Kevin has money in two savings accounts. One rate is 11% and the other is 14%. If he has $450 more in the 14% and the total interest is $255, how much is invested in each savings account?

The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's find the slope (m) of line passing through points (3 , -2) and (-2 , 8) :

slope (m) = -2

now, let's plug the value of slope (m) and coordinates of point (3 , -2) to find c (y - intercept)

\(y = mx + c\)

Y - intercept of the given line is 4, so the required equation will be :

The probability of an item selected for inspection is classified and the defective is 0.01485.

Denote the events as follows:

A₁ = an item that is produced by the company and is defective.

A₂ = an item produced by the company that is not defective.

X is an item that is classified as defective by an inspector.

Given:

P (X|A₁) = 0.99

P (X|A₂) = 0.005

P (A₁) = 0.01

P (A₂) = 1 - P (A₁)

P (A₂) = 1 - 0.01 = 0.99

The law of total probability defines that:

P(B)=P(B|A).P(A)+P(B|C).P(C)

By using this law we can compute the probability that it is selected for inspection that is classified as defective as follows:

P(X)=P(X|A₁).P(A₁)+P(X|A₂).P(A₂)

So, the probability that an item selected for inspection is classified as defective is 0.01485.

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Answer:

at the vertex x = 4.5

Step-by-step explanation:

hope this helps! :)

Answer:

at the vertex x = 4.5

Step-by-step explanation:

Answer:

The writing is blurry. Please snap again in closer range

The minimum production rate of bushels per acre of corn needed this year is 97 for two year's production to reach the goal of 49,100.

To calculate the minimum production rate for this year, we must subtract the production rate of the previous year, with what is expected to be obtained this year.

Then we must divide the minimum that must be obtained by the total area, by the 300 acres that we have, to know how much corresponds to each acre.

According to the above, each acre must produce 97 bushels of corn to reach the goal of 49,100 for both years.

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Check the picture below.

so hmmm if we just take the whole are of the 2x2 square, and then get the area of each of those circles with a radius of ½, and subtract the area of the circles from that of the square, what's leftover is what wasn't subtracted, namely the shaded region.

\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{ square }{(2)(2)}~~ - ~~\stackrel{ \textit{four circles} }{4( ~~ \pi (\frac{1}{2})^2 ~~ )}}\implies 4-\pi ~~ \approx ~~ \text{\LARGE 0.86}~cm^2\)

Answer:

Step-by-step explanation:

Write in slope intercept form.

y - 9 = -2(x - 8)

y - 9 = -2x + 16

y = -2x + 16 + 9

y = -2x + 25

y = mx + b

The m is the slope, b is the y-intercept.

y = -2 x + 25

The slope is -2.

Answer:

3/8

Step-by-step explanation:

Two triangles = one square

Since there are 4 squares, then there are 8 triangles

We see one triangle is shaded.

We also see one square is shaded, which means 2 triangles are shaded.

2 + 1 = 3 triangles shaded. Since there are a total of 8 triangles, then the fraction would be 3/8

Answer is 128 cubic inches

The volume of the given box is 64 inch³

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The length, width, and height of a rectangular box are multiplied to get its volume.

As a result, the following formula may be used to determine the volume of an 8 inches by 4 inches by 2 inches rectangular box:

Volume is calculated using the formula LWH.

Volume is =8 * 4 * 2 inches.

64 cubic inches is the volume.

The rectangular box measures 8 by 4 by 2 inches and thus has a volume of 64 cubic inches.

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Answer:

6x -24

Step-by-step explanation:

You just develop :

6(x-4)

6*x - 6*4

= 6x-24

Answer:

6x -24

Step-by-step explanation:

im rights trust

Answer:

x = √130

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Leg a = 9

Leg b = 7

Hypotenuse c = x

Step 2: Solve for x

The value of the missing angle is x = 58°

The area of the triangle is 41.58 yd²

The area of the parallelogram is 120 in².

The area of the trapezoid is 35.38 in².

Geometry is a branch of mathematics that deals with shapes, angles, dimensions and sizes of different things we see in everyday life

NUMBER 14

Since the sum of angles in a hexagon is 720°. We can say:

x + 132° + 140° + 145° + 125° + 120° = 720°

x + 662 = 720

x = 720 - 662

x = 58°

NUMBER 15

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 13.2 * 6.3 = 41.58 yd²

NUMBER 16

Area of parallelogram = base * height

Area of parallelogram = 15 * 8 = 120 in²

NUMBER 17

Area of trapezoid = 1/2(a + b)h

where a = 4.4 in, b = 7.2 in and h = 6.1 in  

Area of trapezoid = 1/2*(4.4 + 7.2)*6.1 =  35.38 in²

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Answer:

(a). 5√6

Step-by-step explanation:

\( \sqrt{10} \times \sqrt{15} \\ = \sqrt{150} \\ = \sqrt{25 \times 6} \\ = 5 \sqrt{6} \)

The description that most accurately describes the sample results is: The range of play times is ABOUT THE SAME for both radio brands. but the X-Treamline Cronk Radio plays for LONGER. (Option C)

The minimum value for Secure Hike Emergency Radio is 21,  the first quartile is around 25, the median is 27, the third quartile is about 30, and the highest value is 33, according to the box plot.

