please help! show work if possible​

Answer:

We can call last years amount as 100 percent. that means 68-100. We want to know was 85 is so we can say 85-x. We have 68-100  

                                                                             85-x

Cross multiplying and solving for x we get 8500/68 =x  x=125, so the answer is 125.

The correct answer is log4. The given statement is 10^4 = 10,000. To find the value equal to 4, we need to look for the logarithm with a base of 10 that results in 4.

In this case, the correct answer is log10,000 because log10(10,000) = 4. This is because log is the inverse operation of exponentiation. In other words, log4 is asking the question "what power do I need to raise 10 to in order to get 4?"

We know that 104 is equal to 10,000, so we can rewrite the question as "what power do I need to raise 10 to in order to get 10,000?" The answer is 4, since 10 to the power of 4 is 10,000. Therefore, log10,000 is equal to 4.

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Answer:

A

Step-by-step explanation:

Use the Pythagorean Theorem: a^2 + b^2 = c^2

The cable will be the hypotenuse, so c = 11.3 m

One leg is the distance of the anchor, so a = 4.2 m

(4.2)^2 + b^2 = (11.3)^2

17.64 + b^2 = 127.69

Subtract 17.64 from both sides

b^2 = 110.05

Square root both sides

b = ~10.5 m

Answer:

Step-by-step explanation:

Temperature change is:

Answer:

-662.4

Step-by-step explanation:so u would just multiply the amount of change an hour by the amount of hours it changes which gives u the answer of -662.4.

The values for one, two, and three  standard deviations from the mean is 45.1, 53.2, 61.3 for upper value and 28.9, 20.8 and 13.7 for lower values.

One standard deviation from the mean:

Upper value =mean + 1\(\times\) standard deviation

                        =\(37 + 1 \times8.1 = 45.1\)

Lower value = mean - 1  \(\times\) standard deviation

                     =\(37 - 1 \times 8.1 = 28.9\)

Two standard deviations from the mean:

Upper value =  mean + 2 \(\times\)standard deviation

                      =\(37 + 2 \times8.1 = 53.2\)

Lower value= mean - 2 \(\times\) standard deviation

                                  =\(37 - 2 \times 8.1 = 20.8\)

Three standard deviations from the mean:

Upper value =  mean + 3\(\times\) standard deviation

                       =\(37 + 3 \times 8.1 = 61.3\)

Lower value =mean - 3\(\times\) standard deviation

                        =\(37 - 3 \times 8.1 = 13.7\)

The values for one, two, and three  standard deviations from the mean is 45.1, 53.2, 61.3 for upper value and 28.9, 20.8 and 13.7 for lower values.

The normal curve is attached below.

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Answer:

94.20 yds

Step-by-step explanation:

C = 2 pi r

     2 pi (15) = 94.20 yds

Length of the median of the triangle is b. 18

How to find the length of the median of a triangle?
Given that the centroid of a triangle is located 12 units from one of the vertices of a triangle. We need to find the length of the median of the triangle drawn from that same vertex.

Let ABC be a triangle.

Let AD be median of the triangle.

Let E be centroid of ΔABC

Length of the median of triangle = AD

AD = Length of AE + Length of ED

But,

AE = 12

ED = x

So,

AD = 12 + x

Since, centroid divides median in 2:1 ratio.

Then,

\(12 : x = 2 : 1\\12/x = 2/1\\\\12= 2x\\\)

Divide by 2 each side

\(x = 6\)

So,  AD = 12 + x = 12 + 6 = 18

Thus, Length of the median of triangle is 18.

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Answer:

30% of students do not plan to attend college.

Answer:

\(3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}\)

Answer:

No

Step-by-step explanation:

27 No

28.A

you are to read it maximum and minimum point on the vertical axis

Answer: 412 in

Step-by-step explanation: sorry if wrong

purple prism = y

green prism = x

136y in+ 276x in= 412

9514 1404 393

Answer:

  $7.50

Step-by-step explanation:

The monthly interest rate is 3%/12 = 1/4%. The dollar amount of interest earned in 3 months is ...

  I = Prt = $1000(0.0025/mo)(3 mo) = $1000(0.0075) = $7.50

We can select the range i12:i14 and simultaneously insert the frequency function in all of the cells to determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 This can be answered by the concept of Percentage.

To determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 and calculate the results as percentages, we need to select the range i12:i14 and insert the frequency function in all of the cells.

To follow the steps mentioned in the question, we need to perform the following:

Select the range i12:i14 by clicking on cell i12, dragging down to cell i14 while holding down the left mouse button.

Click on the formula bar at the top of the screen and type the following formula: "=FREQUENCY(Data!D2:D100,H12:H14)/COUNT(Data!D2:D100)*100". Here, "Data!D2:D100" is the range of data where the milestone goals are recorded, and "H12:H14" is the range of criteria we want to use to determine whether an employee has reached their milestone goal.

Press "Ctrl+Shift+Enter" to enter the formula as an array formula. This will insert the frequency function in all of the cells in the selected range.

The results will be displayed as percentages, which can be formatted using the percentage format option in the "Home" tab.

Therefore, by following these steps, we can select the range i12:i14 and simultaneously insert the frequency function in all of the cells to determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 and calculate the results as percentages.

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Answer:

The equation would be:

365(x)+27= 2582

*x represents the number of passengers

Protractor postulate: given any angle, we can express its measure as a unique real number from 0 to 180 degrees.

The protractor postulate is a fundamental concept in geometry that establishes a way to measure angles using a protractor. According to this postulate, every angle can be uniquely represented by a real number between 0 and 180 degrees.

