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Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.

The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Tο calculate the damages, we need tο find οut the prοpοrtiοn οf negligence fοr each driver and apply it tο the damages.

Let D represent Dοe and W represent Wick.

Dοe's negligence = 23%

Wick's negligence = 33%

Tοtal negligence = 23% + 33% = 56%

Therefοre, Dοe is 23%/56% = 0.4107 οr 41.07% liable, and Wick is 33%/56% = 0.5893 οr 58.93% liable.

Damage tο Range Rοver = R175 000

Dοe's liability = 41.07% οf R175 000 = R71 872.50

Wick's liability = 58.93% οf R175 000 = R103 127.50

Salvage value οf Pοrsche = R125 000

Pre-accident value οf Pοrsche = R985 000

Lοss οf value οf Pοrsche = R985 000 - R125 000 = R860 000

Wick's liability fοr lοss οf value = 58.93% οf R860 000 = R506 398.00

Therefοre, Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.

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Answer:

441

Step-by-step explanation:

200kg= 1 pound/0.4536kg

Cross the kg and you can convert that to 441 pounds

Answer:

A. \(60 ft^3\)

Step-by-step explanation:

So to find the volume of a single box, we can determine that by multiplying the width by the height by the length. So:

2.5 × 2.4 × 2 = 12

Now because we have 5 of these boxes, and we know each box has a volume of 12, all we have to is multiply 12 by 5 to get 60.

Answer:

60 cubic feet

Step-by-step explanation:

Total volume of boxes = Number of boxes × Volume of I box

                                      = 5 × (Length × Width × Height)

                                     = 5 × (2 feet × 2.5 feet × 2.4 feet)

                                     = 60 cubic feet

∴Option A

To calculate Geraldo's salary after four consecutive 4% increases, we can use the formula for compound interest:

Final Amount = Initial Amount * (1 + (rate/100))^n

In this case, the initial amount is Geraldo's current salary ($40,000), the rate is the percentage increase (4%), and n is the number of consecutive increases (4).

Final Amount = $40,000 * (1 + (4/100))^4

Simplify the equation:

Final Amount = $40,000 * (1 + 0.04)^4

Final Amount = $40,000 * (1.04)^4

Now, calculate the final amount:

Final Amount ≈ $40,000 * 1.16986

Final Amount ≈ $46,794.34

After four consecutive 4% increases, Geraldo's salary would be approximately $46,794.34 per year.

Answer: D: Square Root Of 5

Step-by-step explanation: 30/6 is 5, now fill in the sqrt symbol. Hope this helped. (This problem was one of the simpler, friendlier numbers.)

Answer:

  (a)  The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread

Step-by-step explanation:

The equation for exponential growth can be written in the form ...

  f(t) = a·b^t

where a is the initial value, and b is the growth factor for time period t. The growth factor is related to the growth rate by ...

  b = 1 +r . . . . . where r is the growth rate in time period t

__

The equation for the area of mold on the banana bread is given as ...

  B(t) = 20·1.06^t

Comparing to our generic equation, we see ...

The growth rate of the mold on the banana bread is given as 0.06 = 6% per week.

__

We are given some values of t and area that we can use to find the growth rate of mold on the whole wheat bread.

  W(1) = 40.8 = a·b^1

  W(4) = 43.30 = a·b^4

The ratio is ...

  W(4)/W(1) = (a·b^4)/(a·b^1) = b^3 = 43.30/40.8

Then the value of b can be found to be ...

  b = ∛(43.30/40.8) ≈ 1.02002 ≈ 1 + 0.02

The growth rate of mold on the whole wheat bread is about 0.02 = 2% per week.

__

The mold growth rate on the banana bread compared to that on the whole wheat bread is ...

  (banana bread growth rate)/(whole wheat bread growth rate) = 6%/2% = 3

We can conclude ...

  The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread

Step-by-step explanation:

No of friends = 3

No of days = 365 days

Days Alisa needs to walk the dog = 365 ÷ 3 = 121. 66

Step-by-step explanation:

you can find the answer by vertical opposite angle

if the value of x is computed and it's equal to 78 you will find the answer

78=(12x+18)^

78=(12×5+18)

78=(60+18)

78=78 the problem is solved

may u get branliest please please

Answer:

The new coordinates are \(A'(x,y) = (3, 0)\), \(B'(x,y) = (6, -3)\) and \(C'(x,y) = (2, -3)\).

Step-by-step explanation:

Vectorially speaking, the translation of a point can be defined by the following expression:

\(V'(x,y) = V(x,y) + T(x,y)\) (1)

Where:

\(V(x,y)\) - Original point.

\(V'(x,y)\) - Translated point.

\(T(x,y)\) - Translation vector.

If we know that \(A(x,y) = (-3,4)\), \(B(x,y) = (0,1)\), \(C(x,y) = (-4,1)\) and \(T(x,y) = (6, -4)\), then the resulting points are:

\(A'(x,y) = (-3, 4) + (6, -4)\)

\(A'(x,y) = (3, 0)\)

\(B'(x,y) = (0,1) + (6, -4)\)

\(B'(x,y) = (6, -3)\)

\(C'(x,y) = (-4, 1) + (6, -4)\)

\(C'(x,y) = (2, -3)\)

The new coordinates are \(A'(x,y) = (3, 0)\), \(B'(x,y) = (6, -3)\) and \(C'(x,y) = (2, -3)\).

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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The surface area of the cylinder is 905 square centimeters

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

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

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

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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The solution of the below trignometric equation are θ= mπ , θ= nπ/3

Given tan θ + tan 2θ = tan 3θ

=> tan θ + tan 2θ - tan 3θ = 0

(tanθ + tan2θ)−(tanθ + tan2θ)/(1 - tanθ tan2θ) =0

or (tanθ + tan2θ)(1 − tanθ tan2θ−1)=0

or tanθ tan2θ(tanθ + tan2θ) = 0

tanθ = 0

∴θ=nπ, tan2θ=0,

∴2θ=nπ or θ=nπ/2

tanθ + tan2θ=0

or sin(θ+2θ)=0

∴θ=nπ/3

​

However, the values of given by =n/2 for odd values of n do not fulfill the preceding equation as it will result in ∞ = ∞

Hence the required solution is:

θ= 2mπ/2=mπ

θ= nπ/3

​

where m and n is an integer

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Complete question:

Find the general solution of the equation tan θ + tan 2θ = tan 3θ

Answer:

0

Step-by-step explanation:

7-7 over -4-10

That is 0/-14, which simplifies to 0

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

\( A = \frac{1}{2}bh \)   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\( \frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b) \)

We can find the base by solving equation (1) for b:

\( b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm \)

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

\( 2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm) \)

\(\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min\)    

Therefore, the base is decreasing at 2 cm/min.

I hope it helps you!  

Answer:

what grade are u in just need to know so I can help bc I dont understand the question

Answer:

can you add a picture of the triangle

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

V=length x width x height.

V= 7.5*2*4.2

V=63

Write and simplify an expression for the volume of a rectangular prism with a length of 7.5 ft, width 2 ft, and height 4.2 ft. What is the volume if the width is 2 ft.

Substituting the values given in the formula, We get,

⇒ Volume of rectangular prism = ( 7.5 × 2 × 4.2 ) ft³

⇒ Volume of rectangular prism = 63 ft³

Volume of the rectangular prism is 63 ft³

Please scroll from right to left to see the whole solution.

The z-scores are approximately -1.73 for part (a), -3.09 for part (b), 5 for part (c), and 10 for part (d).

To find the z-score, we need to use the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

a. M = 8, n = 12

z = (8 - 10) / (2 / √12) ≈ -1.73

b. M = 8, n = 30

z = (8 - 10) / (2 / √30) ≈ -3.09

c. M = 20, n = 4

z = (20 - 10) / (2 / √4) = 5

d. M = 20, n = 16

z = (20 - 10) / (2 / √16) = 10

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Answer: 6

Step-by-step explanation:

Answer:

i say a pizza with six has more for less people but twelve is for more people so equally they are both a lot.

