5,423,000 divided by 100,000 ( Please help ASAP)

Solution for given inequality is \(-5\leq x\leq -2\)

                                         or         \(x\) ∈ [ -5 , -2]

 a.) Solve  -24 <= 4x - 4 <= -12

Case I :

                      -24 <= 4x - 4                          

                     \(-24 + 4\leq 4x\)

                                       \(-20 \leq 4x\)

                                             \(\frac{-20}{4} \leq x\)

                                                    \(-5\leq x\)   ........ (I)

Case II :

                     4x - 4 <= -12

                      \(4x\leq -12+4\)

                           \(4x\leq -8\)

                              \(x\leq \frac{-8}{4}\)

                                 \(x\leq -2\)   ......................(II)

combining (I) and (II) we get,

                              \(-5\leq x\leq -2\)

b). graph of

                              \(-5\leq x\leq -2\) , refer the attachment

c). Solution in interval

                                   \(x\) ∈ [ -5 , -2]

To learn more about Inequality visit: https://brainly.com/question/20383699

#SPJ9

The total amount of soup mix is 50 cups. We arrived at this answer by simplifying the sum using the regrouping in step 3.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The commutative property of addition can be used to change the order of the addends.

The associative property of addition can be used to change the grouping of the addends.

We can regroup the addends in a way that makes the addition easier. For example, we can group the like terms together as follows:

(7 + 1) + (4 + 2 + 3 + 4 + 2 + 2) + (3 + 3 + 1 + 1) + (4 + 2 + 2 + 1) + (7 + 1)

This regrouping makes it easier to add the like terms together, since we can add the terms within each parentheses first, and then add the resulting sums together. For example, we have:

8 + 17 + 8 + 9 + 8

This simplifies to:

50

Therefore, The total amount of soup mix is 50 cups. We arrived at this answer by simplifying the sum using the regrouping in step 3.

To learn more about Algebraic expression from given link.

https://brainly.com/question/28884894

#SPJ1

================================================

Work Shown:

M = number of miles

L = cost to rent a luxury car = 1.15M + 16.40

E = cost to rent an economy car = 0.80M+10.95

C = difference in price

C = L - E

C = (1.15M + 16.40) - (0.80M+10.95)

C = 1.15M + 16.40 - 0.80M-10.95

C = 0.35M + 5.45

Don't forget to distribute the negative to each term in the second parenthesis.

-------------------

Optional Section:

Let's say you drove M = 100 miles as an example.

The luxury car would cost L = 1.15M+16.40 = 1.15*100+16.40 = 131.40 dollars to rent.

The economy car would cost E = 0.80M+10.95 = 0.80*100+10.95 = 90.95 dollars to rent.

The difference in rental costs is L-E = 131.40-90.95 = 40.45 dollars.

Or you could say C = 0.35M+5.45 = 0.35*100+5.45 = 40.45

This means you pay $40.45 more if you go for a luxury car instead of an economy car.

Answer:

see below

Step-by-step explanation:

123,116,109,102,95.

First find the common difference

d = 116 - 123 = -7

We are subtracting 7 each time

Using the formula

a1 = 123

d=-7

an = 123+ (n-1)(-7)

We need to find the 100th term

Let n = 100

a100 = 123 +(100-1) (-7)

         = 123+(99)(-7)

        = 123-693

        = -570

a. P(E) = 0.41.

b. P(C) = 0.29.

c.  P(L) = 0.26.

d. P(E and C) = 0.22.

To determine the probabilities, we can use the given information about the percentages of passengers who check work e-mail, use a cell phone, and bring a laptop on vacation.

a. P(E) represents the probability that a traveler on vacation checks work e-mail. According to the information provided, 41% of the passengers check work e-mail. Therefore, P(E) = 0.41.

b. P(C) represents the probability that a traveler on vacation uses a cell phone to stay connected. The information states that 29% of the passengers use a cell phone. Therefore, P(C) = 0.29.

c. P(L) represents the probability that a traveler on vacation brought a laptop. The given information indicates that 26% of the passengers bring a laptop. Therefore, P(L) = 0.26.

d. P(E and C) represents the probability that a traveler on vacation both checks work e-mail and uses a cell phone to stay connected. From the information provided, it is stated that 22% of the passengers fall into this category. Therefore, P(E and C) = 0.22.

Learn more about Probabilities at

brainly.com/question/32117953

#SPJ4

We can find (g/f)'(5) as: (g/f)'(5) = [-g(5)f'(5) + f(5)g'(5)]/[f(5)]² = [(-6)(7) - (-1)(5)]/(-1)² = -37.

