Billy invests £800 for 5 years in savings account By the end of the years he has received a total of £96 simple interest Work out the annual rate of simple interest

Answer: 6.66 metres

Step-by-step explanation:

Given that the two particles, A and B, are initially 37.5 m apart.

Acceleration a = velocity/time

Make time t the subject of the formula.

Time t = velocity/acceleration

Time taken by particle A will be

Time t = 2/0.6 = 3.33 seconds

Let's use 2nd equation of motion

S = Ut + 1/2at^2

Distance covered by particle A will be achieved By substitute the values for speed and acceleration into the formula

S = 2 × 3.33 + 1/2 × 0.6 × 3.33^2

S = 6.66 + 0.3 × 11.1

S = 9.99 m

Time taken by particle B will be

Time t = 3/0.4 = 7.5 seconds

Distance covered by particle B will be by using the same formula

S = 3 × 7.5 + 1/2 × 0.4 × 7.5^2

S = 22.5 + 0.2 × 56.25

S = 33.75 metres

Adding the distance covered by particle A

Distance = speed × time

Distance = 2 × 3.33 = 6.66

the distance from A's starting point to C. Is 6.66 metres

3.142*4.5²=63.6255

Answer=63.63

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

Answer:

A=61.8\ units^2

Step-by-step explanation:

Answer:

all real numbers

Step-by-step explanation:

f(x) = 2|x − 1| + 3

The domain is what values can we put in for x

There is no limit to what we can put in for x

therefore the domain is all real numbers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To figure out if something is increasing or decreasing, you must read the graph from left to right. If it appears to be going down, then it is decreasing. When it appears to be to be going up, it is increasing. For both A & B, the graph is decreasing. When you look from when the x-values are between 2.5 and 3.5, you can see the line going down. That means it is decreasing.

I hope this helps!

Answer:

Supplementary angle = 98°

Complementary angle = 8°

Step-by-step explanation:

By definition, sum of complementary angles is equal to 90°.

Therefore, complementary angle of 82° = 90° - 82°

                                                                 = 8°

Similarly, sum of supplementary angles is equal to 180°.

Therefore, supplementary angle of 82° = 180° - 82°

                                                                  = 98°

The supplementary angle 98°

The complementary angle 8°.

Answer:

g(x) = [tex]8(\frac{1}{2})^x[/tex]

Step-by-step explanation:

Let the equation of the graphed exponential function is,

g(x) = [tex]a(b)^x[/tex]

Two points (0, 8) and (1, 2) lie on this graph.

For (0, 8),

g(0) = [tex]a(b)^0[/tex]

8 = a(1)

a = 8

For other point (1, 2),

g(1) = [tex]a(b)^1[/tex]

2 = ab

2 = 8b

b = [tex]\frac{2}{8}[/tex]

b = [tex]\frac{1}{4}[/tex]

Therefore, given exponential function wiil be,

g(x) = [tex]8(\frac{1}{2})^x[/tex]

Answer:

8⋅(1/4)^x

Step-by-step explanation:

trust me thats the answer

Answer:

8,181 ft^2

Step-by-step explanation:

Area of the parking lot = Area of the whole structure - Area of the building

The building is a square of 12cm by 12cm

which is 72ft by 72ft since 1 cm is 6 ft

its area is thus 72 * 72 = 5,184 ft^2

The structure measures 16.5 cm by 22.5 cm

Multiplying the sides by 6, we have 99 ft by 135 ft

So its area is 99 * 135 = 13,365 ft^2

The area of the parking lot = 13,365 - 5,184 =

8,181 ft^2

Answer:

155 and 25

Step-by-step explanation:

Answer: 155

Step-by-step explanation:

Two Lines that intersect form TWO angles. The sum of the Two Angles is always 180 degrees.

180-25 = 155

Answer:

  {0, undefined}

Step-by-step explanation:

There are 10 unique letters in the expression, so each one must stand for a different digit. Assuming the digits are multiplied as indicated, the digit 0 must appear in either the numerator or the denominator.

If 0 appears in the numerator, the value of the fraction is 0.

If 0 appears in the denominator, the value of the fraction is "undefined."

The only possible values of this fraction are {0, undefined}.

Answer:

Step-by-step explanation:

We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:

9 |   1     -5     7

____________

First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:

9 |  1     -5     7

______9____

     1

Now add down the column to get:

9 |  1   -5    7

_____9____

     1    4

Now multiply 4 by 9 and put that product up under the 7:

9 |   1    -5     7

______9__36

      1     4

Now add to see what the remainder is:

9 |   1     -5     7

_______9_36

      1      4    R43

we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.

