Charlie invests £1200 at 3.5% per annum compound interest. Work out the value of Charlie's investment after 3 years.

Answer:

The sum of two consecutive number is 55'which is the largest number? So the numbers are 27 and 28.

Step-by-step explanation:

If we say \(x\) is the first number, then the next consecutive number will be \(x+1\).

Using this, we can make an equation.

\(x+(x+1)=55\)

\(2x+1=55\)

\(2x=54\)

\(x=27\)

And so we know that the two consecutive numbers are 27 and 28.

Hope this helps.

頑張って!

Answer:

-3d4 - 4d + 4

Step-by-step explanation:

5d4 - 8d4 and -3+7

-3d4 - 4d + 4

Answer:

V=hpir²

1/2 full

Cylinders This One=(1/2)hpir^2

given

h=250

r=100

so

V=(1/2)(250)pi(100)²

V=125pi10000

V=1250000pi

approx pi=3.141592

V=3926990 cm^3

divide by 1000

3926.99 liters

about 3927 liters

Answer:

$2.50

Step-by-step explanation:

Let's set up a proportion using the following setup.

price / pens = price / pens

We know that it costs $4.00 for 8 pens.

$4.00 / 8 pens = price / pens

We don't know how much it costs for 5 pens. Therefore, we can say it costs $x for 5 pens.

$4.00 / 8 pens = $x / 5 pens

4/8=x/5

We want to solve for x (the cost for 5 pens). Therefore, we must get x by itself on one side of the equation. x is being divided by 5. The inverse of division is multiplication, so multiply both sides of the equation by 5.

5*(4/8)=(x/5)*5

5*(4/8)=x

5*0.5=x

2.5=x

x= $2.50

Ivan should pay $2.50 for 5 pens.

Answer:

4.00

Step-by-step explanation:

Answer:

y° = 110°

z° = 26°

Step-by-step explanation:

Looking at the above geometry, we have two parallel lines , m and m

We have been asked to solve for y° and z°

Step 1

We solve for y°

On line n , we have can see that 70° and y° are CONSECUTIVE INTERIOR ANGLES

It is important to note that THE SUM OF TWO CONSECUTIVE INTERIOR ANGLES = 180°

Hence,

70° + y° = 180°

y° = 180° - 70°

y° = 110°

Step 2

Solve for z°

Looking at the geometric diagram we can see that

y° and (6z - 46) ° are ALTERNATE INTERIOR ANGLES

This means

y° = (6z - 46) °

In step 1 , we have already solved for y°

y° = 110°

Hence,

110° = (6z - 46) °

110° = 6z° - 46°

collect like terms

110° + 46° = 6z°

156° = 6z°

Divide both sides by 6

156°/6 = z°

z° = 26°

Therefore, the value y = 110° and the value of z = 26°

Answer:

BD = √13cm, AC = 10c,

Step-by-step explanation:

\(AB^2 = AD^2 + BD^2\\\\49 = 36 + BD^2\\\\BD = \sqrt{49 - 36} = \sqrt{13}cm\\\\AC^2 = AD^2 +DC^2\\\)

       \(=36 + 64\\=100\)

\(\\AC = \sqrt{100} = 10cm\)

Step-by-step explanation:

See image

Answer:

(a)48 inches, (b)the third quartile, (c) first ---> second quartile

Step-by-step explanation:

(a) because the right whisker reaches to that area.

(b) because the lines are closer together.

(c) because the lines are farther apart.

Answer: 89.99

(0.100 - 0.15) x = 76.49

0.85x = 79.49

x = 76.49/0.85

x = 89.99

Answer:  86.54

Step-by-step explanation: 86.54

Answer:

less than

Step-by-step explanation:

-1 2/3 = 1.666repeting

Answer:

8.2

4.5

6.5

Step-by-step explanation:

Answer:

4x^2

Step-by-step explanation:

This cannot be combined with the other variables because they are unlike terms

Explanation

The angles ABD and DBC are supplementary since they form a straight line. That means they add to 180 degrees.