The minimum value for X-Treamline Crank Radio is 25, the first quartile is approximately 28, the median is 30, the third quartile is around 36, and the maximum value is 42. We can conclude that option C is the most accurate summary.

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Answer:

1/7

Step-by-step explanation:

The probability of picking an even number is 3/7.

Without putting the first card back, the probability of picking an even number again is 2/6.

\(3/7 \times 2/6\)

\(= 6/42\)

\(=1/7\)

The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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Answer:

7 hours

Step-by-step explanation:

4:18+7:00=11:18

Answer:

I think it’s D

Step-by-step explanation:

trust

Answer:

the aswer is D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

should be the answer because

The approach for solving for incenter.

Incenter:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

It can also be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

Formula for solving incenter:

Let (x1,y1) , (x2,y2) and (x3,y3) are three points of triangle.

and a,b,c are lengths of sides.

I = ((ax1+bx2+x3 / a+b+c  ,  ay1+by2+cy3 / a+b+c))

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Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

Step-by-step explanation:

1/2(114)+(58*2)

1/228+(116)

1/228+116/1=

26676/228=117

where r = 19 feet, h = 40 feet, and θ varies from 0 to 8π (4 complete revolutions) as t varies from 0 to 4.

An equation is a mathematical statement that shows the equality of two expressions, which are separated by an equals sign (=). An equation can have variables, constants, coefficients, and operators. The variables are represented by letters, and their values can change depending on the context of the problem. The constants are fixed values, and the coefficients are the numbers that multiply the variables. The operators are mathematical symbols that indicate the operation to be performed, such as addition (+), subtraction (-), multiplication (*), division (/), and exponentiation (^). Solving an equation means finding the value(s) of the variable(s) that satisfy the equation.

Given by the question.

Let's start by defining the necessary parameters. The radius of the staircase is given as 19 feet, and the height is given as 40 feet. The staircase makes 4 complete revolutions, so the total height of the staircase is 4 times the height of one revolution, which is 40 feet.

To find a vector parametric equation for the helical path, we need to consider the circular motion around the center axis, as well as the motion along the axis. Let's define the following parameters:

r: radius of the staircase (19 feet)

h: height of one revolution (40 feet)

θ: angle of rotation around the center axis (in radians)

z: height along the center axis

The circular motion around the center axis can be described by the following parametric equation:

x = r cos(θ)

y = r sin(θ)

z =???

To find the equation for z, we need to consider the motion along the center axis. Since it takes one hour to stroll up one revolution, and there are 4 revolutions in total, the time it takes to stroll up the entire staircase is 4 hours. Therefore, we can use t as a parameter that varies from 0 to 4, and define z as:

z = (h/4) t

Note that we divide h by 4 to scale the parameter t to the interval [0,4].

Putting it all together, the vector parametric equation for the helical path is:

r(t) = <r cos(θ), r sin(θ), (h/4) t>

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The area of the triangle is; 33 in².

The area of the rectangle is; 190 in².

The total area as required is; 223 in².

By observation; the triangle is such that its base is 6 in and it's height is; (20 - 9) = 11 in.

Therefore, the area of the triangle given by; (1/2)×b×h is; (1/2) × 6 × 11 = 33 in².

The area of the rectangle of length 20 in and width 9.5 in is; 20 × 9.5 = 190 in².

Ultimately, the total area of the composite shape is; 33 + 190 = 220 in².

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The five number summary, based on the given box plot would be:

Minimum value is the left-most point or the left end of the left whisker of the box plot. In the box plot, the minimum value is 1. Q1 is the left edge of the box. It represents the value below which 25% of the data falls.

Median is the line inside the box that divides it into two parts. It represents the value below which 50% of the data falls, or the 50th percentile. The median is 7. Q3 is the right edge of the box. It represents the value below which 75% of the data falls. In your given summary, Q3 is 9.

Maximum value is the right-most point or the right end of the right whisker of the box plot.

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Answer:

333234

Step-by-step explanation:

333234$ for the next 4 years and the ecvation is 69$+-2$

Answer:

Step-by-step explanation:

18 times 9 then -9

Answer:

135

Step-by-step explanation:

First, Times 18 x 8. which gives you 144. Then, subtract 9, giving you 135.