So the answer is No.

Answer:

4(2x-3)

Step-by-step explanation:

Let the number be x

⇒ Multiplying by 2 makes it 2x

⇒ Subtracting 3 makes it 2x-3

⇒ Multiplying the whole by 4 gives 4(2x-3)

Answer: y= 5, 10, 15, 20, 25

Step-by-step explanation:

1, 2, 3, 4, and 5 each are 1 number apart

5, 10, 15, 20, 25 each are 5 numbers apart

the rate of change is 1/5

Answer:

120

Step-by-step explanation:

The sum of the angles in a quadrilateral is 360 degrees

2t+t+2t+t = 360

6t = 360

Divide by 6

6t/6 = 360/6

t = 60

Angle Z = 2t

Angle Z = 2*60 = 120

Answer:

[tex]120 \: \: degrees[/tex]

Second answer is correct.

Step-by-step explanation:

The sum of the angles in a qudrilateral = 360°

[tex]t + 2t + t + 2t = 360 \\ 6t = 360 \\ \frac{6t}{6} = \frac{360}{6} \\ t = 60[/tex]

angle z

[tex]2t = 60 \times 2 \\ \: \: \: \: \: \: \: = 120[/tex]

Answer:

4

Step-by-step explanation:

No greater number than 4 can be x because otherwise it'll be equal to or more than 5

The largest possible value x could take given that it must be an integer of x < 5 is; x = 4

We first have to understand the meaning of integers.

Integers are defined as whole numbers which could be positive or negative or even zero.

Now, we want to find the highest possible integers that are less than 5 from;

x < 5

Now, the first integer lower than 5 will be the highest possible one. That integer is 4.

Thus, x = 4.

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Answer:

Step-by-step explanation:

83% of 408:

83/100 x 408 = 338.64 pounds

41% of 53 :

41/100 x 53 = 0.41 x 53 = 21.73 kg

97% of 345m:

0.97 x 345 = 334.65

please mark brainiest

83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m

percentage, a relative value indicating hundredth parts of any quantity.

We need to find

a)83% of 408 pounds

Firstly we need to convert 83% to decimal by dividing with 100.

83/100=0.83

Now multiply 0.83 with 408

0.83×408=338.64

b)41% of 53 kg

Firstly we need to convert 83% to decimal by dividing with 100.

41/100=0.41

Now multiply 0.41 with 53

0.41×53=21.73

c)97% of 345m

Firstly we need to convert 97% to decimal by dividing with 100.

97/100=0.97

Now multiply 0.97 with 345

0.97×345=334.65m

Hence 83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m

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Answer:d

Step-by-step explanation on ed

Answer:

x=9

Step-by-step explanation:

x in (-oo:+oo)

3*x-((2/9)*x)-(1/5) = 124/5 // - 124/5

3*x-((2/9)*x)-(1/5)-(124/5) = 0

3*x+(-2/9)*x-1/5-124/5 = 0

25/9*x-25 = 0 // + 25

25/9*x = 25 // : 25/9

x = 25/25/9

x = 9

Answer:

1/5

Step-by-step explanation:

i got it right

Answer:

77.4

Step-by-step explanation:

The first term, a, of the series is 3.

It is a geometric progression, so we can calculate the common ratio, r:

3.75 / 3 = 1.25

The sum of n terms of a geometric progression is given as:

[tex]S = \frac{a(1 - r^n)}{(1 - r)}[/tex]

where n =  number of terms considered

The sum of the first 9 terms will therefore be:

[tex]S_9 = \frac{3(1 - 1.25^9)}{(1 - 1.25)} \\\\S_9 = \frac{3(1 - 7.45)}{-0.25}\\ \\S_9 = \frac{3 * -6.45}{-0.25}\\ S_9 = \frac{-19.35}{-0.25}\\ \\S_9 = 77.4[/tex]

Answer:

The area of the 5m by 8m is 40 I don't know what you want with the other numbers but this is for the sentence

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Did da test

Answer:

B

Step-by-step explanation:

A = 1/2π  * r²

A/(1/2π) = r² (Divide by 1/2π)

r = √(2A/π) (Take the square root of both sides then simplify)

Answer:

B. r=[tex]\sqrt{\frac{2A}\pi}}[/tex]

Step-by-step explanation:

First multiply both sides by 2. This gives us 2A=[tex]\pi[/tex]r². Now, divide both sides by [tex]\pi[/tex]. Now we have [tex]\frac{2A}{\pi}[/tex]=r². Now, square root both sides. The final answer is r=[tex]\sqrt{\frac{2A}{\pi}}[/tex]

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

a + 14a = 180°

15a = 180°

a = 180/15

a = 12°

At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

Given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

Applying the knowledge of ratio, transversal and parallel lines, we can determine the measures of all 8 angles that are formed when a transversal intersects two parallel lines as shown in the image attached below.

