Imena earned $261 last week. If she worked 18 hours and earned the same amount each hour, how much was she paid per hour?

Answer:

I strongly believe that NPV of the project is the requirement of this question:

NPV is -$486.82

Step-by-step explanation:

The NPV is the present value of the future cash flows from year 1 through year 6 minus the initial capital investment of GH30,000

The cash flow discount factor =1/(1+r)^n

r is the opportunity cost of capital at 10%

n is the relevant year of each cash flow

NPV=-30,000+9000/(1+10%)^1+8000/(1+10%)^2+7000/(1+10%)^3+6000/(1+10%)^4+5000/(1+10%)^5+4000/(1+10%)^6=-$486.82

The project is not viable since NPV is negative

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

for such more question on volume

https://brainly.com/question/6204273

#SPJ8

Answer:d

Step-by-step explanation:

Count all the options and put that as the bottom number which is 6

Answer:

m = - 5

Step-by-step Explanation:

\(-3(1-5m)=-38+8m \\ \\ - 3 + 15m = - 38 + 8m \\ \\ 15m - 8m = 3 - 38 \\ \\ 7m = - 35 \\ \\ m = \frac{ - 35}{7} \\ \\ \huge \purple{ \boxed{m = - 5}}\)

Answer:

-5

Step-by-step explanation:

Answer:

  x = -9/2 or -5/3

Step-by-step explanation:

The given equation is recognizable as a quadratic in the expression (2x+4). It may be more easily solved by substituting a variable for that expression.

__

Let z = 2x+4. Then the equation becomes ...

  6z² = z +2

  6z^2 -z -2 = 0

This equation can be factored by finding factors of (6)(-2) that total -1.

  (6z -4)(6z +3)/6 = 0

  (3z -2)(2z +1) = 0 . . . . . eliminate the fraction

The values of z that make these factors zero are ...

  3z -2 = 0   ⇒   z = 2/3

  2z +1 = 0   ⇒   z = -1/2

The relation between x and z tells us ...

  z = 2x +4

  (z -4)/2 = x

For the values of z we have, the corresponding x-values are ...

  z = 2/3   ⇒   (2/3 -4)/2 = x = -10/6 = -5/3

  z = -1/2   ⇒   (-1/2 -4)/2 = x = -9/4

Solutions to the equation are x=-9/4 and x=-5/3.

_____

Additional comment

Alternatively, the equation could have been expanded to standard form and then factored.

  6(4x² +16x +16) = 2x +6

  24x² +94x +90 = 0 . . . . put in standard form

  12x² +47x +45 = 0 . . . . factor out 2

  (4x +9)(3x +5) = 0 . . . . factor (judged harder than the above factoring)

Answer:

Step-by-step explanation:

mid point = a+b/2

let b(x,y)

-2 = [7+x]/2                      3 = [-6+y]/2

-4 = 7 + x                          6 = -6 + y

-11 = x                                12 = y

Hence B is at (-11,12)

Answer:

x = 11

Step-by-step explanation:

8x - 8 + 30 = 11x -11

3x = 33

x = 11

Answer:

x=11

Step-by-step explanation:

8x-8+30+11x-11

3x=33

x=11

hehe the same as her/him

5 pounds - 1.89

3 pounds - 1.99

1 pound - 2.05

In this case, the 5 pounds of chicken is the cheapest by exactly one dime.

Answer:

positively skewed to the right

Step-by-step explanation:

The measure of the central tendency is a profound way to describe the mean, median and mode. The measure of central tendency indicates where the center of distribution tends to be. The measure of central tendency provide a validity and answers whether the scores are high or generally low.

In this measure,The mean is usually pulled to the tail. The skewed is determined by where the tail goes, to the right side , it is positively skewed  and to the left side , it is known as negatively skewed distribution.

Given that:

In a frequency of distribution of 290 scores,

the mean  = 99

the median = 86

One would expect this distribution to be; positively skewed to the right  since the mean value is greater than the median value.

