Sian invests £7000 for 3 years at 4% per annum compound interest. Find the compound interest earned in the 3 years. ​

Answer:

x= -2

Step-by-step explanation:

-0.2(25x+5)-5 = 4

We move all terms to the left:

-0.2(25x+5)-5-(4) = 0

We add all the numbers together, and all the variables

-0.2(25x+5)-9 = 0

We multiply parentheses

-5x-1-9 = 0

We add all the numbers together, and all the variables

-5x-10 = 0

We move all terms containing x to the left, all other terms to the right

-5x= 10

x=  10/-5

x= -2

Answer:

x=-2

Step-by-step explanation:

step 1 -5x-1-5=4

step 2 -5x-6=4

step 3 -5x=10 cause you add 6 on both sides

step 4 and then divide both sides by -5 to get x=-2

      The question gives us two points,  (-3,-3) and (-9,5), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m)   = (y₂ - y₁) ÷ (x₂ - x₁)

                                           = (5 -(-3)) ÷ (-9 -(-3))      

                                           =  (5 + 3) ÷ (-9 + 3)    

                                           =   - ⁴/₃  

Checking my answer visually:  

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. Once we have that equation, we can graph it to see if it passes through the two points. If it does, then we calculated the slope correctly.

                                ⇒  y - (-3) = - ⁴/₃ (x - (-3)        [ using the point (-3, -3)]

                                       y + 3  = - ⁴/₃ (x + 3)

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.  

Hi there!  

»»————-　★　————-««

I believe your answer is:  

24

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Converting 75 percent to a decimal: } 75\%\rightarrow \frac{75}{100}\rightarrow 0.75\\\\\rightarrow 0.75 * 32 = \boxed{24}\\\\\\\rightarrow \text{75 percent of 32 is \textbf{24}.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

138° because LCD is corresponding to JKH

Answer:

A. y + 5 = –3(x – 1); y = –3x – 2

Step-by-step explanation:

Point-slope form:

Slope-intercept form;

EXPLANATION

The point-slope form of a line is given by:

We need to find the slope using the formula:

Let us substitute the point (1, –5) and (–3, 7).

This implies that,

The point slope form now becomes,

To find the slope intercept form, we expand to obtain;

Answer 16644

Step-by-step explanation:

Answer:

16,644

Step-by-step explanation:

.83 is rounded up to 1, add that to the remaining numbers

Answer:

Each side of the Rhombus is equal to 4x

Answer:

[tex] |4( - 2) + 5(3)| = | - 8 + 15| \\ = |7| = 7[/tex]

Answer:

7

Step-by-step explanation:

Given:

|4b + 5c|

Plug in the b and c values:

|4(-2) + 5(3)|

Multiply 4(-2) and 5(3):

|-8 + 15|

Combine like terms:

|7|

Absolute value:

7

Hope this helps, have a nice day :))

Answer:

There are 1440 minutes in a day

Answer:

1,440 minutes

Step-by-step explanation:

Multiply 60 minutes times 24 hours and it will equals 1,440.

Answer:

220km

Step-by-step explanation:

Time taken (t) = 2hrs 45 min

= 2.75 hrs

AV =80km/hrs

Displacement or Distance (d) =?

We have,

AV = d÷t

80 = d÷2.75

80 × 2.75 = d

d = 220km

Answer:

[tex]\frac{10}{21}[/tex]

Step-by-step explanation:

Substitute the given values into the expression

- 4c - a

= - 4 × - [tex]\frac{2}{7}[/tex] - [tex]\frac{2}{3}[/tex]

= [tex]\frac{8}{7}[/tex] - [tex]\frac{2}{3}[/tex] ( the LCM of 7 and 3 is 21 ) , then

= [tex]\frac{8(3)}{7(3)}[/tex] - [tex]\frac{2(7)}{3(7)}[/tex]

= [tex]\frac{24}{21}[/tex] - [tex]\frac{14}{21}[/tex]

= [tex]\frac{24-14}{21}[/tex]

= [tex]\frac{10}{21}[/tex]

Answer:

Step-by-step explanation:

8 - something = -5

so negative something has to be 5 bigger then 8 to have a -5 left at the end

8 - (8+5) = -5

8 - 13 = -5

Answer:

Sarah is correct: lines l and m are not parallel.

Step-by-step explanation:

Given that m < 1 = 130°, and m < 7 = 45°,

Sarah is correct, that lines l and m are not parallel.

If lines l and m were parallel cut by the transversal, n, then its exterior angles < 1 and < 7 that lie on the same side of the transversal should be supplementary.  In other words, m < 1 and m < 7 should have a sum of 180°

Since according to the given prompt that m < 1 = 130°, and m < 7 = 45°, the sum of their measure add up to 175°, and not 180°.

Therefore, lines l and m are not parallel.