(angle ABD) + (angle DBC) = 180

(134) + (2x) = 180

2x = 180-134

2x = 46

x = 46/2

x = 23

Answer: x=23 and the angle relation used was supplementary angles

Step-by-step explanation:

first, you know that angle abd is 134 so you subtract that from 180 and divide it by 2 because angle cbd is 2x and you know they equal 180 because they make a straight line.

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer: 125in squared.

5x5=25

5x10=50 divided by 2 =25

Repeat 3 more times

Add together

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

\(p = \frac{56}{9} \)

Step-by-step explanation:

\(p = \frac{7 \times 8}{9} \)

\(p = \frac{56}{9} \)

I hope this helps.

The measures are given as follows:

5. Total area: 2.102 x 10^7 km².

6. Distance between the points: square root of 50 units.

The total area is obtained by the sum of the areas of each sea/ocean, given as follows:

To add two numbers in scientific notation, the bases have to be equal, hence:

1.4056 x 10^7 = 14.056 x 10^6 (multiply the base by 10 and subtract by 1 the exponent.

Hence:

6.963 x 10^6 + 14.056 x 10^6 = 21.091 x 10^6 = 2.102 x 10^7 km².

The coordinates of the points are:

\((x_1,y_1)\) and \((x_2,y_2)\)

The equation for the distance is of:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Hence the distance between the points (−5, −3) and (−10, −8) is of:

\(D = \sqrt{(-5 - (-10))^2+(-3 - (-8))^2} = \sqrt{50}\)

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Answer:

  5.  (a) 2.1019×10⁷ km²

  14.  (c) √50 units

Step-by-step explanation:

You want the total area of the South China Sea and the Arctic Ocean given their individual areas are 6.963×10⁶ km² and 1.4056×10⁷ km², respectively. And, you want the distance between the points (-5, -3) and (-10, -8).

The sum of the areas of the two bodies of water is ...

  6.963×10⁶ km² +1.4056×10⁷ km² = (0.6963×10⁶ +1.4056) ×10⁷ km²

  = 2.1019×10⁷ km² . . . . . total area

Both of the addends have a precision of 10³ km², so that precision is maintained in the sum.

The distance between the points is found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-10 -(-5))² +(-8 -(-3))²) = √((-5)² +(-5)²) = √(25 +25)

  d = √50

The distance between the points is √50 units.

__

Additional comment

If the given numbers in problem 5 were multiplied, rather than added, their product would rightly be reported to 4 significant figures. The rule for addition is different from the rule for multiplication.

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Answer:

a is 11

Step-by-step explanation:

4+2(5)+-3 is ll

Answer:

3 hours

Step-by-step explanation:

We can use ratios to solve

30 km         45 km

---------   = ---------------

2 hours        x hours

Using cross products

30 * x = 2 * 45

30x = 90

Divide each side by 30

30x/30 = 90/30

x = 3

When a line segment is bisected, it means that it is divided into two equal parts. In this case, line segment AB is bisected at point G by ray XY. Therefore, point G is the midpoint of line segment AB. This means that point G is equidistant from both endpoints of the line segment, and that it divides the line segment into two equal parts. So, the correct statement about point G is that it is the midpoint of line segment AB.      

Line segment AB is bisected at point G by XY. Hence (option C), G is the midpoint of AB.

A line segment is a part of a line. It has an ending and starting point. Examples of line segments are the edges of a table, the side of a square or a rectangle.

A line bisector cuts the line segment into equal half. It intersects the other line segment at the mid-point.

A line bisector passes through the mid-point of the line segment.

Since G is bisecting AB, hence it will be the mid-point of line segment AB and not XY.

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The complete question is -

AB is bisected at point G by XY. Which of the following is true about point G?

A. G is the midpoint of XY

B. G is both the midpoint of XY and the midpoint of AB***

C. G is the midpoint of AB

D. none of these

Answer:

c

Step-by-step explanation:

\(1 - 65\%\)

\( = 1 - 0.65\)

\( = 0.35\)

\(0.35 = \frac{35}{100} = \frac{7}{20} \)

d. 7/20

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Answer:

A

Step-by-step explanation:

A is the only chart where 5 and 3 connect at an exact point

here is a meme( free of charge)

Answer:

At first, the triangle will be the same. Only the side would be changed. It will be congruent to the first. So, it will be the same as first.

