Dan invests £800 into his bank account. He receives 5% per year compound interest. How much will Dan have after 4 years? Give your answer to the nearest penny where appropriate.

Answer:

they all add one

and...

the position is multiplied by different numbers

Answer:

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

The graph of the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x is attached below.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To graph the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x, we need to perform the transformation of stretching the graph of f(x) by a factor of 3/4.

Determine the scale factor for the transformation. In this case, the scale factor is 3/4.

Starting at the x-intercepts and y-intercepts (if there are any), plot the points on the coordinate plane using the scale factor to stretch or shrink the graph as needed.

For example, the point (0,0) on the graph of f(x) becomes the point (0,0) on the graph of g(x). The point (1,1) on the graph of f(x) becomes the point (1, 3/4) on the graph of g(x).

Connect the plotted points with a smooth curve to obtain the graph of g(x).

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Answer:

k = -7

Step-by-step explanation:

Step 1: Write equation

-k/5 = 7/5

Step 2: Solve for k

Step 3: Check

Plug in k to verify it's a solution.

-(-7)/5 = 7/5

7/5 = 7/5

Answer:

200 kilometers

Step-by-step explanation:

since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.

An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.

Answer: 13x-1

Step-by-step explanation:

Step-by-step explanation:

y = -5/6x - 4

(0,-4) is the y intercept

the slope is -5/6, it descends 5 and goes 6 horizontally.

Answer:

9(2p-18) and 2(9p-18)

Step-by-step explanation:

The equivalent expression to the expression  18p - 36 are,

9(2p - 4p) and 2(9p - 18).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 18p - 36.

We know the distributive property states a(b + c) = ab + ac.

Now, The factors of 18 are, 1, 2, 3, 6, 9, 18.

Therefore,

18p - 36 can be written as,

9(2p - 4p) and 2(9p - 18).

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Answer:

36

Step-by-step explanation:

Substitute a and b

3|-9-3|

3|6|

Multiply your answer and you get 36

Answer:

7x=42=6

Step-by-step explanation:

7x=42

x=42/7

x=6

Answer:

Step-by-step explanation:

x    ← a number

7x   ← seven times the number

x - 42    ← forty-two less than the number

Seven times a number is forty-two less than the number.

7x  =  x - 42

-x      -x

6x  =  -42

÷6      ÷6

 x  =  -7

Answer:

p(A or more than 10) = 0.7 + 0.4 - 0.2 = 0.9

Step-by-step explanation:

Given the following probabilifu distribution :

Probability that show had animals in it :p(A) = 0.7

Probability that show aired more than 10 times : p(more than 10) = 0.4

Probability that show had animals and aired more than 10 times: p(A n more than 10) = 0.2

Recall:

P(A or B) = p(A) + p(B) - p(A n B)

Hence,

p(A or more than 10) = p(A) + p(more than 10) - p(A n more than 10)

p(A or more than 10) = 0.7 + 0.4 - 0.2 = 0.9

Answer:

simply no

Step-by-step explanation:

Answer: Hypothesis is "It is hot"

The general form of a conditional is "If hypothesis, then conclusion"

You may see it as "If P, then Q". P and Q are placeholders

In this case, the conclusion is "It is summer".

Answer:

142

Step-by-step explanation:

The computation of the Consumer Price Index (CPI) today is shown below:-

Real Salary today / Real Salary 5 years ago = CPI today ÷ CPI 5 years ago

CPI today ÷ 100 = 8.50 ÷ 6

= 142

Therefore for computing the Consumer Price Index (CPI) today we simply applied the above formula and the same is to be considered

Answer:

Step-by-step explanation:

y=kx

7/4=1.75

6/4=1.5

The equation in the form y =kx will be as y = 7/4 x .

Proportional the type of relationships between two variables where their ratios are equivalent.

In a proportional relationship, one variable is always a constant value by the other. That constant is known as the constant of proportionality.

A proportional relationship between the variables x and y is written as:;

y=k.x

For the given problem, y represents the cups of water needed for making x loaves of French bread.

We know that Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation;

7=k.4

Solving for k:

k = 7/4

The equation to model the problem;

y = 7/4 x

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Answer:

57 is the least out of the 4 numbers or integers here

Step-by-step explanation:

57,58,59,60

hope this helps ;)

Answer:

x=3

Step-by-step explanation:

15-2x=3x

solve for x:

15=5x

divided by 5:

3=x

Answer:

x = 3

Step-by-step explanation:

15  -2x = 3x     {Add 2x to both sides}

15 = 3x + 2x

15 = 5x

15/5 = x         {divide both sides by 5}

x  = 3

Answer:

71

Step-by-step explanation:

6285 ÷ 89 = 71

Answer:

Step-by-step explanation:

area of shaded region=area of whole region-area of white space

=9×13-5×[13-(3+2)]

=117-5×8

=117-40

=77 m²

Answer: C

Step-by-step explanation:

Answer:

3 x10^4

Step-by-step explanation:

Answer: A! x=-1 2/5, y= 1 3/5

Step-by-step explanation:

First put -3x+3y=9 into slope-intercept form(y=mx+b)

3y=-3x+9

then solve for y

y=-1x+3

enter your y-intercept into the equation below..

2x-7(-1x+3)=-14

2x+7x-21=-14

2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)

2x-7x=7

-5x=7 divide -5 into 7

7/5

x=-1 and 2/5

then input x back into the first equation

-3(7/-5)+3y=9

21/5+3y=9

3y=9-21/5

3y=24/5

divide 3 into 24/5

=24/15=1 and 9/15 reduce it anddd

y=1 and 3/5