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Answer:

13.896 kg

Step-by-step explanation:

Volume of Gold Bar = Area of [Trapezium x Length of Bar]

Length of Bar = 16 cm

Area of Trapezium = 2 × Area of Triangle + Area of Rectangle

Area of Triangle = 0.5 × 5 × 3 = 7.5 cm²

2 × Area of Triangle = 2 × 7.5 = 15 cm²

Area of Rectangle = 6 × 5 = 30 cm²

Area of  Trapezium = 15 + 30 = 45 cm²

Volume of Gold Bar = 45 × 16 = 720 cm³

Density of Gold = 19.3 g/cm³

Mass of Gold Bar = 720 × 19.3 = 13896 g = 13.896 kg

Mass of Gold Bar = 13.896 kg

Therefore the mass of the Gold Bar is: 13.896 kg (kilograms).

Answer:

13.896kg

Step-by-step explanation:

First, find the volume of the trapezium.

Volume = area of cross-sectional area times the length (16cm)

[(a+b)/2] times height

(6+12)/2 x 5

(18/2) x 5

9 x 5

= 45 <-- area of cross section

45 x 16 = 720 cm^3 <-- volume

To find the mass, multiply volume times density

720 x 19.3 = 13 896g  = 13.896kg

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Answer:

The bottom left

Step-by-step explanation:

To solve we can create an equation to represent the problem given. In this case, the equation should be linear. This is because the total cost will change by the same amount each time the number of burritos changes. The slope (the amount the cost changes per burrito) is $6.50 because that is how much one burrito costs. So, the function would look like- y=6.5x. Plug in the x-values for the number of burritos and that will give the cost. Once you solve this equation, the bottom left chart is the only one that matches the values.

Answer:

letter D

Step-by-step explanation:

Answer: 11.31

Step-by-step explanation:

Answer:

30,000 brooooooooooooo

Answer:

30,000

Step-by-step explanation:

3 x 10000

=30000

Answer:

3.4166666666667

Step-by-step explanation:

Answer:

You will use the formula y2-y1 over x2-x1.

This would make 7-5 over 1+3.

7-5=2 and 3+1=4. 2/4=1/2.

The answer is 1/2 :) If it turns out wrong, then the answer is most definitely 2.

Answer:

slope=-4 y-intercept=1

Step-by-step explanation:

m is slope and b is y-intercept in y=mx+b

Answer:

Slope: -4

intercept: (0,1)

Step-by-step explanation:

24-6=18(one group)

18×3=54 because kevon split them into 3 groups

Answer:

- The graph is decreasing over its entire domain

- The graph is symmetrical about the origin

Step-by-step explanation:

The graph has an unremovable discontinuity at X=0, therefore all continuity answers are incorrect.

The graph is neither symmetrical about the x-axis nor y-axis, but if it were to be rotated around the origin, it would be symmetric.

On both sides of the graph, the slope is decreasing.

Therefore:

- The graph is decreasing over its entire domain

- The graph is symmetrical about the origin

Answer:

red=6/22 green=12/21

Step-by-step explanation:

since you have 6 red worms out of 22 you have a 6/22 probability to get one. Once you eat it you will have a total of 21 worms and since you didnt touch green worms the probabilty is still 12/21 (21 because you removed completely a worm)

Using the equation of an parabola, it is found that the value of p is 0.5.

The equation of a parabola that is concave to the left or to the right, that is, that has directrix y = k, and vertex (h,k), is given by:

[tex](y - k)^2 = 4p(x - h)[/tex]

The focus is at: (h, k + p).

The directrix is at: y = k - p

For this problem, we have that:

Since [tex]k = 3 - p[/tex]:

[tex]3 - p - p = 4[/tex]

[tex]2p = 1[/tex]

[tex]p = \frac{1}{2}[/tex]

[tex]p = 0.5[/tex]

The value of p is 0.5.

A similar problem is given at https://brainly.com/question/17987697

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The Above expression can be Evaluated to get :

or

Using the concept of inequality, the number of minutes which ensures that the park makes profit while also ensuring that the park isn't overcrowded ls expressed below :

Given the Parameters :

The number of minute to keep the gates opened :

c + rm ≤ 4500

850 + 12m ≤ 4500

12m ≤ 4500 - 850

12m ≤ 3650

m ≤ (3650÷ 12)

m ≤ 304.16

Hence, the gates should be left opened for at most 304 minutes

B.)

In other to allow atleast 2800 in for profit sake

850 + 12m ≥ 2800

12m ≥ 2800 - 850

12m ≥ 1950

m ≥ 162.5

The gates should be opened for 163 minutes.

C.)

In other to make profit by allowing atleast 2800 people in while also ensuring that not more than 4500 people are in the park ; the inequality representing the number of minutes the gates should be open is :

D.)

Expressing as a single interval statement :

Learn more :https://brainly.com/question/15748955