Colin invests £980 into his bank account. He receives 2.1% per year simple interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate.

Answer:

[tex]x = 30 \\ y = 10[/tex]

Step-by-step explanation:

[tex]8x + 6y = 300 \\ x + y = 40 \\ 6x + 6y = 240 \\ 2x = 60 \\ = > x = 30 \\ y = 10[/tex]

Answer:

1

first choice

Step-by-step explanation:

in a function, the x-value never repeats.

(found in brainly)

Step-by-step explanation:

6274518802

w541gM

please come

for zóom

HVXpimbOay

for me3t

Answer:

sorry di ko alam

Step-by-step explanation:

0.8458 rounded to the nearest tenth is 0.8 given cos is 0.696706709347

Answer:

7.6

Step-by-step explanation:

Answer:

76/10

Explanation

7 × 10 is 70 + the 6 is 76/10

you can look up fractions on yt

to get a better explication.

Answer:

1. -3145

Step-by-step explanation:

I couldnt solve the other one because they don't have a equal sign. Something like 28x-43= ?

Answer:

-37x85= -3145
28x-43=-1204
-53x-98=5194

those are ur answers

Step-by-step explanation:

Answer:

The answer is...

Step-by-step explanation:

Work Shown:

z = (x - mu)/sigma

z = (72.4 - 69.0)/(2.8)

z = (3.4)/(2.8)

z = 1.2142857 .... which is approximate

z = 1.21

Z-score of a man who is 72.4 inches tall is 0.45.

Understanding the concept of the z-score helps us gauge how far a value is from the mean in terms of standard deviations.

A z-score, denoted as , measures the deviation of a data point from the mean in terms of standard deviations. It's calculated using the formula:

= ( - ) /

Where:

- is the value we want to find the z-score for (72.4 inches in this case).

- is the mean of the dataset (69.0 inches).

- is the standard deviation of the dataset (2.8 inches).

Plugging in the values:

= (72.4 - 69.0) / 2.8 = 1.25 / 2.8 ≈ 0.446

Rounded to two decimal places, the z-score is approximately 0.45.

This means that a man who is 72.4 inches tall is roughly 0.45 standard deviations above the mean height of adult men.

In other words, his height is a bit taller than the average height by about 0.45 times the standard deviation.

This positive value indicates that the man's height is above the mean. If the z-score were negative, it would mean the height is below the mean. By using z-scores, we can compare data points from different distributions and understand how unusual or typical a particular value is within its dataset.

Z-scores help us quantify the relative position of a data point, providing a standardized way to interpret its significance in the context of the dataset's characteristics.

In summary, the z-score of a man who is 72.4 inches tall is approximately 0.45, indicating that his height is slightly above the average height of adult men.

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Answer:

42m + 12

Step-by-step explanation:

6 ( 7m + 2 )

= 6 ( 7m ) + 6 ( 2 )

= ( 6 * 7m ) + ( 6 * 2 )

= 42m + 12

Answer:

a

Step-by-step explanation:

do distributive property and u get 42m+12

86,000 :)

hope it helped!

Step-by-step explanation:

x = 0,75

y = 0,96

= x - 2y

= 0,75 - 2.0,96

= 0,75 - 1,96

= -1,21

Answer:

20 por cento de cada um , que colocar

The unemployment rate is approximately 17 per cent. The correct option is A.

To calculate the unemployment rate, we need to consider the number of unemployed individuals (those looking for work) divided by the total labour force (those employed plus those looking for work).

Given:

Total population = 100

Employed individuals = 50

Individuals looking for work (unemployed) = 10

Total labour force = Employed + Unemployed

Total labor force = 50 + 10 = 60

Unemployment rate = (Unemployed / Total labour force) x 100

Unemployment rate = (10 / 60) x 100 ≈ 16.67 percent

Rounding to the nearest whole number, the unemployment rate is approximately 17 per cent.

Therefore, the correct answer is option A.

