Dan invests £1500 into his bank account.
He receives 2.5% per year simple interest.
How much will Dan have after 4 years?
Give your answer to the nearest penny where appropriate.

Answer:

-43

Step-by-step explanation:

m=8, n=11, and p=-3

mp=8x-3=-24

-24-m=-24-8=-32

-32-n=-32-11=-43

Answer: 47

Step-by-step explanation: I’m not in high school so how would I know I just want to get brainly points

Answer:

I and H

Step-by-step explanation:

Answer:

3. 3:12 part to whole

Step-by-step explanation:

because there are 3 Reese's & 12 pieces of candy in total so it would be part of the candy to the entire bag of candy.

Answer:

domain is the max and min x values

range is the max and min y values

Step-by-step explanation:

Answer:

(x1,y1) = (1, 2)

(x2,y2) = (-1,0)

Step-by-step explanation:

Given: f(x) = x²(x + 1) and g(x) = x + 1

To find the intersection, then set functions equal to each other to solve for x first.

x²(x + 1) =  x + 1; divide by (x+1) from both sides

[tex]x^{2}[/tex] = 1; take the square root to both sides

x = ±1;

The graphs intersect at two points (x1,y1) and (x2,y2)

Use x=1

f(1) = x²(x + 1) = [tex]1^{2}[/tex](1+1) = 2

g(1) = x + 1 = 1 + 1 = 2

(x1,y1) = (1, 2)

Use x= -1

f(-1) = x²(x + 1) = [tex](-1)^{2}[/tex](-1+1) = 0

g(-1) = x + 1 = -1 + 1 = 0

(x2,y2) = (-1,0)

The points of intersection of two functions are required.

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

The given functions are

[tex]f(x)=x^2(x+1)[/tex]

[tex]g(x)=x+1[/tex]

Equating them with each other

[tex]x^2(x+1)=x+1\\\Rightarrow x^2=\dfrac{x+1}{x+1}\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1[/tex]

Substitute the [tex]x[/tex] value in one of the functions.

[tex]x=1[/tex]

[tex]f(1)=1(1+1)=2[/tex]

[tex](1,2)[/tex]

[tex]x=-1[/tex]

[tex]f(-1)=(-1)^2(-1+1)=0[/tex]

[tex](-1,0)[/tex]

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

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Answer:

[tex]\frac{1170pi}{360m}[/tex]km

Step-by-step explanation:

To find the length of the minor arc, you find the circumference of the circle multiplied by the arc angle, which is [tex]\frac{45}{m}[/tex] over 360 degrees.

Circumference of the circle with center B = 13×2×pi

                                                                     = 26pi

Length of minor arc = 26pi × [tex]\frac{45}{m}[/tex] ×[tex]\frac{1}{360}[/tex]

                                 = [tex]\frac{1170pi}{360m}[/tex]km

Answer:

n = (1/9)u

Step-by-step explanation:

This is a direct variation relationship of the form

n = ku

For n = 2, u = 18.

2 = k * 18

We solve for k.

k = 2/18

k = 1/9

Now we use k in the equation of the relationship.

n = (1/9)u

Answer:

1. slope is 2

2. a is 5

3. b is 6

4. 0

Step-by-step explanation:

Answer:

s = -0.75

Step-by-step explanation:

Answer:

There are 9 possible isosceles triangles

Step-by-step explanation:

Inequalities

Let's consider an isosceles triangle with equal side lengths x and unequal side y.

The perimeter of that triangle is:

P = x + x + y =2x + y

The perimeter has a fixed value of 20 units, thus:

2x + y = 20

Solving for y:

y = 20 - 2x

The solutions of this equation have two restrictions:

* Both x and y must be positive

* Both x and y are integer (whole) numbers.

The first restriction leads to inequality:

20 - 2x > 0

Solving for x:

x < 10

Since x must also be positive, only the following numbers are valid solutions for x: {1,2,3,4,5,6,7,8,9}

There are 9 solutions for x, giving this set of 9 solutions for y: {18,16,14,12,10,8,6,4,2}

Thus, there are 9 possible isosceles triangles

Answer:

Here:)

Step-by-step explanation:

x= -8

Answer: x = -8

Step-by-step explanation:

8x = 4x - 32

subtract 4x from both sides

4x = -32

divide by 4 on both sides

x = -8

:)

Answer:

For each test run, the minimum time is 45 mins  or 3/4  ____ hours

and the maximum time is 67.5 minutes or 1 hour 7.5 minutes.