Answer:

Sponge Bob Square Pants!

Absorbent and yellow and porous is he.

Sponge Bob Square Pants!

If nautical nonsense be somethin' ya wish.

Sponge Bob Square Pants!

Then drop on the deck and flop like a fish.

Sponge Bob Square Pants!

Ready?

Sponge Bob Square Pants,

Sponge Bob Square Pants,

Sponge Bob Square Pants,

Sponge Booob Square Paaants!

Ah Ha Ha, Ha Ha Ha, Ha, hArgh wh..arire..Ha arrrigh.

Step-by-step explanation:

We need to know conversion of units to solve the given problem. The density of the material in grams per quart is 136.35 grams per quart.

We have been given the density of a certain material in pounds per cubic foot of volume. The density is 9 pounds per cubic foot of volume. We need to convert pounds per cubic foot to grams per quart, we need to separately convert pounds to grams and convert cubic foot to quart. Since it is density so we need to divide the value of pound in gram by the value of one cubic foot in quart and multiply the density to this value to get the desired result.

1 pound=453.592 grams

1 cubic foot= 29.94 quart

9 pounds per cubic foot= 9x 453.592/29.94=136.35 grams per quart

Therefore the density of the material in grams per quart is 136.35 grams per quart.

Learn more about conversion of units here:

https://brainly.com/question/2725413

#SPJ1

Answer:

C. How tightly the molecules in a glass of water are packed together

Step-by-step explanation:

Volume of a substance is different according to the state of the matter.

So for a water molecule, the volume of the the water is definite and can be measured by the container which is the glass cup

So volume can be the measure of how tight the molecule of that substance ate together.

Answer:

a

   \(\= x = 18.5\)  ,  \(\sigma = 5.15\)

b

 \(15.505 < \mu < 21.495\)

c

 \(14.93 < \mu < 22.069\)

Step-by-step explanation:

From the question we are are told that

    The  sample data is  21, 14, 13, 24, 17, 22, 25, 12

     The sample size is  n  = 8

Generally the ample mean is evaluated as

        \(\= x = \frac{\sum x }{n}\)

        \(\= x = \frac{ 21 + 14 + 13 + 24 + 17 + 22+ 25 + 12 }{8}\)

         \(\= x = 18.5\)

Generally the standard deviation is mathematically evaluated as

         \(\sigma = \sqrt{\frac{\sum (x- \=x )^2}{n}}\)

\(\sigma = \sqrt{\frac{\sum ((21 - 18.5)^2 + (14-18.5)^2+ (13-18.5)^2+ (24-18.5)^2+ (17-18.5)^2+ (22-18.5)^2+ (25-18.5)^2+ (12 -18.5)^2 )}{8}}\)

\(\sigma = 5.15\)

considering part b

Given that the confidence level is  90% then the significance level is evaluated as

         \(\alpha = 100-90\)

         \(\alpha = 10\%\)

         \(\alpha = 0.10\)

Next we obtain the critical value of  \(\frac{ \alpha }{2}\)  from the normal distribution table the value is  

     \(Z_{\frac{ \alpha }{2} } = 1.645\)

The margin of error is mathematically represented as

      \(E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)

=>    \(E =1.645 * \frac{5.15 }{\sqrt{8} }\)

=>     \(E = 2.995\)

The 90% confidence interval is evaluated as

       \(\= x - E < \mu < \= x + E\)

substituting values

       \(18.5 - 2.995 < \mu < 18.5 + 2.995\)

       \(15.505 < \mu < 21.495\)

considering part c

Given that the confidence level is  95% then the significance level is evaluated as

         \(\alpha = 100-95\)

         \(\alpha = 5\%\)

         \(\alpha = 0.05\)

Next we obtain the critical value of  \(\frac{ \alpha }{2}\)  from the normal distribution table the value is  

     \(Z_{\frac{ \alpha }{2} } = 1.96\)

The margin of error is mathematically represented as

      \(E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)

=>    \(E =1.96 * \frac{5.15 }{\sqrt{8} }\)

=>     \(E = 3.569\)

The 95% confidence interval is evaluated as

       \(\= x - E < \mu < \= x + E\)

substituting values

       \(18.5 - 3.569 < \mu < 18.5 + 3.569\)

       \(14.93 < \mu < 22.069\)

Answer:

See below

Step-by-step explanation:

The coordinates of the other 3​ vertice s are; Vertex 2 =  (0.5​, 2.5)

Vertex 3 =  (2, 1), Vertex 4 =(2, 2.5 )

Its the sum of length of the sides used to made the given figure.

Given that the Perimeter, P = 6 units

The Perimeter of a square = 4s ; s = side length

6 = 4s

s = 6/4

s = 1.5 units

If Vertex 1 =(0.5​,1​) and all vertexes are located in Quadrant​ I

Vertex 2 = (0.5​,1 + 1.5​) =(0.5​, 2.5)

Vertex 3 = (0.5 + 1.5 ​,1​) = (2, 1)

Vertex 4 = (2, 1 + 1.5) = (2, 2.5 )

Learn more about perimeter here:

https://brainly.com/question/10466285

#SPJ1

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

Read more about Trigonometric ratios at: https://brainly.com/question/13276558

#SPJ1

You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.

Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.

The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:

Cost of bananas = AED 7.35 * 1.4 = AED 10.29

The total cost of apples is given by the equation:

Cost of apples = $10.20 * x

The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:

Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15

Substituting the known values, we have:

(10.29 + 10.20 * x) / (1.4 + x) = 8.15

Cross-multiplying and simplifying, we get:

10.29 + 10.20 * x = 8.15 * (1.4 + x)

Expanding the equation, we have:

10.29 + 10.20 * x = 11.41 + 8.15 * x

Rearranging the equation, we get:

10.20 * x - 8.15 * x = 11.41 - 10.29

1.05 * x = 1.12

Dividing both sides by 1.05, we find:

x = 1.12 / 1.05

x ≈ 1.067

for more such questions on equation

https://brainly.com/question/22688504

#SPJ8

Answer:

n ÷ 5 - 16

Step-by-step explanation:

To solve this, we have to represent the words using numbers. Since we don't know the value of "a number," we can just represent it using the letter "n"

A quotient is the answer to a division problem, so the "quotient of a number and 5" is just a number divided by 5

Then, "sixteen less than" means subtract by sixteen.

Using this knowledge, we can make the equation:

n ÷ 5 - 16

The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

Learn more about inverse of equation here: https://brainly.com/question/29390335

#SPJ1

Answer:

  5.1% increase

Step-by-step explanation:

You want the percentage change in price per load when the price of detergent went from $16.99 for 52 loads to $16.49 for 48 loads.

The percentage change is given by the formula ...

  ((new price)/(old price) -1) × 100%

The price per load is found by dividing the price of the bottle of detergent by the number of loads it will wash.

  old price per load = $16.99/52 ≈ $0.32673

  new price per load = $16.49/48 ≈ $0.34354

Then the percentage change is ...

  (0.34354/0.32673 -1) × 100% ≈ 0.05145 × 100% ≈ 5.1%

The price per load has increased by about 5.1%.

The corresponding point on the graph is (1, 0).These values of x and y correspond to the points on the given graph,

The given graph can be represented by parametric equations of the form x = cos(t) and y = sin(2t) , where t is a parameter. To verify that these equations satisfy the graph,

we can substitute t in the given equations and check if the resulting values of x and y correspond to the points on the graph. Let's take some values of t to see how the graph looks like:For t = 0, we have x = cos(0) = 1 and y = sin(0) = 0.

Therefore, the corresponding point on the graph is (1, 0).For t = π/6, we have x = cos(π/6) = √3/2 and y = sin(2π/6) = sin(π/3) = √3/2.

Therefore, the corresponding point on the graph is (√3/2, √3/2).For t = π/3, we have x = cos(π/3) = 1/2 and y = sin(2π/3) = sin(4π/3) = -√3/2.

Therefore, the corresponding point on the graph is (1/2, -√3/2).For t = π/2, we have x = cos(π/2) = 0 and y = sin(π) = 0.

Therefore, the corresponding point on the graph is (0, 0).For t = 2π/3, we have x = cos(2π/3) = -1/2 and y = sin(4π/3) = sin(-2π/3) = -√3/2.

Therefore, the corresponding point on the graph is (-1/2, -√3/2).For t = 5π/6, we have x = cos(5π/6) = -√3/2 and y = sin(2π/3) = sin(4π/3) = -√3/2.

Therefore, the corresponding point on the graph is (-√3/2, -√3/2).For t = π, we have x = cos(π) = -1 and y = sin(2π) = sin(0) = 0.

Therefore, the corresponding point on the graph is (-1, 0).For t = 7π/6, we have x = cos(7π/6) = -√3/2 and y = sin(4π/3) = sin(-2π/3) = √3/2.

Therefore, the corresponding point on the graph is (-√3/2, √3/2).For t = 4π/3, we have x = cos(4π/3) = -1/2 and y = sin(5π/3) = sin(π/3) = √3/2.

Therefore, the corresponding point on the graph is (-1/2, √3/2).For t = 3π/2, we have x = cos(3π/2) = 0 and y = sin(6π/2) = sin(π) = 0.

Therefore, the corresponding point on the graph is (0, 0).For t = 5π/3, we have x = cos(5π/3) = 1/2 and y = sin(5π/3) = sin(π/3) = √3/2.

Therefore, the corresponding point on the graph is (1/2, √3/2).For t = 11π/6, we have x = cos(11π/6) = √3/2 and y = sin(5π/3) = sin(π/3) = √3/2.

Therefore, the corresponding point on the graph is (√3/2, √3/2).For t = 2π, we have x = cos(2π) = 1 and y = sin(4π) = sin(0) = 0.

so we can conclude that the graph can be represented by the parametric equations x = cos(t) and y = sin(2t).

To learn more about : graph

https://brainly.com/question/19040584

#SPJ8

Option 3 yielded the most money after 10 years is 171.7

Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

A solution of an equation is a value or set of values that satisfy the equation, meaning that when the value(s) is substituted for the variable(s) in the equation, both sides of the equation are equal.

Based on the given equations, Option 1 yielded the most money after 10 years, and Option 3 yielded the most total money by the time you were 60 years old.

After 10 years:

Option 1: 50×(1.09)¹⁰ - 30 =  88.36

Option 2: 50×(1.08)¹⁰ - 20 =  87.94

Option 3: 100×(1.07)¹⁰ - 25 =  171.71

Therefore, Option 3 yielded the most money after 10 years is 171.7

By the time you were 60 years old:

Option 1: 50×(1.09)⁶⁰ - 30 =  8,771.56

Option 2: 50×(1.08)⁶⁰ - 20 =  5,042.85

Option 3: 100×(1.07)⁶⁰ - 25 =  5,769.64

Therefore, Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

To know more about quadratic equation, visit:

https://brainly.com/question/1214333

#SPJ1

a:1/6×18/1=18/6 when simplified is 3

b:4/6×18/1=72/6 when simplified is 12

c.The relationship between the number of students with brown hair and the number of students with red hair is that they are equivalent to one another.

Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).

Answer:

Here,

-18.3=b+ -8.3

-18.3+8.3=b

-10=b

the value of b is -10.

Answer:

9^2 + 12^2 = c^2

81 + 144 = c^2

√15 = √c^2

c = 15

Step-by-step explanation: