7O00 dollars in invested in a bank account at an interest rate of 10 perce per year compounded continunaly. Meanwhile, 28000 dollars invested in a bank account at an intarest rate of 4 percent compounded annually. Detormine graphically (using technology) to the nearest year, after how many years will the two accounts have the same balance. ​

Step-by-step explanation:

kiop

Answer:

40, 15, 2.5

Step-by-step explanation:

If there are 10 kilos in 22 pounds, we have to divide Fido's weight by 22. 88/22 is 4 meaning there are four sets of 10 kilos making 40.

If 22 pounds is 1 kilogram, and half a kilogram is 11 pounds, we kmow thaat 22 + 11 equals 33.

Bella weighs one foruth or a quarter of 22. Meaning he is a quarter of 10 kilograms giving us 2.5

Answer:

33 is a composite number ;)

Answer:

4t - 3 > 37t - 50

Step-by-step explanation:

Step 1: 4t - 3 > 37t - 50

          -4t         -4t

           -3 > 33t - 50

          +50        + 50

        47 > 33t

        33    33

        t < 47/33

The value for t in the given inequality 4t - 3 > 37t - 50 after solving the inequality is t < \(\frac{47}{33}\).

Given an inequality:

4t - 3 > 37t - 50

It is required to find the value of t after solving the inequality.

In order to solve the inequality, write the inequality such that the like terms are on the same side.

Here the like terms in variables are 4t and 37t which are on opposite sides.

The like terms in constant are -3 and -50 which are also on opposite sides.

Consider the inequality:

4t - 3 > 37t - 50

Add 3 on both sides.

4t > 37t - 47

Subtract 37t on both sides.

-33t > -47

Divide both sides by -33. Then the inequality sign also switches to its opposite sign.

t < \(\frac{47}{33}\)

Hence the solution of the given inequality is any number t whose value is less than \(\frac{47}{33}\).

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Answer:

the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 2, because it is the only factor that can go with both of the numbers.

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

3.38

Step-by-step explanation:

first do the multiplication

2×0.81

= 1.62

then the subtraction

5- 1.62= 3.38

Answer:

$10,212.50

Step-by-step explanation:

We'll use this formula: A = P(1 + rt)

A = Final amount

P = Starting amount (10,000)

r = rate (0.005)

t = time in years (4.25)

A = 10,000(1 + 0.005 x 4.25)

A = 10,000(1 + 0.02125)

A = 10,000(1.02125)

A = 10,212.5

Answer:

Step-by-step explanation:

To display the results of the rugby team games last year in a pie chart with an angle size of 150 degrees, Michael can follow these steps:

Calculate the percentage of games won, lost, and drawn:

Percentage of games won: (15 / 25) x 100% = 60%

Percentage of games lost: (20 / 25) x 100% = 80%

Percentage of games drawn: (25 - 15 - 20) / 25 x 100% = 20%

Calculate the angle size for each segment of the pie chart:

Angle size for games won: 60% x 150 degrees = 90 degrees

Angle size for games lost: 80% x 150 degrees = 120 degrees

Angle size for games drawn: 20% x 150 degrees = 30 degrees

Draw a circle and mark the center point.

Draw a line from the center point to the edge of the circle. This will be the first segment of the pie chart.

Use a protractor to measure the angle size for the first segment (90 degrees) and mark it off on the edge of the circle.

Repeat steps 4 and 5 for the other two segments (120 degrees and 30 degrees).

Label each segment with the corresponding result (win, lose, draw) and the percentage of games.

The resulting pie chart should have three segments: one for games won (60% of 25 games), one for games lost (80% of 25 games), and one for games drawn (20% of 25 games). The segment for games won should have an angle size of 90 degrees, the segment for games lost should have an angle size of 120 degrees, and the segment for games drawn should have an angle size of 30 degrees.

The function notation of 9x + 3y = 12 is given as follows:

f(x) = 4 - 3x.

The function in the context of this problem is given as follows:

9x + 3y = 12.

The format for the function notation is given as follows:

Hence we must isolate the variable y, as follows:

3y = 12 - 9x

y = 4 - 3x (each term of the expression is divided by 3).

f(x) = 4 - 3x.

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The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.

To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.

AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5

BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4

AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)

Now, let's check if AB^2 + BC^2 = AC^2:

AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41

AC^2 = (2sqrt(10))^2 = 4(10) = 40

Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.

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Answer:

B. It is a many-to-one function.

Step-by-step explanation:

To find what the function below is, you can use the Function Grapher and Calculator from Math is Fun to graph the function.

As you can see, the graph passes the vertical line test, since each x-value has exactly one y-value.

According to the diagram below, the function will be a many-to-one function, since there are y-values that have three different x-values.

So, your answer will be B. it is a many-to-one function.

Hope this helps!

