Work out the percentage change to 2 decimal places when £78.98 is increased to £100​

Answer:

54

Step-by-step explanation:

Multiply:

37x37=72

Subtract:

180-72=108

Divide:

108/2=54

Answer:

143 degrees

Step-by-step explanation:

37(2) + 2x = 360
74 + 2x = 360
2x = 286

x = 143

Hope this helps :)

Answer:

95.5°F

Step-by-step explanation:

Given the regression equation :

y = 1.8x - 76.9 ; the relationship between temperature (°F) and number of ice cream sold

y = number of ice cream sold

x = temperature (°F)

The temperature when 95 iccream cones are sold will be ;

Here, y = 95

Using the model :

95 = 1.8x - 76.9

95 + 76.9 = 1.8x

171.9 = 1.8x

Divide both sides by 1.8

171.9 / 1.8 = x

95.5°F = x

Hence, temperature when 95 cones of ice-cream are sold is 95.5°F

Answer:

-1368

Step-by-step explanation:

Answer:

Point A (0, 8)

Point B (0, -6)

Point C (0, 0)

I hope this helps!

Answer:

37

Step-by-step explanation:

x=-4

=2(5-(-4)2+1

=2(5+4)2+1

=2(9)2+1

=18(2)+1

=36+1

=37

A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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Answer:

Your answer would be 4 hrs and 24 minutes for how long the van traveled

Step-by-step explanation:

The third side of the triangle is 12 units long, since it is the average of the altitudes of the two given sides (10 and 15).

The two given sides of the triangle have lengths 10 and 15 units. To find the length of the third side, we first need to find the length of the altitude to each of the two given sides. To do this, we can use the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.

So, for the side of length 10, we have \(a^2 + b^2 = c^2\), where a and b are the legs and c is the hypotenuse. Solving this equation gives us c = sqrt(100), or c = 10.

So the altitude to the side of length c = 10.

For the side of length 15, we have \(a^2 + b^2 = c^2\), where a and b are the legs and c is the hypotenuse. Solving this equation gives us

c = sqrt(225), or

c = 15.

So the altitude to the side of length c= 15.

Now that we have the lengths of the altitudes, we can use the average of the lengths of the altitudes to determine the length of the third side of the triangle. The average of 10 and 15 is 12.5, but since the side lengths must be whole numbers, the third side must be 12 units long.

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Answer:

8.5 miles an hour.

Step-by-step explanation:

There are many ways to do this, but I am going to do it the way I think is the most simple.

First, divide 748 yards by 3 minutes to get the amount of yards per minute. 748 / 3 = 249.33333

Second, divide the previously gotten number (249.33333, [3's go on forever]) by the amount of yards in a mile (which is 1760 yards per mile). This turns into 249.33333 / 1760 = 0.1416666 (6's go on forever). This is miles per minute so you must make it per hour.

You then multiply that infinite number by the amount of minutes in an hour (60 minutes per hour). 0.14166666 * 60 = 8.5 miles per hour.

The interest after 7 years is $15, 047. 86

The fornula for simple interest is expressed as;

Simple interest = PRT/100

where;

We have the values to be;

P = $3583

R = 6%

T = 7

substitute into the formula for simple interest

Simple interest , I = 3583 × 6 × 7/100

I = 150, 486/ 100

I = $15, 047. 86

Thus, the interest after 7 years is $15, 047. 86

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Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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$26.40

ten percent is 88 divided by 10= 8.8

8.8 multiplied by 3 is 26.40

Answer:

9.7

Step-by-step explanation:

First convert the numbers into whole numbers by multiplying both numbers by 100. Then divide the numbers by using long division.

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Answer:

- 6 + 24 i

Step-by-step explanation:

Use distributive property to remove parentheses and then combine like terms:

6 + 9i - 12 + 15 i = - 6 + 24 i

Answer:

7. what are the fold down options for this question exactly?

1. C and E

3. B and D

Step-by-step explanation:

7.

1. function 1 has a slope of 2/3 and function 2 has a slope of 3 so they are both positive rates of change, and the y intercept (the value that y has when it passes through x = 0) for function 1 is -6 while the y intercept for function 2 is -3.

3. K has a y intercept of 8 compared to the 3 that J has, and J has a slope of 5 compared to the 3 that K has.

Answer:

a. 405/4

b. 1/32

Step-by-step explanation:

a. (5x8 + 5) / 8 x 18

= 45/8 x 18

= 405/4

b. 3/8 ÷ 12

= 3/8 x 1/12

= 1/32

Graph 1: No correlation

Graph 2: Positive

Graph 3: Negative

Graph 4: Positive

Define Correlation.

The term "correlation" describes how two values are related. It can be characterized as either powerful or feeble, as well as either positively or negatively.

The degree of linear association between two or more quantities is known as correlation. The so-called correlation coefficient in a two-dimensional graphic measure how closely the values on the two axes are correlated.

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Answer:

3

Step-by-step explanation:

43-40=3

Step-by-step explanation:

Let us assume R be the radius of circle We know that, area of circle = πR2 81πr2 = πR2 R = √81 r R = 9r Circumference = 2 πr = 2 π (9r) = 18πr

Answer: 14.5734588364

Step-by-step explanation:

a)

Answer: 3

b)

Answer: 2

c)

Answer: 0

d)

Answer: -2

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

210 cm^2

Step-by-step explanation:

Area1:

6*3 = 18 cm^2

Area2:

6*7 = 42 cm^2

Area3:

6*5 = 30 cm^2

Area4:

6*11 = 66 cm^2

Area5 (*2):

(11+7)*3*1/2

18*3*1/2

54*1/2

27 cm^2 (*2) = 54 cm^2

54 + 66 + 30 + 42 + 18 = 210 cm^2

Answer:

Step-by-step explanation:

volume = 696.56 in3

volume = 22,824.77 ft3

volume = 60,074.09 yd3

 its all in order hope this helps :)

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Answer:

-267

Step-by-step explanation:

−136(127)

=(−136)(127)

=(−13)(12)(6)(7)

=−15642

= −267

Answer:

-3.74

Step-by-step explanation:

Use PEMDAS

do the parenthesis first 12 divided by 7

-13 / 6 (1.7)

divide -13 by 6

-2.2(1.7)

multiply those two numbers

-3.74 is the answer

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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