Given that f(5) = -1, f'(5) = 7, g(5) = 6, and g'(5) = 5.

We need to find the following:(a) (fg)'(5) (b) (f/g)'(5) (c) (g/f)'(5) (a) (fg)' (5).

The product rule of differentiation is given as:$$\frac{d}{dx}[f(x)g(x)] = f(x)g'(x) + g(x)f'(x)$$.  We can find (fg)'(5) as: (fg)'(5) = f(5)g'(5) + g(5)f'(5) = (-1)(5) + (6)(7) = 41 (b) (f/g)'(5). The quotient rule of differentiation is given as: $$\frac{d}{dx}\left[\frac{f(x)}{g(x)}\right] = \frac{g(x)f'(x)-f(x)g'(x)}{g^2(x)}$$.

Therefore, we can find (f/g)'(5) as:(f/g)'(5) = [g(5)f'(5) - f(5)g'(5)]/[g(5)]² = [(6)(7) - (-1)(5)]/[6]² = 37/36(c) (g/f)'(5). The quotient rule of differentiation is given as:$$\frac{d}{dx}\left[\frac{g(x)}{f(x)}\right] = \frac{-g(x)f'(x)+f(x)g'(x)}{f^2(x)}$$.

To know more about differentiation visit :-

https://brainly.com/question/32046686

#SPJ11

Answer:

10/4 in simplest form 5/2

Step-by-step explanation:

Since 2 goes into 10 and 5 you divide 2 by those two numbers which gives you 5/2

Given:

The quadratic equation is:

\(10m^2-7m+3=0\)

To find:

The solutions for the given equation by using the quadratic formula.

Solution:

If a quadratic equation is \(ax^2+bx+c=0\), then the quadratic formula is:

\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

We have,

\(10m^2-7m+3=0\)

Here, \(a=10,b=-7,c=3\). Using the quadratic formula, we get

\(m=\dfrac{-(-7)\pm \sqrt{(-7)^2-4(10)(3)}}{2(10)}\)

\(m=\dfrac{7\pm \sqrt{49-120}}{20}\)

\(m=\dfrac{7\pm \sqrt{-71}}{20}\)

\(m=\dfrac{7\pm i\sqrt{71}}{20}\)             \([\because \sqrt{-a}=i\sqrt{a},a>0]\)

Therefore, the solution set of the given equation is \(\left\{\dfrac{7- i\sqrt{71}}{20},\dfrac{7+ i\sqrt{71}}{20}\right\}\). Hence, the correct option is D.

The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes

To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.

Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.

Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax.  Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.

Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows.  If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.

Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,

CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080.  NPV ≈ $824,179.  Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.

Therefore, the answers are:

a. Total outflows: $2,007,901

b. Total inflows: $827,080

c. Net present value: $824,179

d. Should the old issue be refunded with new debt? Yes

To learn more about tax, click here: brainly.com/question/31857425

#SPJ11

Answer: 5/4

Step-by-step explanation:

Ah yes terminal angles. I love these. Here's a formula to solve these.

With point P(x,y) and value r where r = square-root of x square + y square, we have:

Sin = y/r

Cos = x/r

Tan = y/x

Csc = r/y

Sec = r/x

Cot = x/y

so tan = y/x. here y = 5 and x = 4 so the answer is 5/4

Answer:

b. 5/4

Step-by-step explanation:

Without knowing the exact angle C, we cannot determine the value of tan θ.

However, we can use the coordinates of point P to determine the ratio of the opposite side to the adjacent side (which is equal to the value of tan θ).

Recall that in the coordinate plane, the x-coordinate represents the adjacent side and the y-coordinate represents the opposite side.

Therefore, in this case:

adjacent side = 4

opposite side = 5

tan θ = opposite/adjacent = 5/4

So, tan θ = 1.25.

1.25 = 5/4

The nearest whole number after rounding is, 14

Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.

To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.

If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.

If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.

For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.

Given that,

The decimal number  13.5,

after using rules of rounding,

it can be rounded as 14

Hence, the nearest whole number is 14

To know more about Rounding check:

https://brainly.com/question/29878750

#SPJ9

The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.

This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).

To know more about value click-
https://brainly.com/question/25184007
#SPJ1

The response times observed in the two experiments suggest that the cognitive demands of the two tasks differ, with the second task being more cognitively demanding than the first.

