Ella has $50,000 is a saving account. The savings collect interest at an 8% annual rate that compounds every year. How much money will be in Ellas account after 5 years?

Answer:

17

Step-by-step explanation:

12½ - (-4½)

12½ + 4½

17

hope it helps!

we have to convert the mixed fractions to improper fraction and do the arithmetic as follows:

\(\frac{25}{2}-(-\frac{9}{2} ) =\frac{25}{2} +\frac{9}{2}=\frac{34}{2} =17\)

\(12\frac{1}{2} -(-4\frac{1}{2} )=?\)

The fractions are represented in mix fractions. Therefore, let's convert it it to improper fractions before doing the arithmetic.

\(12\frac{1}{2} = \frac{25}{2}\)

\(-4\frac{1}{2} = -\frac{9}{2}\)

Therefore,

\(\frac{25}{2}-(-\frac{9}{2} ) =\frac{25}{2} +\frac{9}{2}\)

Note - × -  = +

Therefore,

\(\frac{25}{2} +\frac{9}{2} =\frac{25+9}{2}\)

\(\frac{25+9}{2} = \frac{34}{2}=17\)

Therefore, the arithmetic is 17

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The inverse is NOT a function because values repeat in f(x).

To determine whether the inverse of a function is also a function, we need to check if there is any repetition in either the x-values or the y-values of the original function.

x                f(x)

-2              -4

0               -1

-3              -2

1                 -1

-2                 0

As we observe the x-values, we see that the x-value -2 is repeated.

For a function and its inverse to be functions, each x-value in the original function should correspond to a unique y-value in the inverse (and vice versa).

The x-value -2 has two corresponding y-values (-4 and 0) in the original function, violating this condition.

Hence,  the inverse is NOT a function because values repeat in f(x).

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The statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

According to the statement

we have a given that the Among the 1000 respondents,

12​% chose chocolate​ pie, and the margin of error was given as

±5 percentage points.

and we have to explain the statement that the margin of error was given as ±5 percentage​ points.

We know that the interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.

And this statements also indicates the interval between the like and unlike respondents of chocolate pie.

So, this statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

So, The statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

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

0 ≤ n ≤ 5.

The exponential function in this problem is defined by the rule presented as follows:

g(n) = 10(1.02)^n.

In which the variables are listed as follows:

When the study was finished, the height of the flower was of 11.04 inches, hence the day at which the study was finished is obtained as follows:

10(1.02)^n = 11.04

(1.02)^n = 11.04/10

log[(1.02)^n] = log(11.04/10)

Applying the logarithm of power property, we have that:

nlog(1.02) = log(11.04/10)

n = log(11.04/10)/log(1.02)

n = 5.

The domain is the number of days for which the student was realized, hence:

0 ≤ n ≤ 5.

As the number of days cannot assume negative values.

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Answer:

The factors of 12 are 1, 2, 3, 4, 6, 12

Step-by-step explanation:

Basically what numbers can be multiplied to equal to 12

Example:

1 x 12 = 12

2 x 6 = 12

3 x 4 = 12

The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

According to the statement

we have to find that the number of ways are there to select the applicants who will be hired.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Here we use the combination.

And from the given information:

20 applicants from a pool of 90 applications will be hired.

And according to this the combination becomes:

\(C_{20} ^{90}\)

then solve it

\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)

\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)

Then after solve it

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)

Now open another factorial

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)

Now solve this then

\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).

So, The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

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Answer:

34079 millimeters

Step-by-step explanation:

__________________________________

I assume you mean millimeters, but

All together adds up to 79 millimeter

34000 + 40 + 5 = 34079 mm

__________________________________

Hope this helped

(Edit) Sorry I didn't see meters

Step-by-step explanation:

Let A be the tens digit of the number and B be the ones digit.

We have A + B = 10 and 10A + B - 36 = 10B + A.

=> A + B = 10 and 9A - 36 = 9B

=> A + B = 10 and A - 4 = B

=> A + B = 10 and A - B = 4

Therefore 2A = 10 + 4 = 14,

A = 7 and B = 10 - 7 = 3.

Hence the number is 73.

The relationship between the reading rate of text and Braille can be modeled in terms of t as B(t) = 0.25t

Let :

Text reading rate = t

Braille reading rate can be expressed in terms of t thus :

Therefore, we could make a proportional relationship table thus :

t = 1

B(t) = 0.25(1) = 0.25

t = 2

B(t) = 0.25(2) = 0.5

t = 3

B(t) = 0.25(3) = 0.75

0.75t = 4

B(t) = 0.25(4) = 1

1 t = 5

B(t) = 0.25(5) = 1.25

Text reading rate, t ; 1 ____ 2 ___ 3 ____ 4 ____ 5

Braille reading rate ;0.25_0.50_0.75 __1.00 __1.25

Therefore, the graph of the relationship between text and braille reading rate is attached below.

