = scale width/ actual width of park

11/330= 8/ actual width of park

1/30 =  8/ actual width of park

actual width of park = 240

So,

Area = length* width

=330*240

= 79200 square yards

Hence, the area of the actual parking is 79200 square yards.

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Answer:

All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.

Step-by-step explanation:

Let's find the volume of each design.

For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.

Therefore, the area of the cross section is:

\(A_1=3(2)=6\text{ cm}^2\)

Since the height is 10 cm, the total volume of Design A is:

\(V_1=10(6)=60\text{ cm}^2\)

For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.

So, the area of the cross section is:

\(A_2=3(2)=6\text{ cm}^2\)

And the height is still 10 cm. So, the total volume of Design B is:

\(V_2=6(10)=60\text{ cm}^3\)

Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.

For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.

So, the area of the cross section is:

\(\displaystyle A_3=\frac{1}{2}(2)(6)=6\)

And since the height is 10 cm, the volume of Design C is:

\(V_3=6(10)=60\text{ cm}^3\)

Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.

Answer:

The Bosnian war and genocide resulted in close to 100,000 civilians killed, over 2 million people forcibly displaced, and between 20,000-50,000 women systematically raped. ... Over 7,000 Bosnian Muslim prisoners captured in the area around Srebrenica were summarily executed from 13 July to 19 July 1995.

Step-by-step explanation:

hope this helps

Answer:

Most significant digit. That's the same that it's called for any number system.

Step-by-step explanation:

Answer:

Unit rate for the stake is 7$.

Step-by-step explanation:

You can do a chart to help you.

Steak : Cost

3        :   $21

2        :   $14

1         :   $7     Here's your unit rate.

I hope this helps :)

The given box plot represented by the data sets in option A and B.

From the given box plot, we have

Minimum value = 3

Maximum value = 18

First quartile (Q1) = 7

Third quartile (Q3) = 13

Median = 10

Option A:

3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18

Median = 12

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option B:

3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Option C:

3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option D:

2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Therefore, the correct options are B and D.

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Answer:

Step-by-step explanation:

k²x³ - 8kx + 16=0;

since, k²x³ - 8kx + 16 is divisible by x - 1 then,

k²-8K+16=0;

k²-4K-4K+16=0;

k(k-4)-4(k-4)=0;

(k-4)(k-4)=0;

k=4

The three consecutive even integers are 6, 8, and 10, which satisfy the Pythagorean Theorem.

We have,

The Pythagorean Theorem in a right-angled triangle,

a² + b² = c²

To find three consecutive even integers that satisfy this theorem, we can start by assuming that one of the even integers is x.

Then, the next two consecutive even integers would be x+2 and x+4.

We can then use the Pythagorean Theorem to set up an equation and solve for x:

x² + (x+2)² = (x+4)²

Expanding and simplifying:

x² + x² + 4x + 4 = x² + 8x + 16

Simplifying further:

x² - 4x - 12 = 0

Now we can use the quadratic formula to solve for x:

x = [4 ± √(4² - 4(1)(-12))] / (2 x 1)

x = [4 ± √64] / 2

x = [4 ± 8] / 2

x = 6 or x = -2

Since we are looking for three consecutive even integers, we can discard the negative solution and choose x = 6.

This gives us the three consecutive even integers: 6, 8, and 10, which satisfy the Pythagorean Theorem:

6² + 8 = 10²

36 + 64 = 100

100 = 100

Thus,

The three consecutive even integers are 6, 8, and 10, which satisfy the Pythagorean Theorem.

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The complete question.

Find three consecutive even integers that satisfy the Pythagorean Theorem.

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Reason:

\(\angle 1 = 62^{\circ}\) because of the vertical angles theorem.

Then angle 1 and angle 2 add to 90 degrees (the angles are complementary).

\(\angle 1 + \angle 2 = 90\\\\62 + (2x-8) = 90\\\\2x + 54 = 90\\\\2x = 90 - 54\\\\2x = 36\\\\x = 36/2\\\\x = 18\\\\\)