The very short response times of less than 100 milliseconds observed in the lab might be due to several factors. One possibility is that the participant has developed a prepotent response that is initiated almost automatically upon presentation of the stimulus. This means that the participant has become so familiar with the task that their response is almost reflexive, requiring little cognitive processing. Another possibility is that the stimulus presented was so salient or intense that it elicited an immediate and involuntary response from the participant. In the second experiment where participants say the word "now" as soon as they detect the green circle, the response times were between 100 and 200 milliseconds. This suggests that the cognitive tasks involved in this version of simple detection may require more conscious effort and attention than the tasks in the first experiment. Participants in the second experiment had to actively detect the presence of the green circle and make a conscious decision to say "now", whereas in the first experiment their response may have been more automatic. Therefore, the response times observed in the two experiments suggest that the cognitive demands of the two tasks differ, with the second task being more cognitively demanding than the first.

Learn more about cognitive demands here

https://brainly.com/question/3501299

#SPJ11

0. This function needs to be defined at one given point.

1. There must be a limit for this function

2. The value of the, limit of that function, at that point must be the same as the, value of that function, at that point.

1) There are three conditions that must be satisfied so that we can tell that one given function is continuous at a given point.

2) This function needs to be defined at one point, in other words, there must be a value linking that point in the Domain to another one in the Range.

There must be a limit as x approaches that point from left and from the right.

Finally, the value of the limit of that function as x approaches that point must be the same as the value of that point.

3) Hence, the answer is:

0. This function needs to be defined at one given point.

1. There must be a limit for this function

2. The value of the limit must be the same as the value of that function at that point.

Answer:

$3,000

Step-by-step explanation:

30 children each earned $100

so

\(30 *100 = 3000\)

so the school collected $3,000

So, the length of the side of the square is approximately 7.09 cm.

A circle is a two-dimensional closed shape with all points on the edge of the circle equidistant from its center. The distance between the center of the circle and its edge is called the radius. The diameter is a straight line that passes through the center of the circle and has its endpoints on the edge of the circle, and it is twice the length of the radius. The circumference is the distance around the edge of the circle, which is equal to 2 times the radius times pi (π). The area of a circle is the amount of space inside the circle and is equal to pi (π) times the square of the radius.

Here,

The diameter of the circle is 8 cm, so the radius is 4 cm (half of the diameter).

The area of the circle is:

A = πr² = 3.14 × 4² = 50.24 cm²

Since the yellow shaded area is 1/4 of the area of the square, the area of the square is:

A(square) = 4 × A(yellow) = 4 × (1/4) × A(square) = A(square)

Therefore, the area of the square is equal to the area of the circle, which is 50.24 cm².

Since the area of a square is A(square) = s², where s is the length of a side of the square, we have:

s² = 50.24

Taking the square root of both sides, we get:

s ≈ 7.09 cm

To know more about circle,

https://brainly.com/question/26533660

#SPJ1

Answer:

jk= 10 units

kl= 5 units

Step-by-step explanation:

just trust me lol

Answer:

JK = 10 units
KL = 5 units

Step-by-step explanation:

JK + KL = JL

When doing these types of problems, always try to solve the unknown variable before you solve the equations.

Solve for x:

-x + 15 + 2x - 5 = 15

x + 10 = 15

x = 5

Now plug in the x into the 2 equations,

JK = - (5) + 15

JK = 10 units

KL = 2(5) -5

KL = 10 - 5

KL - 5 units

i hope this helps you! :D

Answer:

=2.79×10^23

Step-by-step explanation:

Multiply the 2 numbers is all you need to do, but that can be difficult as the 2 numbers are in scientific form / standard form :

So convert one of the numbers into a number in non-standard form but with the same power as the other (Got that ? Let me show you below) :

Each person has 3.72×10^13 cells

Population is 7.5×10^9

Let's make the top number / number of cells to the power of 9 instead of 13 :

3.72×10^13 = 37.2×10^12 = 372×10^11 = 3720×10^10 = 37200×10^9

Now we have :
37200×7.5×(1×10^9)²

The reason it's squared as both population and cells are now to power of 9 .

=2.79×10^23

Hope this helped and have a good day

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

To learn more about the total cost click here:

https://brainly.com/question/2433744

#SPJ1

The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Jim spent 4.5 hours on the bicycle.

Let's assume that Jim spent x hours riding his bicycle. Since the total trip took 6 hours, the time he spent walking can be calculated as the difference between the total trip time and the time spent riding the bicycle, which is 6 - x.