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Therefore, the cost of one blanket is $30 and the cost of one sheet is $12.5

Unitary Method

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given,

The cost of three blankets = $90

The cost of two sheets and one blanket = $55

Let x be the cost of the sheet.

From the given details,

We know that, the cost of one blanket is \(\frac{90}{3} =30\)

So, if the cost of one blanket is $30, then 2x+30=55

Then

2x=55-30

2x=25

x=25/2

x=12.5

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Answer: x = 3

Step-by-step explanation:

\(2x^2 - 12x + 18 = 0\)

a = 2, b = -12, c = 18

plugging into the quadratic formula, which is:

\(\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}\)

we get two answers: x = 3. and x = 3.

as you can tell, theyre the same answer, so x = 3.

Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this is the case, we refer to the likelihood that the event will occur or not.

Here,

X υ N (22,1)

Probability that  basketball  will weigh between 20.5 and 23.5

is:

=> P(20.5 < x < 23.5)= P[ 20.5-22/1 < z < 23.5-22/ 1   ]

=>   P(20.5 < x < 23.5) = P(-1.5 < z < 1.5)

=>  P(20.5 < x < 23.5) = 0.866

Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

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Answer:

28

Step-by-step explanation:

-7x2 is -14

-14x-2 is positive 28.

Answer:

Step-by-step explanation:

(-7)(2)(-2)

-14(-2)= 28

answer is 3

(a) Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts -2, 2, and 3

From the question, we have the following parameters that can be used in our computation:

f(x) = (x + 2)(x − 2)(x − 3)

The above equation is a cubic function

So, we set it to 0 next

Using the above as a guide, we have the following:

(x + 2)(x − 2)(x − 3) = 0

Evaluate

x = -2. x = 2 and x = 3

This means that the solutions are x = -2. x = 2 and x = 3 i.e. graph a

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The probability that the first winner lives in Gaston and the second lives in Pike is (1/36).

What is Probability?

A number that reflects the chance or likelihood that a particular event will occur is called probability.

There are 9 customers in total, so there are 9 choices for the first winner.

According to question 2 of these customers live in Gaston

So, there are 2 choices for the first winner to live in Gaston.

After the first winner is chosen, there are only 8 customers remaining.

Now there are 8 choices for the second winner and one of the winners has already been chosen from Gaston, there are only 2 customers left in Gaston, and one of them is from Pike. Therefore, there is only 1 choice for the second winner to live in Pike.

So the probability that the first winner lives in Gaston and the second lives in Pike is (2/9) × (1/8) = 1/36

Therefore, the probability is 1/36, which is the final answer in its simplest form.

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Answer:95

Step-by-step explanation:

Answer:

i don't think 3 works for x because the only solution for x was 8

Step-by-step explanation:

To solve this problem, we need to use the formula for surface area of a triangular prism, which is: Surface Area = 2 × (base area) + (lateral area). So, the surface area of the new ramp that Santiago needs to build is 361.8 square feet.

Let's first find the base area of Santiago's current ramp. Since the ramp is in the shape of a triangular prism, the base is a triangle. Let's call the base dimensions b and h, and the length of the ramp l. Then the base area is:
base area = (1/2)bh
We are not given the dimensions of the triangle, but we are given the surface area of the ramp, which is 40.2 ft^2. So we can set up an equation:
2 × (base area) + (lateral area) = 40.2
Substituting the formula for base area, we get:
2 × (1/2)bh + (lateral area) = 40.2
Simplifying:
bh + (lateral area) = 40.2
Now we need to find the lateral area. Since the ramp is in the shape of a triangular prism, the lateral area is the area of three rectangles, each with base l and height equal to one of the dimensions of the triangle. Let's call these dimensions x, y, and z, so that:
lateral area = xl + yl + zl
We are given that Santiago needs to build a ramp 3 times longer in every dimension than the ramp he has. So the new dimensions of the triangle are 3b, 3h, and 3l. The new lateral area is:
(3b)(3l) + (3h)(3l) + (3b)(3h) = 27bl + 27hl + 27bh
Substituting this into our equation for surface area, we get:
bh + 27bl + 27hl + 27bh = 40.2
Simplifying:
55bh + 27bl + 27hl = 40.2

Now we can solve for the new surface area by using the formula for surface area again, but with the new dimensions:
Surface Area = 2 × (base area) + (lateral area)
Substituting in the new dimensions, we get:
Surface Area = 2 × (1/2)(3b)(3h) + (27bl + 27hl + 27bh)
Simplifying:
Surface Area = 9bh + 54bl + 54hl
Substituting in the equation we found earlier:
Surface Area = 9bh + 54bl + 54hl = (40.2 - 27bl - 27hl)/55
Multiplying both sides by 55:
495bh + 2970bl + 2970hl = 40.2 - 27bl - 27hl
Simplifying:
522bh + 2997bl + 2997hl = 40.2
So the surface area of the new ramp is 522bh + 2997bl + 2997hl square feet.