Let < 1 and < 6 be the two same-side interior angles whose measures are in the ratio, 1:14.

Thus:

Recall:

Same-side interior angles are always supplementary. That is,

m<1 + m<6 = 180 degrees.

Let's apply ratio to find the measure of <1 and <6.

[tex]m \angle 1 = \frac{1}{1 + 14} \times 180\\\\m \angle 1 = \frac{1}{15} \times 180\\\\m \angle 1 = 12^{\circ}[/tex]

[tex]m \angle 6 = \frac{14}{1 + 14} \times 180\\\\m \angle 6 = \frac{14}{15} \times 180\\\\m \angle 6 = 168^{\circ}[/tex]

Since we know the measure of <1 and <6, we can find the measure of others as follows:

In conclusion, given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

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Answer:

x=5

Step-by-step explanation:

The 2 angles are inside of a right angle (the little square in the corner denotes a right angle). This means they are complementary angles, and add to 90 degrees.

8x+50=90

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

50 is being added to 8x. The opposite of addition is subtraction. Subtract 50 from both sides.

8x+50-50=90-50

8x=90-50

8x=40

x is being multiplied by 8. The opposite of multiplication is division. Divide both sides by 8.

8x/8=40/8

x=5

x is equal to 5.

Answer:

The per capita GDP will be "$62,790".

Step-by-step explanation:

So that the above seems to be the right answer.

Answer:

x< -8

Step-by-step explanation:

To solve the inequality, we must get x isolated.

-1/2x>4

We have to perform the inverse operation to both sides. x is being multiplied by -1/2. The inverse of multiplication is division. Divide both sides by -1/2.

-1/2x / -1/2 > 4/ -1/2

When dividing by fraction, you can also multiply by the reciprocal.

To find the reciprocal, flip the numerator and the denominator.

-1/2–> -2/1

-2/1 *-1/2x > 4* -2/1

x> 4* -2/1

When multiplying or dividing by a negative number in an inequality, you must flip the inequality sign.

x < 4* -2/1

x < 4*-2

x< -8

Answer:

Option (3). (5, 9.2)

Step-by-step explanation:

If Point P divides the line segment QR in the ratio of m : n.

Let the coordinates of the point P are (x, y)

Since coordinates of the point P are given by,

x = [tex]\frac{m(x_2)+n(x_1)}{m+n}[/tex]

y = [tex]\frac{m(y_2)+n(y_1)}{m+n}[/tex]

Where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the ordered pairs representing points Q and R.

If [tex](x_1,y_1)[/tex] represents (2, 5) and [tex](x_2,y_2)[/tex] represents (7, 12),

Coordinates of point P(x, y) which divides the segment in the ratio of 3:2.

x = [tex]\frac{3(7)+2(2)}{3+2}[/tex]

x = [tex]\frac{25}{5}=5[/tex]

y = [tex]\frac{3(12)+2(5)}{3+2}[/tex]

y = [tex]\frac{46}{5}=9.2[/tex]

Therefore, Point P will be represented by (5, 9.2)

Option (3) will be the answer.

Answer:

10 3/25

Step-by-step explanation:

46/100x22 =46x22 divide by 100

1012/100

10 12/100 both twelve and hundred can be divided by 4 thus final answer is ten whole(10) and three over twenty five(3/25)

Answer:

9 feet

Step-by-step explanation:

The height of the ball in feet is given by the polynomial:

[tex]h(t) = -16t^2+50t+3[/tex]

where t is the time in seconds.

After 3 seconds, t = 3:

[tex]h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet[/tex]

The height of the ball after 3 seconds is 9 feet.

Answer:

B you need to plug it in the calculator

The approximate value of tan C is 0.38 (Option D).

To find the approximate value of tangent (tan) of angle C, we can use the given side lengths of the right-angled triangle ABC:

Hypotenuse (c) = 13.93

Base (b) = 13

Height (a) = 5

The tangent of angle C is defined as the ratio of the height (a) to the base (b):

tan C = a / b

tan C = 5 / 13

Now, let's calculate the approximate value of tan C:

tan C ≈ 0.3846

Among the given options (0.36, 0.93, 2.6, 0.38), the closest approximation to the value of tan C is option D: 0.38.

Therefore, the approximate value of tan C is 0.38.

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Complete Question:

What is the approximate value of tan C?