A protractor is a geometric tool with a semicircular shape and marked degrees along its edge. To measure an angle using a protractor, we align the center of the protractor with the vertex of the angle and the baseline of the protractor with one side of the angle. We then read the degree measure where the other side of the angle intersects the protractor.

The protractor is divided into 180 degrees, with 0 degrees being the starting point at the baseline of the protractor, and 180 degrees being at the opposite end of the baseline. By aligning the protractor with an angle, we can determine its measure as a real number within this range.

For example, if we measure an angle using a protractor and find that the other side intersects the protractor at 45 degrees, we can express the measure of the angle as 45 degrees. Similarly, if the intersection point is at 90 degrees, the angle measure would be 90 degrees. The protractor postulate guarantees that these angle measures are unique within the range of 0 to 180 degrees.

It is important to note that the protractor postulate assumes that angles can be measured using a protractor and that the measurement is accurate and reliable. The postulate provides a consistent and standardized way to assign a numerical value to an angle, allowing for precise communication and comparison of angles in geometric contexts.

In summary, the protractor postulate establishes that the measure of any angle can be expressed as a unique real number between 0 and 180 degrees. This concept is fundamental in geometry and allows for the measurement, comparison, and communication of angles using a protractor.

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Answer:

p + (m × 1) = t

If a plant is already ___cm tall and it will grow one cm every month, an equation to find out how much the plant grew in __ months is this:

(Let t = total number of centimeters, m = number of months, and p = the length of the plant already.)

Therefore, the equation you can use is p + (m × 1) = t.

Answer:

2 units

Step-by-step explanation:

The number 2 is in the units place, so it's just 2.

The place value of 2 in 52.3 is ones place value.

Given,

52.3

We need to find which place value 2 represents in 52.3

The place value is given as:

Example: 246.89

2 - hundreds

4 - tens

6 - ones

8 - tenths

9 - hundredths

Find the place value of 2 in 52.3

We see that 2 is right before the decimal point.

2 is in ones place value.

Thus the place value of 2 in 52.3 is ones place value.

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Answer:

16.7 years

Step-by-step explanation:

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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The solutions to the equation x³ + 125 = 0 are x = -5. The equation x³ + 125 = 0 represents a cubic equation. To find the solutions, we can factor the equation using the sum of cubes formula. The sum of cubes formula states that a³ + b³ = (a + b)(a² - ab + b²).

In this case, we have x³ + 125, which can be expressed as (x)³ + (5)³.

Using the sum of cubes formula, we can factor the equation as follows:

x³ + 125 = (x + 5)(x² - 5x + 25)

Now we set each factor equal to zero and solve for x:

x + 5 = 0

This gives us x = -5.

x² - 5x + 25 = 0

This quadratic equation does not have real solutions since the discriminant (b² - 4ac) is negative. Therefore, we don't have any additional real solutions.

Hence, the solutions to the equation x³ + 125 = 0 are x = -5.

It's important to note that factoring is one method to solve cubic equations, but it may not always yield real solutions. In this case, the equation has only one real solution, which is x = -5. The other solutions involve complex numbers.

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The correct answer is B. 1/4

Probability can be found by dividing the favourable cases by the total possible cases.

So, the probability of getting a tail from a coin after being tossed is 1/2

The possible outcomes are,

There are total 4 outcomes out of which only the case of both tails is favourable.

So, the probability is 1/4.

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To calculate the interest earned in the account over five years, the couple will earn $5,948.17 in interest over five years.

To calculate the interest earned in the account over five years, we first need to determine the total amount of money deposited. The couple deposits $300 per month, so over five years (60 months), they will have deposited a total of $18,000 ($300 x 60).
Next, we need to calculate the future value of this investment using the formula:
FV = P * [(1 + r/n)^(n*t)]
where FV is the future value, P is the principal (or initial investment), r is the interest rate (6% in this case), n is the number of times interest is compounded per year (12 for monthly compounding), and t is the number of years (5 in this case).
Plugging in the numbers, we get:
FV = $18,000 * [(1 + 0.06/12)^(12*5)]
FV = $23,948.17
So after five years, the account will have a balance of $23,948.17.
To calculate the interest earned, we subtract the initial investment from the future value:
Interest earned = $23,948.17 - $18,000
Interest earned = $5,948.17
Therefore, the couple will earn $5,948.17 in interest over five years.

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Answer:

I don't believe they are similar. AA would be if the angles are equal or proportional. There would be lines indicating the sides to be equal, so not SSS theorem. For SAS, there's no equal sides or angles. So my best bet would be not similar

Answer:

A

the tiles add up to x^2 + 4x + 3

(x + 1) (x + 3)

factor it out, and you get x^2 + 4x + 3.

Answer:

8

Step-by-step explanation

we must find the total of the students to do that we look at when she grouped them in 7, 4 are left out so we multiple 4 miltiplied by 7 and we get 28, there are 4 left out so we add them. now we have a total of 32 students. 32 divided by 4 is 8

Answer:

it is a (1 , 1.5)

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

It's ( 1 , 1.5 ) because the lines are both

intersecting each other at that point.

Hope this helps! <3

Answer:

The equation is not true. It is actually c=30

Step-by-step explanation:

First you have to divide amount of money she's selling the candy bars for which is $2.50.

If her profit was $75, you want to know how much bars she sold, you will have to divide the amount of money she's selling the candy bars for and the amount she's earning which is $75 divided by $2.50 which is 30.

So c= 30

Answer: Filled circle at -1 shading to the left.

Step-by-step explanation:

-3x+3<6

     -3 -3

_________

-3x<3

-3x/-3     3/-3

=  -1

and the < sign means less than or equal to. Hope this helps!

Answer:Option D

Step-by-step explanation:

Step-by-step explanation:

Radius is 6 inches

Circumference is 37.68

Area is 113.0973