Solve this equation (Shown in the screenshot below)

Answer:

99 and 51

Step-by-step explanation:

Answer: You will pay £1,912.54 each month.

Step-by-step explanation:

We can use the formula for the monthly payment of a loan with compound interest:

monthly payment = (principal * monthly interest rate) / (1 - (1 + monthly interest rate)^(-n))

where principal is the amount borrowed, monthly interest rate is the annual interest rate divided by 12, and n is the total number of monthly payments.

In this case, the principal is £64,950, the annual interest rate is 4%, so the monthly interest rate is 4%/12 = 0.00333, and the number of monthly payments is 36.

Plugging in these values, we get:

monthly payment = (64950 * 0.00333) / (1 - (1 + 0.00333)^(-36)) = £1,912.54

Therefore, you will pay £1,912.54 each month.

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:it might be A

Yes, the proof of congruence of two triangles ∆ABC ≅ ∆GHF is possible.

The convergence method which proves this congruence is SSS(side-side-side) congruence.

We have given the sketch of two triangles as seen above. We have to prove ∆ABC ≅ ∆GHF

Now , AB = √(-7+7)² + 5² = 5 in triangle ABC and FG = 5 in triangle FGH,

so, AB ≅ FG

Because AC = 3 in triangle ABC and FH = 3 in triangle FGH,

so, AC ≅ FH

To find the lengths of BC and GH , we can use distance formula.

Length of BC :

BC = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = B(-7, 0) and (x₂, y₂) = C(-4, 5).

BC = √[(-4 + 7)² + (5 - 0)²]

= √[32 + 52]

= √[9 + 25]

= √34

Length of GH :

GH = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = G(1, 2) and (x₂, y₂) = H(6, 5).

GH = √[(6 - 1)² + (5 - 2)²]

= √[52 + 32]

= √[25 + 9]

= √34

Conclusion :because BC = √34 and GH = √34,

=>BC ≅ GH

All the three sides of one triangle is congruent to the corresponding sides of other triangle.

By SSS congruence postulate,

ΔABC ≅ ΔFGH

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The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

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Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

The solution of the given inequality is y ≤ -3.

The given inequality is -

3y ≤ −9

We have to solve this given inequality.

Now, we have the inequality as -

3y ≤ −9

=> y ≤ -3

Thus, the solution of the given inequality is y ≤ -3.

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Answer:

EA and EB are equal

Step-by-step explanation:

This is because both of the circles have the same radius AB. The radius is the length from the center of a circle to anywhere on the edge of the circle and is the same no matter where on the circle it is measured from, as long as it goes to the middle. If we focus on just the circle with B at its center, we can see that AB is the radius from the middle to the edge of the circle at A. E also lies on the edge of this same circle, meaning that the length from B to E is that same as AB, the radius. The same logic applies to AE, the length AE is equal to the radius AB because it also runs from the center to the edge of the circle.

Therefore, EA and EB are equal, because they are both radii of two same size circles and are equal to the length of AB.

Hope this helped!

Therefore, the solutions to the equation (x-3)(x+5) = 0 are x = 3 and x = -5.

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign (=). Equations are used to express relationships between variables, to solve problems, and to model real-world situations in many fields, including science, engineering, economics, and finance. Solving an equation involves finding the value or values of the variable that make the equation true. This is typically done by applying algebraic techniques, such as simplification, factoring, or substitution.

Here,

To solve the equation (x-3)(x+5) = 0, we can use the zero product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. So we set each factor equal to zero and solve for x:

x - 3 = 0 or x + 5 = 0

If x - 3 = 0, then adding 3 to both sides gives x = 3.

If x + 5 = 0, then subtracting 5 from both sides gives x = -5.

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Answer:

0.57

Step-by-step explanation:

The 7 is in the hundredths place. Next to it is a 4. 4 does not round up, therefore making the answer 0.57.

The area of the triangle is 47.91 units²

When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.

Heron’s formula is:

Area =√s(s−a)(s−b)(s−c)

where,

a, b, c are the side length of the triangle

s is the semi-perimeter. s = (a+b+c)/2

In this case:

Using the knowledge of the radius of a circle. We can say:

a = BC = 3 + 9 = 12 units

b = AC = 5 + 3 = 8 units

c = AB = 5 + 9 = 14 units

s = (a+b+c)/2

s = (12+8+14)/2

s = 34/2

s = 17 units

Area = √s(s−a)(s−b)(s−c)

Area = √17(17−12)(17−8)(17−14)

Area = √17(5)(9)(3)

Area = √2295

Area = 47.91 units²

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cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

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The total centimeters that the plants grew in all was 200 centimeters or 2.00 centimeters when written as a decimal.

Centimetres (cm) is a unit of length in the metric system, equal to one-hundredth of a metre. It is commonly used in everyday life, for example when measuring the height of a person or the size of a room. Centimetres are also used in scientific and engineering measurements, such as the size of an object or the distance between two points. Centimetres are divided into millimetres, which are one-thousandth of a metre.

This can be written as a decimal as 2.00 centimeters.

To determine the total centimeters, we simply add the individual centimeter measurements of the two plants.

Daysha's plant grew 100 centimeters and India's plant grew 100 centimeters.