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k-3yStep-by-step explanation:

For the given equations,  x + 3y = k and x-k= y, the value of x is equal to k.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equations are,

x + 3y = k       (1)

and x-k= y,      (2)

From equation (2) substitute the value of y in equation (1)

x+3(x-k)=k

⇒4x-3k=k

⇒x=k

So the value of x is equal to k.

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Answer:

Hundreds place

Step-by-step explanation:

The quotient is 401.  The first digit (4) is in the hundreds place.

Answer:

The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.

The area of the rectangle can be found by [tex]11*4=44[/tex]

The area of a semi-circle can be found with the formula [tex]\frac{1}{2} \pi r^2[/tex] where r is the radius.

Since we know the diameter of the semi-circle is 4,

the radius will be 4 ÷ 2 = 2.

Therefore, the area of the semi-circle is [tex]\frac{1}{2}\pi 2^2=\frac{1}{2}\pi*4=2\pi[/tex]

Therefore, the area of the shape is [tex]44+2\pi[/tex] or [tex]50.283cm^2[/tex] (3 decimal places)

Answer:

You can't answer this properly without more data.

Answer:

The question or equation is not clear.....

Step-by-step explanation:

you know that the overall angle is a right angle (that is what that little square in the corner means) ?

a right angle stands for 90 degrees.

and there you have practically your answer, right ?

angle 1 plus angle 2 are these 90 degrees.

as we know angle 1 = 53 degrees, that leaves only to rest of 90 degrees gut angle 2.

and you know how to get "the rest" ?

subtraction.

90 - 53 = 37 degrees for angle 2

Answer:

112

Step-by-step explanation:

l : b = 8 : 7

b = 98m

so l / b = 8/7

l / 98 = 8 / 7

l = 98 * 8 / 7

= 112

Answer:

4. - 11

5. 3

6. 14

7. - 60

that it is

Answer:

This is (approximately) a proportional relationship

Step-by-step explanation:

If we draw a straight line through all of the points, the line either passes through (0, 0) or a point very close to (0, 0).  This satisfies the requirement that the graph of a proportional relationship must pass through the origin.

Answer:

98

Step-by-step explanation:

you at 56 in to 42

Answer:

98

pa brainless

Step-by-step explanation:

please brainless

Answer:

B STEP 2

Step-by-step explanation:

5/8 is not more than 1

Recall the angle sum identity for cosine,

cos(α + β) = cos(α) cos(β) - sin(α) sin(β)

Then given sin(α) = -1/3, we have

cos(α + β) = cos(α) cos(β) + 1/3 sin(β)

α is in quadrant IV, so 3π/2 < α < 2π, and so sin(α) is negative and cos(α) is positive. Then from the Pythagorean identity, we get

sin²(α) + cos²(α) = 1

⇒   cos(α) = √(1 - sin²(α)) = 2√2/3

β is in quadrant III, so π < β < 3π/2, so both sin(β) and cos(β) are negative. If we multiply both sides of the previous identity by 1/cos²(α) and replace α with β, we get

sin²(β)/cos²(β) + cos²(β)/cos²(β) = 1/cos²(β)

⇒   tan²(β) + 1 = 1/cos²(β)

⇒   1/cos(β) = -√(tan²(β) + 1) = -√58/3

⇒   cos(β) = -3/√58

Also recall that by definition,

tan(β) = sin(β)/cos(β)

⇒   sin(β) = tan(β) cos(β) = 7/3 • (-3/√58) = -7/√58

Putting everything together, we find that

cos(α + β) = 2√2/3 • (-3/√58) + 1/3 • (-7/√58) = -(6√2 + 7)/(3√58)

or more clearly,

[tex]\cos(\alpha + \beta) = -\dfrac{6\sqrt2 + 7}{3\sqrt{58}}[/tex]

Answer:

-h - 2 > -7

Step-by-step explanation:

-(-13) - 2 > -7

13 - 2 > -7

11 > -7

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The value of x in given expression is ~

[tex] \boxed{21}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve for x ~