Step-by-step explanation:

If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in hours) for a test run is  15 mins for 1 mile

For 4 miles the time is 1 hour

For 1 miles the time will be 1/4 hour

For 3 miles the time will be 3/4 hours

and for 4.5 miles the time will be 4.5/4 hours

Now reversing

1 hour = 4miles

15 mins= 1 mile

45 mins = 3 miles

30 mins = 2 miles

67.5 min= 4.5 miles

For each test run, the minimum time is ____ hours

the minimum distance is 3 miles and time taken is 45 mins

and the maximum time is ____ hours.

The maximum distance is 3+ 1.5= 4.5 miles and time taken is 67.7 minutues or 1 hour 7.5 minutes.

Answer:

c. is your answer dear.

Step-by-step explanation:

By SSS theorem which is Side Side Side.

Hope you got it.

Answer:

b = [tex]\frac{2}{9}[/tex]

c = [tex]\frac{4}{9}[/tex]

Step-by-step explanation:

There are two 6 on the board out of 9 numbers

There are four numbers greater than 10 out of the nine possiblilites

Answer:

? = 2

Step-by-step explanation:

Given:

y = -3x + 1

6x + 2y = ?

Slope-intercept form:

6x + 2y = a

y = a/2 - 3x

y = -3x + a/2

or y = -3x + 1/2a

Go back to given equations:

y = -3x + 1

y = -3x + 1/2a

y = y

-3x + 1  = -3x + 1/2a

1 = 1/2a

a = 2

Answer:

Step-by-step explanation:

24

x

2

+

72

x

−

72

Answer:

This triangle is asking for the opposite side. We are given the hypotenuse and theta (28°.) Sin is opposite over hypotenuse.

Answer:

x=7.51

Step-by-step explanation:

Answer:

+2

Step-by-step explanation:

Draw a vertical line through x = -6.  Determiene the corresponding y-value.  It is +2.  This is g(-6).

The value of the function g(x) when x = - 6, g(-6) is 2.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x).

Now, The value of the function g(-6) is the same as the value of the y-coordinate when the x-coordinate is - 6.

From the graph, we observe that when x = - 6, y = 2.

So, The value of g(-6) = 2.

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Answer:

the equation for the line will be y=-8x-5

Step-by-step explanation:

the slope is -8 and the y-intercept is (0,-5)

so we put that into the slope-intercept form equation

y=mx+b

y=-8x-5

Answer:

The directional earing is N 30° E

Step-by-step explanation:

The given velocity vector is (25, 25·√3), therefor, we have;

R = 25·i + 25·√3·j

The angle of inclination of the direction of the boat with the horizontal = Arctan (y/x)

Where;

(x, y) = The coordinate of the components of the velocity of the boat

Therefore;

Arctan (y/x)  =  Arctan (25·√3/25) = Arctan (√3) = 60° North of East

The directional bearing which is the bearing relative to the northern direction is given as follows;

The directional earing = 90° - 60° = N 30° E.

Answer:

A on Egde

Step-by-step explanation:

i got it right

Answer:

x≥−8

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4x−6≤26

Step 2: Add 6 to both sides.

−4x−6+6≤26+6

−4x≤32

Step 3: Divide both sides by -4.

−4x/−4 ≤ 32/−4

x≥−8

Answer:

mass of 50 L of R = 15p + 35q

Step-by-step explanation:

1L of P = p g

1L of Q = q g

R = 3P + 7Q

total = 10

P = 3/10 R

Q = 7/10 R

R = 50 L

50 L × 0.3 = 15 L the amount of P in L

15 L of P = 15p g

35 L 0f Q = 35 q g

then

mass of 50 L of R = 15 p + 35 q grams

Answer:

890/3 thats the anwser

Step-by-step explanation:

Answer:

$595 dollars in a week

Step-by-step explanation:

We know that Mae Ling earns $390 per week plus sales commissions of 5.0%, if we express this would be: (x refers to sales)

So, it would be:

Answer:

$2.80

Step-by-step explanation:

17-3=14

14 divided by 5=

2.8

Add 0 since it's about money.

$2.80