To calculate the distance Jim covered while riding the bicycle, we can use the formula:

Distance = Speed × Time

The distance covered while riding the bicycle is 37x miles.

Since the total trip distance is 174 miles, we can set up the equation:

37x + 5(6 - x) = 174

Expanding the equation:

37x + 30 - 5x = 174

Combining like terms:

32x + 30 = 174

Subtracting 30 from both sides:

32x = 144

Dividing by 32:

x = 4.5

In conclusion, Jim spent 4.5 hours riding his bicycle during the 174-mile trip.

for more such questions on distance

https://brainly.com/question/26046491

#SPJ8

The solution identity of the equation given as 1/3(t + 6) -10 = -3t + 2 is that it has one solution

The equation is given as:

1/3(t + 6) -10 = -3t + 2

Multiply both sides of the equation by 3

(t + 6) -30 = -9t + 6

Remove the brackets

t + 6 -30 = -9t + 6

Subtract 6 from both sides

t - 30 = -9t

Subtract t from both sides of the equation

-10t = -30

Divide by -10

t = 3

Hence, the solution identity of the equation given as 1/3(t + 6) -10 = -3t + 2 is that it has one solution

Read more about equation solutions at:

https://brainly.com/question/2972832

#SPJ1

Answer:

x = 1

Step-by-step explanation:

For this problem, we are simply solving for x, and analyzing the results of the two students.  First let's solve for x ourselves:

5 ( x + 3 ) = 20

5 ( x + 3 ) * ( 1 / 5 ) = 20 * ( 1 / 5)

x + 3 = 4

x + 3 + -3 = 4 + -3

x = 1

So we know the solution for this equation is x = 1.

Now let's look at the solutions of the two students.  Alex's "divide first" way is correct since it follows the proper order of operations.  The order of operations are simply a way in which to simplify problems correctly.  Here is the order of things to handle first:

Parenthesis --> Exponents -->  Multiplication (Division) --> Addition (Subtraction)

Looking at Morgan's "subtract first" way, we know that he has violated the order of operations.  For this specific problem, the distributive property of multiplication is ignored in Morgan's approach, resulting in an incorrect answer.

I hope this helps.

Cheers.

Therefore , the solution of the given problem of linear equation comes out to be 550 minutes she can use her cell phone.

A linear regression model is one that conforms to the algebraic equation y=mx+b. The slope is B, and the y-intercept is m. The previous clause is usually referred to as an "mathematical equation having two variables because both y and x are unique parameters. Two variables make up bivariate linear equations. Linear equations have a variety of applications, all of which have a zero outcome. Y=mx+b, where m stands for the gradient and b for the y-intercept, is the formula for a linear equation.

Here,

Given : 55=0.1(m-500)+50

where m is the number of minute

=> 55=0.1(m-500)+50

=> 55=0.1m-50+50

=>55=0.1m-0

=>55-0=0.1

=>55=0.1

=>0.1=0.1

=>550=m

Therefore , the solution of the given problem of linear equation comes out to be 550 minutes she can use her cell phone.

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ4

A. 7658.8 hr/year

B. 4.082 hr/year

C. 99206 kwh

Moreover, The annual average wind speed was calculated directly at 4.56 m/s. Using the Weibull distribution, the annual wind speed is 4.55 m/s, while using the Rayleigh distribution it is 4.523 m/s. The annual wind power density was directly calculated to be 114.54 W/m2.

You can learn more about this through link below:

https://brainly.com/question/22610586#SPJ4

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Triangle STU is a right triangle.

Thus,

We find :

sides s,t and u

the relationship between them is :

As it is a right triangle

So,

According to the pythagoras theorem,

=>u²= t²+s²

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

Decimal--x= -1.39

Fraction--x= -139/100

Step-by-step explanation:

You want to get x by itself in this problem

You have to distribute the 3 into the parenthesis first

1.2/8=15x+21

Now you can do 2 of either things....you can either divide 1.2/8 and then subtract 21 from both sides or you can just subtract 21 from both sides without dividing. I will use option 2.

1.2/8-21=15x+21-21

So now you cancel out the 21 on the right side and get...

-20.85=15x

Now divide by 15

-1.39=x in fraction form -139/100=x

Hope this helped!

Answer:

x = 5 - y/3

Step-by-step explanation:

Answer: 12 days

Step-by-step explanation:

Based on the question, we have to list the multiples of 3 and 4. This will be:

3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.

The lowest common multiple is 12.

It will take 12 days before Korey runs and swims again on the same day.