Question 3 The sales and finance team of a car company is evaluating a new proposed luxury model of its brand that will require an investment of $1Billion in a new machine for car interior decoration. Demand for the company’s car is expected to begin at 100,000 units in year 1, with 10% annual growth thereafter. Production cost will be $35,000 per unit in the first year, and increase by a rate of either 3% or 5% per year as a result of wage increase. Selling price will start at $37,000 and increase by 4% of the production cost. The model will be phased out at the end of year 10. In addition, 0.3%, 2% and 1.5% of before tax profit per year will be spent on social corporate responsibility, commercial (including promotions) and recalls respectively. Assume taxes will be 30% of yearly profit and that inflation will remain at 0% per year throughout the 10 year of production. Also assume interest rate is expected to be 3% per year in the first 5 years and 5% in the last 5 years. a. Based on present worth analysis, is the proposed investment profitable if production cost increases by a rate of 3% per year as a result of wage increase? Justify your answer. (15 marks) b. Based on present worth analysis, is the proposed investment profitable if production cost increases by a rate of 5% per year as a result of wage increase? Justify your answer.

Answer:An equation in the slope-intercept form is written as

y=mx+b

Where m is the slope of the line and b is the y-intercept. You can use this equation to write an equation if you know the slope and the y-intercept.

Example

Find the equation of the line

Choose two points that are on the line

Calculate the slope between the two points

m=y2−y1x2−x1=(−1)−33−(−3)=−46=−23

We can find the b-value, the y-intercept, by looking at the graph

picture28

b = 1

We've got a value for m and a value for b. This gives us the linear function

y=−23x+1

In many cases the value of b is not as easily read. In those cases, or if you're uncertain whether the line actually crosses the y-axis in this particular point you can calculate b by solving the equation for b and then substituting x and y with one of your two points.

We can use the example above to illustrate this. We've got the two points (-3, 3) and (3, -1). From these two points we calculated the slope

m=−23

This gives us the equation

y=−23x+b

From this we can solve the equation for b

b=y+23x

And if we put in the values from our first point (-3, 3) we get

b=3+23⋅(−3)=3+(−2)=1

If we put in this value for b in the equation we get

y=−23x+1

which is the same equation as we got when we read the y-intercept from the graph.

To summarize how to write a linear equation using the slope-interception form you

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Once you've got both m and b you can just put them in the equation at their respective position.

Answer:

2x^2-x+4

Step-by-step explanation:

2x^2-x+4 because they are not like terms so u cant simplify it

Answer:

y+1/2= 3(x - 2)

Step-by-step explanation:

The slope can be seen to be 3 by factoring out each of the right sides.  Only a and c have a slope of 3.  Next if the point (2,-1/2) is plugged into the equation of c then you get an answer of 0=0.  Beacuse both sides are equal when the point desired is plugged in it is the correct answer.

Answer: C

Step-by-step explanation:

I took the test

the horizontal is the graph function of x

Answer:

x =348 ^ (1/7)

Step-by-step explanation:

x^7-116=232

Add 116 to each side

x^7-116+116=232+116

x^7 =348

Take the 7th root each side

x^7 ^ 1/7 = 348 ^ (1/7)

x =348 ^ (1/7)

Answer  c = (a-b)/d

Step-by-step explanation:

subtract b and divide by d

Answer:

Step-by-step explanation:

50^2 is 2500, 3 times that is 7500, minus 1 and the answer would be 7499

Answer:

7 positive integer solutions

Step-by-step explanation:

3(x-5)≤7

Distribute

3x - 15 ≤7

Add 15 to each side

3x-15+15≤7+15

3x≤22

Divide by 3

3x/3 ≤22/3

x≤7 1/3

Positive integer solutions

1,2,3,4,5,6,7 = 7

0 is neither positive nor negative

Answer:

Improper fraction = 10/3 cups

Mixed fraction = 3 1/3 cups

Step-by-step explanation:

Given;

Sam uses 2/3 cup of sugar to make cookies

Rate = 2/3 cup per batch

To make 5 batches, he would need;

Amount = number of batches × rate per batch

Amount = 5 batches × 2/3 cups per batch

Amount of sugar he would need = 10/3 or 3 1/3 cups

Answer: The answer is 23

Step-by-step explanation:

Good luck

Answer:

the answer is-

Step-by-step explanation:

42.5% and the estimation is 43%

Answer:

42.5%

Step-by-step explanation:

17/40 = 0.425

Move decimal to the tenths place.

0.425 --> 42.5

Answer:

9 × (1 × 4) = (9 × 1) × 4

Step-by-step explanation:

Number 3 because the associative property states that it doesn't matter how you add / multiply something in sets.