Answer:

0.765

Step-by-step explanation:

The dot plot shows the data

x= 20,21,22,23,24,24,25,25,25,26,26,27,28,29,31

The mean x`= ∑x/n =20+21,+22,+23,+24,+24,+25,+25,+25+,26+,26+,27+,28+,29+,31/15= 376/15

=25.067

where n is the sample size= 15

The standard deviation is σ=2.96

( using calculator)

The standard error is calculated as

SE= σ/√n

SE= 2.96/√15

SE= 0.765

The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping

Rewriting 125x^ 3 −27 as (5x) ^3 −3³

The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )

Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.

Hence, (5x−3)(25x ^2 +15x+9)

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Answer

r : {-1, 0, -1, -2}

Blank 1 : -1

Blank 2 : 0

Blank 3 : -1

Blank 4 : -2

Explanation

We are given the domain of x for the expression, y = - |x|

We are then asked to calculate the range of values for y

when x = -1

y = - |x| = - |-1| = - (1) = -1

when x = 0

y = - |x| = - |0| = - (0) = 0

when x = 1

y = - |x| = - |1| = - (1) = -1

when x = 2

y = - |x| = - |-2| = - (2) = -2

Hope this Helps!!!

Answer:

This is called a supplementary angle. x = 12°

And for extra credit:

y is a vertical angle to 60° and a supplementary angle to x so

y = 60°

Step-by-step explanation:

Answer and Explanation:

Please find full question attached

From the bar chart, we can see that the the interval 130-150 has two bars in it:

Interval 130-140 with the highest frequency of 5

Interval 140-150 with frequency of 2

Therefore to find the percentage between 130-150 we add up the frequencies 2+5=7 and divide by the total frequency of 15 people all multiplied by 100

=7/15×100= 46.67%

Percentage of participants with heart rate between 130 and 150 =46.67%

The solution to the simplification is  -25.

Simplification or simplify fractions means to simplify a complicated mathematical expression to get a single or direct answer

-20 ÷ 4/5

rewrite the equation

-20 x 5/4

Multiply the fraction

-100/4

Divide the fraction

=-25

Therefore, the correction option from option 1 to 4  is 1. which is -25

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The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 4:3, or 4/3.

To find the ratio of the surface areas of the two similar cylinders, we need to consider the ratio of their corresponding dimensions. Since the two cylinders are similar, their radii are proportional to their heights. Let's denote the height of the smaller cylinder as h1, the height of the larger cylinder as h2, the radius of the smaller cylinder as r1, and the radius of the larger cylinder as r2.

Given:

h1 = 15 inches

h2 = 20 inches

The ratio of the heights is:

h2 / h1 = 20 / 15 = 4 / 3

Since the cylinders are similar, the ratio of their radii is the same as the ratio of their heights:

r2 / r1 = 4 / 3

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Answer: You should provide a photo if there's any.

Step-by-step explanation:

Answer:

There is no outlier

Step-by-step explanation:

Outlier is the number that is either much larger or smaller than the other data values.

x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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The other name of plane V is plane RST which is the correct answer would be option (D).

A Plane is defined as a flat surface without borders or thickness is referred to as a plane in geometry. In other words, a plane is a flat surface that exists only in two dimensions and can never finish there.

Three points make up a plane. Plane V may also be known as QRS.

There are four points on plane V.

The points are:

Point Q, Point R, Point S, Point T

The three points are all on plane V, as indicated by the statement above, thus any one of them can be considered as plane V.

A plane is a 2-dimensional space that may be defined by naming any three points that are located within it,

So, the possible name of plane V is plane RST.

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Answer:

x=5/3

Step-by-step explanation:

Correct option is A. To form the image, the pre-image moved, five units right and three units up.

Its image refers to a point's, a line's, a line segment's, or a figure's new location following a transformation.

The image of Q's coordinates are (x1+ ar, y1+ br, z1+ cr). The midpoint R of PQ's coordinates are discovered. By changing the coordinates of R in the planar equation, the value of r is determined. The r-value is then entered into the Q coordinates.

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Complete Question -

To form the image, the pre-image moved

O five units right and three units up.

O two units right and three units up.

O five units left and three units down.

O two units left and three units down.

The image is attached below -

Answer:

a

Step-by-step explanation:

i rjrjejjejejejebruex so yeah thats it

The function represents an exponential growth.

A graph of the function is shown in the image attached below.

The domain and range of this function are (-∞, ∞) and (0, ∞) respectively.

The y-intercept of this function is (0, 100).

In Mathematics, an equation which can be used to model an exponential growth rate is modeled by this mathematical expression:

A(t) = P(1 + r)^{t}

Where:

Based on the exponential functions provided above, we can reasonably infer and logically deduce that the required exponential growth rate function is given by;

y = 100(1.05)^x

1 + r = 1.05

r = 1.05 - 1

Growth rate, r = 0.05 or 5%.

y-intercept, P = 100.

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Answer:

10y

Step-by-step explanation:

The quotient of a number x and two tenths is 5x

Quotient is defined as the quantity derived from the division of two numbers.

From the information given, we are to find the the quotient of;

The quotient is written thus;

= x/ 2/ 10

Take the inverse of the denominator and multiply

= x × 10/ 2

= 10x/ 2

find common divisor

= 5x

Thus, the quotient of a number x and two tenths is 5x

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