Step-by-step explanation:

Answer: 4/7 is 40/70 and 7/10 is 49/70

Step-by-step explanation:

The equivalent fractions are 40/70 and 49/70 respectively.

A part of the whole is called a fraction. If there are 4 pieces in a pizza then 1/4 is a fraction denoting 1 slice of pizza.

The smallest number that is a common multiple to the denominator of two or more fractions is called the least common denominator.

Now, given fractions are 4/7 and 7/10, note that 70 is the smallest number that is a common multiple of 7 and 10, therefore, multiply the numerator and the denominator of the first fraction by 10 and the second fraction by 7.

Therefore, 4/7=40/70 and 7/10=49/70

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Answer: 84

gavin: 84

jim:42

krutika:14

Step-by-step explanation:

Answer:

Step 1: Write down the decimal as a fraction with the decimal number as the numerator and 1 as the denominator.

Step 2: Multiply both the numerator and denominator by 10^n, where n is the number of digits after the decimal point.

Step 3: Simplify the resulting fraction.

Using these steps, we can convert the given decimal numbers to fractions:

0.65

Step 1: 0.65 = 65/100

Step 2: Multiply numerator and denominator by 10 to get rid of the decimal point: 65/100 = 650/1000

Step 3: Simplify by dividing numerator and denominator by their greatest common factor of 50: 650/1000 = 13/20

Therefore, 0.65 expressed as a fraction in simplest form is 13/20.

2.¯5

To handle repeating decimal numbers, we can use the following method:

Step 1: Let x be the repeating decimal number.

Step 2: Multiply both sides of x by 10^n, where n is the number of digits in the repeating part of the decimal number.

Step 3: Subtract the original number from the number obtained in step 2 to eliminate the repeating part.

Step 4: Solve for x by dividing both sides of the equation obtained in step 3 by an appropriate factor.

Step 1: Let x = 2.¯5

Step 2: Multiply both sides by 10: 10x = 25.¯5

Step 3: Subtract the original equation from step 1: 10x - x = 25.¯5 - 2.¯5

Simplifying: 9x = 23

Step 4: Solve for x by dividing both sides by 9: x = 23/9

Therefore, 2.¯5 expressed as a fraction in simplest form is 23/9.

1.0¯24

Step 1: Let x = 1.0¯24

Step 2: Multiply both sides by 10^2 to eliminate the repeating part: 100x = 124.¯24

Step 3: Subtract the original equation from step 1: 100x - x = 124.¯24 - 1.0¯24

Simplifying: 99x = 123

Step 4: Solve for x by dividing both sides by 99: x = 123/99

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor of 3: 123/99 = 41/33.

Therefore, 1.0¯24 expressed as a fraction in simplest form is 41/33.

Step-by-step explanation:

0.65 expressed as a fraction in simplest form is 13/20.

2.5 expressed as a fraction in simplest form is 5/2.

1.024 expressed as a fraction in simplest form is 256/250.

0.65 expressed as a fraction in simplest form:

Write the decimal as a fraction by placing it over 1. In this case, 0.65 becomes 0.65/1.

Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.

In this case, multiplying by 100 will do the trick, so we get (0.65 × 100)/(1 × 100) = 65/100.

Lastly, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 65 and 100 is 5, so dividing both by 5 yields 13/20.

2.5 expressed as a fraction in simplest form:

Write the decimal as a fraction by placing it over 1. In this case, 2.5 becomes 2.5/1.

Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.

In this case, multiplying by 10 will do the trick, so we get (2.5 × 10)/(1 × 10) = 25/10.

Lastly, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 25 and 10 is 5, so dividing both by 5 yields 5/2.

1.024 expressed as a fraction in simplest form:

Write the decimal as a fraction by placing it over 1. In this case, 1.024 becomes 1.024/1.

Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.

In this case, multiplying by 1000 will do the trick, so we get (1.024 × 1000)/(1 × 1000) = 1024/1000.

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 1024 and 1000 is 8, so dividing both by 8 yields 128/125.

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