9 × (1 × 4) = (9 × 1) × 4 shows 9 × 1 × 4 in 2 ways with 2 sets.

Answer:

9 × (1 × 4) = (9 × 1) × 4 is the answer because it means you can group in any combination

Step-by-step explanation:

9 × (1 × 4) = (9 × 1) × 4

Answer:

Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.

Step-by-step explanation:

An equilateral triangle would have three sides that are all the same length, out of these options, only using the distance formula to calculate the length of all three sides and checking whether they are all congruent will make sure that the triangle is equilateral instead of just isosceles.

Answer:

The alternative interior angles theorem.

Step-by-step explanation:

The alternate interior angles theorem states that, when two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

The simplified value is 8*cos^4(x) = 3+ 4 cos2x + cos 4x.

The trigonometric power reduction identities allow us to rewrite expressions involving trigonometric terms with trigonometric terms of smaller powers. This becomes important in several applications such as integrating powers of trigonometric expressions in calculus.

Given:

Using the power reduction identity, we have that:

cos² x= 1/2( 1+ cos 2x)

cos^4(x) = (cos² x)²= (1/2( 1+ cos 2x))²

cos^4(x) =  1/4( 1+ cos² 2x+ 2 cos (2x))

Again, cos² 2x= 1/2( 1+ cos 4x)

cos^4(x) =  1/4( 1+ 1/2( 1+ cos 4x)+ 2 cos (2x))

cos^4(x) =  1/4( 1+ 1/2 +1/2 cos 4x+ 2 cos (2x))

cos^4(x) =  1/4( 3/2 + 2 cos2x + 1/2 cos 4x)

8*cos^4(x) =  8*1/4( 3/2 + 2 cos2x + 1/2 cos 4x)

8*cos^4(x) =  2( 3/2 + 2 cos2x + 1/2 cos 4x)

8*cos^4(x) = 3+ 4 cos2x + cos 4x

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Answer:

32 cm^3

Step-by-step explanation:

The cube is 4 across by 4 high by 2 wide

4*4*2 = 32 cm^3

Answer:

[tex]32cm^3[/tex]

Step-by-step explanation:

[tex]V=whl=2*4*4=32cm^3[/tex]

Answer:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

Step-by-step explanation:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

Answer:

66.25m

Step-by-step explanation:

66.25 metres is the correct answer

Answer:

angle BAC = 57.84°

Step-by-step explanation:

To find angle BAC given AB=6cm    BC= 13 cm   and ACB=23°

we will follow the steps below;

we can use the sine formula to solve the problem given

[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin C}{c}[/tex]

from the question given;

A = ?

C = 23°

c=AB  = 6 cm

a=BC = 13 cm

substitute the values into the formula above

[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin C}{c}[/tex]

[tex]\frac{sin A}{13}[/tex]  =  [tex]\frac{sin 23}{6}[/tex]

cross -multiply

6 sinA =  13 sin23°

sin A = 13 sin23°  /  6

sin A = 0.84658

take the [tex]sin^{-1}[/tex] of both-side

[tex]sin^{-1}[/tex] sin A =  [tex]sin^{-1}[/tex] (0.84658)

on the left-hand side of the equation [tex]sin^{-1}[/tex] will cancel-out sin leaving us with just A

A =  [tex]sin^{-1}[/tex] (0.84658)

A ≈ 57.84°

angle BAC = 57.84°

Answer:

The answer is B

Answer & Step-by-step explanation:

In order to solve this problem, we are going to have to divide. Since the triangles are similar, then that means that we are going to have to find the ratio between the sides which will also be our scale factor.

We can divide 75 by 15 since they are corresponding sides. Once we find the ratio between the sides, then we can conclude that the scale factor would be that number.

75 / 15 = 5

So, the scale factor of XYZ to UVW is 5.

The scale factor of [tex]Xyz[/tex] to [tex]UVW[/tex] is 5.

The ratio that we get when you divide corresponding side lengths of similar figures is called the scale factor.

According to the given question.

We have a two triangles Xyz and UVW. And both the triangles are similar to each other.

In triangle Xyz we have

[tex]Xy = 60[/tex]

[tex]yz = 75[/tex]

and

[tex]zX = 90[/tex]

Also, in triangle UVW we have

[tex]UV = 12[/tex]

[tex]VW = 15[/tex]

and, [tex]WU = 18[/tex]

Therefore, the scale factor of Xyz to UVW is given by

[tex]\frac{Xy}{UV} =\frac{yz}{VW} =\frac{zX}{WU}[/tex]

⇒ [tex]\frac{60}{12} =\frac{75}{15} =\frac{90}{18} =5[/tex]

Hence, the scale factor of [tex]Xyz[/tex] to [tex]UVW[/tex] is 5.