Therefore, the total centimeters that the plants grew in all was 200 centimeters, or 2.00 centimeters when written as a decimal.

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Answer:

42

Step-by-step explanation:

Let that number be x

x is multiplied by 0.5, 1/3, then squared

(0.5/3 x)^2

Add 1: (0.5/3 x)^2 +1

Make it equal to 50

: (0.5/3 x)^2 +1 = 50 now solve

(0.5/3 x)^2 =50-1

(0.5/3 x)^2 =49

square root both sides ending up with:

0.5/3 x=7

solve for x

x=42

GOOD LUCK AND HOPE IT HELPS:))

Answer: y=1.25

Step-by-step explanation:

First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.

So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5

Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…

Y = 1.25

Answer:

The values of x are:

\(x=3,\:x=7\)

Step-by-step explanation:

Given the expression

\((x-2)^2-6(x-2)+5=0\)

Expand (x - 2)² = x² -4x + 4

\(x^2-4x+4-6\left(x-2\right)+5=0\)

Expand: -6(x - 2) = -6x + 12

\(x^2-4x+4-6x+12+5=0\)

simplifying

\(x^2-10x+21=0\)

Factor  x² -10x + 21:  (x - 3) (x - 7)

\(\left(x-3\right)\left(x-7\right)=0\)

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

\(x-3=0\quad \mathrm{or}\quad \:x-7=0\)

solving x - 3 = 0

x - 3 = 0

Adding 3 to both sides

\(x-3+3=0+3\)

simplify

x = 3

solving x - 7 = 0

x - 7 = 0

Adding 7 to both sides

\(x-7+7=0+7\)

Simplify

x = 7

Therefore, the values of x are:

\(x=3,\:x=7\)

Answer:

120

Step-by-step explanation:

Answer:

x=17.7

Step-by-step explanation:

Pythagorean theory

a²+b²=c²

16²+7.5²=c²

256+56.25=c²

√312.25=√c²

c=17.7

The increase in percentage is 17 percent

Answer:

17%

58.50-50=8.5

8.5/50=0.17

0.17=17%

I hope this is good enough:

Answer:

  P'( 4, -4)

Step-by-step explanation:

The double reflection across the x-axis does nothing, so the net effect is a single reflection across the y-axis. That effect is to negate the x-coordinate:

  reflection across y-axis: (x, y) ⇒ (-x, y)

  Then P(-4, -4) ⇒ P'(4, -4)

Answer:

4,-4

Step-by-step explanation:

edmentum answer!!

Student use simple random sampling method.

There are two types of data sets are collected for the research. They are population and sample. Population includes all the elements from the data set. Sample is a part of population.

A student is researching if people like to study at the city library.

The student stands by the door of the city library and surveys people walking in.

It is type of simple random sampling.

In this simple random sampling every member of an population has an equal chance of being selected.

This is one of the probability sampling methods.

Hence, student use simple random sampling method.

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Answer: The answer should be 20 hours

Step-by-step explanation:

That is when the 2 lines meet up so that is when they are the same difference from Kansas City.

The amount Stefan spent originally to buy the bike is; $100.91.

The amount Stefan made in profit by selling the bicycle and helmet to Jin is; $10.09.

According to the task content;

Stefan sold the bicycle and helmet for a total of;

104 + 17 = $111.

Also, since the total cost ($111) for Jin is 110% of what Stefan spent to buy the bicycle and helmet, x originally; we have

110% × x = 111

x = (111 × 100) / 110

x = $100.91.

Therefore, Stefan spent $100.91 originally to buy the bike and helmet.

Consequently, the money Stefan made by selling the bicycle and helmet to Jin is; 111 - 100.91 = $10.09.

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The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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Answer:

yes

Step-by-step explanation:

bcuz

Answer:

Subtract the circle from the square

Step-by-step explanation:

(10× 10) - 25pi

Answer:

Step-by-step explanation:

The above statement is written as

\( \frac{2}{3} x - \frac{1}{5} > 1\)

Multiply through by the LCM of 3 and 5 which is 15

So we have

\(15 \times \frac{2}{3} x - 15 \times \frac{1}{5} > 15 \\ \\ 10x - 3 > 15 \\ \\ 10x > 15 + 3 \\ \\ 10x > 18 \\ \\ x > \frac{18}{10} \\ \\ x > \frac{9}{5} \)

Hope this helps you

Answer: The answer is x > 9/5.

     Hope this helps!! Also please put as brainlist answer really need it would really aprecite it please.

Answer:

1404.81

Step-by-step explanation:

1277.1 +127.71 =  i read it wrong the first time sorry

The total amount paid to harry in past week, is 299.28.

Amount is the sum or the total value.

For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.

Given that,

The amount paid to Harry for 1 hour = $8.60

Since, Harry worked for 33 hours,

So, The amount paid to Harry for 33 hours = 8.60×33=283.8

Harry gets half times more amount than hourly rate and also gets bonus for last 3 days

So for last 3 days the extra amount paid to Harry

= 3×1/2×8.60+3×1/10×8.60

= 12.9+2.58

=15.48

So the total amount paid to harry = 283.8+15.48=299.28

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Answer:

$9.30 x 30 minutes and $9:30 x 5 hours

Step-by-step explanation: