Dan invests £8200 into his bank account.
He receives 2% per year compound interest.
How much will Dan have after 7 years?
Give your answer to the nearest penny where appropriate.

Answer:

The way is in the steps.

Step-by-step explanation:

y = sin(x) has a period of 2π and amplitude of 1.

a) y = a * sin b(x - c) - d

y = 7/2 * sin 2/3(x - π/4) - 2

b) amplitude is affected by a = 7/2 , so the amplitude is 7/2.

The range is (-5.5 , 1.5) because looking at the graph, but also by making a table to help find the range.

c) Period = 2π/b

Period = 2π/2/3 = 3π

d) Horizontal Shift left/right is dependent on c.

c = π/4 , so Horizontal Shift to the Right by π/4

Vertical Shift up/down is dependent on d.

d = -2 , so Vertical down shift by 2.

The statement that can never be true is the data set contains a value of 3.

A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number.

minimum number = 8

maximum number = 22

To learn more about box plots, please check: brainly.com/question/27215146

#SPJ1

Answer:

y = 3x + 7

Step-by-step explanation:

apply the rule

[tex]y-y_{0} =m(x-x_{0} )[/tex]

where

[tex]x_{0}, y_{0}[/tex]

they are taken from the point  (-2, 1), and "m" is the slope (3)

Then

[tex]y-1=3(x--2)[/tex]

[tex]y-1=3(x+2)[/tex]

[tex]y=3x+6+1[/tex]

[tex]y=3x+7[/tex]

Hope this helps

The cost of a tea cup and a cup of coffee in the shop is £0.90 and £1.50 respectively.

let

x + 2y = 3.90

3x + y = 4.20

Multiply (1) by 3 to eliminate x

3x + 6y = 11.70

3x + y = 4.20

5y = 7.50

y = 7.50/5

y = 1.50

Substitute y = 1.50 into (1)

x + 2y = 3.90

x + 2(1.50) = 3.90

x + 3 = 3.90

x = 3.90 - 3

x = 0.90

Learn more about equation:

https://brainly.com/question/2972832

#SPJ1

When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one. Therefore we can conclude that the problem has no solution.

Answer: A problem with no solution is a problem with no applicable answer or the answer is not a real number or x ∉ R

Answer:

1kg= 1000 g

3 kg=3000 g

so,

3000×11/5=6600 g=6kg 600 g

Answer:

6.6kg

Step-by-step explanation:

11/5 of 3kg mathematically means

11/5 × 3

= 33/5= 6.6kg

The mistake he made is that he Yuri divided by n instead of n -1.

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group.

In order to determine the standard deviation, take the following steps:

• Determine the mean of the observation: 14

Determine the difference between each value and the mean and then square the result: (12 - 14)² + (14 - 14)² + (9 - 14)² + (21 - 14)² = 78

Determine the mean of the sum of the squared differences and then find the square root of the mean: √78/(n - 1) = 5.1

To learn more about standard deviation, please check: https://brainly.com/question/26201837

#SPJ1

Answer:

Yuri divided by n instead of n -1.

Step-by-step explanation:

The answer above is correct.

The similarity ratio by taking the cube root of each volume is 8/13,  ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.

It is defined as a three-dimensional space enclosed by an object or thing.

Part 1:

Volume of larger solid = (512) cubic cm

Volume of small solid = 2197 cubic cm

Ratio of the volumes = 512/2197

Taking cube root:

Similarity ratio = 8/13

Part 2:

Similarity ratio by taking the cube root of each volume = 8/13

Taking the square of the above ratio:

= 64/169

Part 3:

64/169  = 960/SA(larger)

SA(larger) = 2535 square cm

Thus, the similarity ratio by taking the cube root of each volume is 8/13,  ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.

Learn more about the volume here:

https://brainly.com/question/16788902

#SPJ1

Answer:

Step-by-step explanation:

Formulas

d1 = 20 + 50*t                       This is dump truck #1

d2 = 70*t                               This is dump truck #2

d1 = d2                                  This is given in the problem

Solution

if d1 = d2 then you get 20+50t = 70t as your working equation.

20 + 50t = 70t                        Subtract 50t from both sides

20 +50t-50t = 70t-50t           Combine

20 = 20t                                  Divide both sides by 20

20/20 = 20t/20                      

1 = t

Answer

after 1 hour Dump Truck 2 will catch dump truck 1

Answer:

hre is your tense chart

Step-by-step explanation:

mark me brainliest

Answer:

y=-2x+10

Step-by-step explanation:

i graphed it i graphed all of them

Answer:

y-2x-2

Step-by-step explanation:

The way I would do this is by first using the information given and making an equation in point-slope form, before bringing it to y=mx+b.

We know that the slope is -2, and we have a point, (2,-6). The formula for equations in point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. So, we can insert the given information into this formula to get [tex]y+6=-2(x-2)[/tex].

Next, we distribute the slope to the the parenthesis to get [tex]y+6=-2x+4[/tex]

Then, we subtract 6 from both sides to get [tex]y=-2x-2[/tex]

Since this equation is now in the form [tex]y=mx+b[/tex], the answer is [tex]y-2x-2[/tex]

Hope this helps! :)

Answer:

x = ±2

Step-by-step explanation:

Given :

y = 64 - 16x²

=========================================================

Add 16x² to each side (take y = 0) :

⇒ 0 + 16x² = 64 - 16x² + 16x²

⇒ 16x² = 64

=========================================================

Divide both sides by 16 :

⇒ 1/16 × 16x² = 1/16 × 64

⇒ x² = 4

=========================================================

Taking square root on both sides :

⇒ √(x²) = √4

⇒ x = ±2

Answer:

No solution.

Step-by-step explanation:

When two lines have the same slope but different y-intercepts, they are parallel.  Parallel lines never intersect, and therefore there is no solution.

[tex]m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}[/tex]

[tex]m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}[/tex]

As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.

The cost of one pair of shoes is $8.

The cost of one shirt is $12.

2a + b = 32 equation 1

2a + 3b = 48 equation 2

Where:

Subtract  equation 1 from  equation 2

2b = 16

b = 16/2

b = $8

Substitute for b in equation 1

2a + 8 = 32

2a = 32 - 8

2a = 24

a = 24 / 2

a = $12

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

#SPJ1

Answer:

-1 and -4

Step-by-step explanation:

-1 + -4 = -5

-1 times -4 = 4

give brainiest please!

hope this helps ;)

Answer:

25

Step-by-step explanation:

50/2=25

Answer:

This is put together very weird, can you put the answers more clearly?

Step-by-step explanation:

?

The final coordinates after the transformations will be:

A" is (-1, 5),

B" is (0, 1),

C" is (-3, -1).

Reflect across the y-axis: For any point (x, y), the reflection across the y-axis is (-x, y).

Translation by vector <1, 3>: For any point (x, y), the new coordinates after translation are (x + 1, y + 3).

Let's apply these transformations step by step:

A (2, 2):

Reflect across y-axis: (-2, 2).

Translate by <1, 3>: (-2 + 1, 2 + 3) = (-1, 5).

So, A" is (-1, 5).

B (1, -2):

Reflect across y-axis: (-1, -2).

Translate by <1, 3>: (-1 + 1, -2 + 3) = (0, 1).

So, B" is (0, 1).

C (4, -4):

Reflect across y-axis: (-4, -4).

Translate by <1, 3>: (-4 + 1, -4 + 3) = (-3, -1).

So, C" is (-3, -1).

Learn more about transformation

https://brainly.com/question/29788009

#SPJ2

You are correct that the slope of line AB is 2. To find the slope of the line CD, we can apply the slope formula again (like I assume you did with AB).

[tex]m=\frac{15-7}{4-0}=\boxed{2}[/tex]

Therefore, since the slopes of lines AB and CD are equal, they are parallel

are there any answer choices?????

Step-by-step explanation:

Answer:

x = 5 only

≡ On a graph, the point touches (5, 0), making x equal to 0.

≡ In other words, you must replace y with 0 to solve for x. There is no y term in this problem, so you must determine y by separating the coefficients into groups and determining each part.

Answer:

x = -45

Step-by-step explanation:

(3/5)x - 15 = (6/5)x + 12

(6/5)x - (3/5)x = -15 - 12

(3/5)x = -27

0.6x = -27

x = (-27)/0.6

x = -45

Answer:

0.0178 is the answer

The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

The sequence is given as:

50,−10,2,....

The above sequence is a geometric sequence, and it has the following parameters:

This means that the product of the current term and -1/5 gives the next term.

i.e.

[tex]a_n = -\frac{a_{n-1} }{5}[/tex]

Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

Read more about recursive formula at:

https://brainly.com/question/1275192

#SPJ1

Answer:

Step-by-step explanation:

2500( 7 years )

????? (15 years )

15*2500=37 500

Answer:

x = 7 or -6

Step-by-step explanation:

Let a number be x.

Its square = x²

x - x² = 42

-x² + x - 42 = 0

-(x² - x + 42) = 0

x² - x + 42 = 0

(x - 7)(x + 6) = 0

x - 7 = 0 or x + 6 = 0

x = 7 or x = -6

Some examples of additions with integers with 5 terms or more are:

In mathematics, an integer is a whole number that is used to represent a value and is not a fraction.

Furthermore, we can make the addition of integers as they would increment based on the number they are being incremented with and this has been shown above.

Read more about integers here:

https://brainly.com/question/17695139

#SPJ1

Answer: Heyaa! ^^

Your Answer when multiplied is.. 6x²−11x−10

Step-by-step explanation:

                    - FOIL EXPLANATION -

It stands for "First, Outer, Inner, Last"

· multiplying the First terms,

· multiplying the Outer terms,

· multiplying the Inner terms, and

· multiplying the Last terms

Hopefully this helps you! ~