Thus option B is correct.

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Answer:

9000 lbs

Step-by-step explanation:

Since the amounts are already weighed, we just have to add all the weights together to find the total weight.

3200 + 5100 + 700 = 9000

Remember to leave it in pounds (lbs).

Answer:

eric

Step-by-step explanation:

just took the test

Answer:

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

Step-by-step explanation:

Moonlight Hall:

Fixed cost = $1000

Cost per guest = $75

Cost of 'n' guests = 75 [tex]\times n[/tex]

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

[tex]\Rightarrow 1000 + 75 \times n[/tex]

Riverside Hall:

Fixed cost = $1500

Cost per guest = $50

Cost of 'n' guests = 50 [tex]\times n[/tex]

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

[tex]\Rightarrow 1500 + 50 \times n[/tex]

Hence, Answer 1:

a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: Coordinates of solution:

Option c. (20,2500) satisfies both the equation.

When there are 20 number of guests, the cost of both moonlight and riverside hall comes out to be 2500.

Moonlight Hall cost

[tex]75 \times 20 + 1000\\\Rightarrow \$2500[/tex]

Riverside Hall cost

[tex]50 \times 20 + 1500\\\Rightarrow \$2500[/tex]

Answer 3: c. When there are 20 guests attending the price is $2500.

The solution is done in Answer 2.

So,

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

Answer:

468

Step-by-step explanation:

8/4*234=2*234=468

Answer:

468

Step-by-step explanation:

5+3/ 4 =2

2*234=468

Answer:

x = 9

Step-by-step explanation:

→Looking at the angles, you can see that a right angle is formed. This means that there must be another right angle (90 degrees) formed with the numbers. You can set up the equation, like so:

3x + 6 + 57 = 90

→Add like terms (6 and 57):

3x + 63 = 90

→Subtract 63 from both sides:

3x = 27

→Divide both sides by 3:

x = 9

Answer:

x=9

Step-by-step explanation:

a right angle is 90 degrees

90-57= 33

33-6=27

27/3 = 9

Its my request to you to mark this as the brainiest

Answer:

1, 3, 9, 27, 81, is a geometric sequence.

Step-by-step explanation:

A geometric sequence is basically a sequence of numbers that's multiplied by or divided one specific set number each time.

0, 2, 6, 12, 72, does not have a set number it is multiplied or divided by each time.

4, 9, 14, 19, 24, adds 5 each time, it doesn't multiply

Answer:

D - 1, 3, 9, 27, 81, . . .

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\dfrac{4}{7}\left(\dfrac{21}{8}x+\dfrac{1}{2}\right)=-2\left(\dfrac{1}{7}-\dfrac{5}{28}x\right)\\\\\text{use the distributive property}\ a(b\pm c)=ab\pm ac\\\\\left(\dfrac{4}{7}\right)\left(\dfrac{21}{8}x\right)+\left(\dfrac{4}{7}\right)\left(\dfrac{1}{2}\right)=(-2)\left(\dfrac{1}{7}\right)-(-2)\left(\dfrac{5}{28}x\right)\\\\\dfrac{4\cdot21}{7\cdot8}x+\dfrac{4\cdot1}{7\cdot2}=-\dfrac{2}{7}+\dfrac{2\cdot5}{28}x\qquad\text{simplify}[/tex]

[tex]\dfrac{3}{2}x+\dfrac{2}{7}=-\dfrac{2}{7}+\dfrac{5}{14}x\qquad\text{multiply both sides by 14}\\\\(14)\left(\dfrac{3}{2}x\right)+(14)\left(\dfrac{2}{7}\right)=(14)\left(-\dfrac{2}{7}\right)+(14)\left(\dfrac{5}{14}x\right)\qquad\text{simplify}\\\\(7)(3x)+(2)(2)=(2)(-2)+(1)(5x)\\\\21x+4=-4+5x\qquad\text{subtract 4 from both sides}\\\\21x+4-4=-4-4+5x\\\\21x=-8+5x\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\21x-5x=-8+5x-5x\\\\16x=-8\qquad\text{divide both sides by 16}[/tex]

[tex]\dfrac{16x}{16}=\dfrac{-8}{16}\qquad\text{simplify}\\\\\boxed{x=-\dfrac{1}{2}\to x=-0.5}[/tex]

Answer:

X = -0.5

Step-by-step explanation:

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