Step-by-step explanation:

Answer:

a)There are 14 teachers in Ryan's sample, and 362 teachers in the population.

Step-by-step explanation:

Population:-

The totality of observations with which we are concerned, whether this number be finite or infinite  is called population.

Given data population is  376 teachers at a university were female'

Sample:-

A sample is a subset of a Population

sample of given data = 14teachers

The percentage of 376 teachers at a university were female, Ryan randomly selected 14 teachers.

\(p = \frac{14}{376} = 0.0372\) = 3.72%

Answer:

There are 14 teachers in Ryan's sample, and 362 teachers in the population.

Step-by-step explanation:

Answer:

6.63 ft

Step-by-step explanation:

10² + h² = 12²

h² = 12² - 10²

h² = 144 - 100

h = √(44)

h = 2√11

6.63325 ft

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer:

Ashton is correct. The quadratic expression has the factors (2x−5) and (3x+5), so the zeros are at x=5/2 and x=−5/3.

Step-by-step explanation:

The answer itself has the step-by-step explanation.

Answer:

The volume of the cylinder is decreasing at a rate of 83629.2 m³/h.        

Step-by-step explanation:

The volume of a is given by:

\( V = \pi r^{2}h \)

Where:

r: is the radius = 55 m

h: is the height = 88 m

We can express the rate of change of the volume of the cylinder as follows:

\( \frac{dV}{dt} = \pi[h\frac{2rdr}{dt} + r^{2}\frac{dh}{dt}] \)

If dr/dt = 11 m/h and dh/dt = -44m/h, we have:

\( \frac{dV}{dt} = \pi[88 m*2*55 m*11 m/h + (55 m)^{2}*(-44 m/h)] = -83629.2 m^{3}/h \)

Therefore, the volume of the cylinder is decreasing at a rate of 83629.2 m³/h.       

I hope it helps you!

Answer: The x intercept is 10   or (10,0)

Step-by-step explanation:

4x - 5y = 40   The x-intercept of a line is when its y coordinate is equal to zero. Input zero into the equation for y and solve for x to find the x intercept.

4x-5(0) = 40

4x + 0  = 40

  4x = 40    

 x=  10

The x intercept is 10   or (10,0)

Answer:

\(y = -5x+10\)

Step-by-step explanation:

Given

\((x_1,y_1) = (2,0)\)

\(y = \frac{1}{5}x - 2\)

Required

Determine an equation that perpendicular to the equation

An equation has the form:

\(y = mx + b\)

Where

\(m = slope\)

By comparison:

\(m = \frac{1}{5}\)

Next, we determine the slope of the new line.

When two lines are perpendicular, the following relation exist:

\(m_2= -\frac{1}{m_1}\)

Substitute 1/5 for m1

\(m_2= -\frac{1}{1/5}\)

\(m_2= -5\)

The equation of the line is then calculated using:

\(y - y_1 = m(x - x_1)\)

Where:

\(m_2= -5\) and \((x_1,y_1) = (2,0)\)

This gives:

\(y - 0 = -5(x - 2)\)

\(y = -5(x - 2)\)

\(y = -5x+10\)

Noel delivered 525 yards of ribbon per day.

The average value is calculated by adding the total values then this result is divided by the number of values.

In this question. Noel delivered 350 yards ribbon per day in the first half of each week.

in the second half Noel delivered 700 yards of ribbon per day.

the average will be the sum of two number divided by 2.

in this problem from Tuesday to Friday Noel delivered 350 yards of ribbon per day.

The rest of the days of week Noel delivered 700 yards of ribbon per day.

the average length of ribbon= (350+700)/2 = 525 yards

hence, Noel delivered average 525 yards of ribbon per day.

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