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Therefore, James arrived home at 5:05 pm in 24-hour format. If James was supposed to be home at 4:30 pm and he arrives 35 minutes late, we can calculate the time he arrived home by adding 35 minutes to 4:30 pm.

To do this, we can convert 4:30 pm to 24-hour format, which is 16:30. Then we add 35 minutes to 16:30, which gives us 17:05.

Therefore, James arrived home at 5:05 pm in 24-hour format.

It's important to note that 24-hour time is a system where the day is divided into 24 hours, starting at midnight (00:00) and ending at 23:59. In this system, the hours are numbered from 00 to 23.

Using 24-hour time can be beneficial because it eliminates confusion between am and pm, especially when working with international colleagues or when scheduling events that span multiple time zones.

In summary, James arrived home at 5:05 pm in 24-hour format by adding 35 minutes to his original scheduled arrival time of 4:30 pm, which was converted to 16:30 in 24-hour time.

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Answer:

i don't know sorry

Step-by-step explanation:

Solving a linear equation, we can see that the other famous player hit 619 home runs.

Let's denote the number of home runs hit by the other famous baseball player as x.

According to the given information, Hank Aaron hit 136 more home runs than the other player. Therefore, the number of home runs hit by Hank Aaron can be represented as x + 136.

Together, they hit 1374 home runs. So we can set up the linear equation:

x + (x + 136) = 1374

Simplifying the equation:

2x + 136 = 1374

Subtracting 136 from both sides:

2x = 1374 - 136

2x = 1238

Dividing both sides by 2:

x = 1238 / 2

x = 619

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The correct option is:

c. Action research

What type of research is conducted by professionals in any type of school to investigate a problem, with findings that may have limited generalizability?

The type of research conducted by professionals in any type of school to investigate a problem, with findings that may have limited generalizability, is known as action research.

c. Action research.

Action research is a type of research that is intended to be carried out by professionals in any type of school setting to investigate a specific problem or issue. The focus of action research is on practical solutions and making improvements within a particular context.

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Answer:

B

Step-by-step explanation:

Hope this helps ;)

Answer:

B.  120°

Step-by-step explanation:

Sum of the measures of the interior angle of a polygon with n sides:

(n - 2)180

We have a pentagon, a 5-sided polygon, so n = 5.

We first find the sum of the measures of the angles of any pentagon.

(5 - 2)180 = 3(180) = 540

From the figure, we add the measures of the 5 angles and set the sum equal to 540°.

3x + 4x + 4x + 4x + 3x = 540°

18x = 540°

Divide both sides by 18.

x = 30°

The angle at vertex C measures 4x.

4x = 4 * 30° = 120°

Answer: B.  120°

Each angle on a square road sign measures 90 degrees.

A square is a quadrilateral with four equal sides and four right angles. In a square, all angles are congruent, meaning they have the same measure. Since a square has four angles, each angle is equal to the total sum of the interior angles of a square divided by four.
The total sum of the interior angles of a square can be calculated using the formula (n - 2) * 180 degrees, where n is the number of sides. For a square, n = 4, so the total sum of the interior angles is (4 - 2) * 180 = 2 * 180 = 360 degrees.
To find the measure of each angle, we divide the total sum of the interior angles by the number of angles, which is 4 in the case of a square:
360 degrees / 4 angles = 90 degrees.
Therefore, each angle on a square road sign measures 90 degrees.

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In the three-cell model of the general circulation, areas of surface low pressure should be found at the equator and 60° latitude.

In any environment, geographically speaking, the place with the lowest relative pressure is called the surface low-pressure center.

Surface low-pressure centers are created when the atmospheric circulation of air  (vertically) reduces a minuscule amount of atmosphere from a geographical region.

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Answer:

∠ C = 44°

Step-by-step explanation:

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

Sum the 3 angles and equate to 180, that is

4x - 16 +6x - 1 + 4x - 13 = 180°

14x - 30 = 180 ( add 30 to both sides )

14x = 210 ( divide both sides by 14 )

x = 15

Thus

∠ C = 4x - 16 = 4(15) - 16 = 60 - 16 = 44°

The technique produces concrete with high tensile strength and is used to build structures with large spans, such as bridges, long beams, and cantilevers.

Reinforced concrete and prestressed concrete are two popular techniques that help overcome the weakness of concrete in tension. Reinforced concrete and prestressed concrete are used to build structures that are both durable and reliable.

Reinforced concrete is made by mixing Portland cement, water, and aggregate. It has excellent compressive strength but weak tensile strength. The tensile strength of reinforced concrete is improved by embedding steel reinforcement rods or bars in it during casting.

The concrete is pre-stressed by tensioning the steel reinforcement rods or tendons before casting. Post-tensioning involves tensioning the tendons after the concrete has hardened.

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