Neil invested £8000 in a savings account for 2 years. He earned £640 simple interest over the two years.
What was the interest rate?

Answer:

A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. The side opposite the obtuse angle in the triangle is the longest.

Step-by-step explanation:

Hope this helps explain what was needed to be solved! :)

Answer:

The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].

Step-by-step explanation:

From Complex Analysis, we remember that complex numbers are numbers whose form is:

[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)

Where [tex]i = \sqrt{-1}[/tex].

In addition, the distance from the origin is defined by the following Pythagorean identity:

[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)

The following condition must be satisfied:

[tex]\|s\| = 2[/tex]

Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:

[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)

The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

A complex number, written in rectangular form is

[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]

The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula

[tex]|z|=\sqrt{a^2+b^2}[/tex]

Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy

[tex]|z|=2[/tex]

thus, the set we are looking for is

[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

where [tex]\mathbb{C}[/tex] is the set of all complex numbers

Learn more about complex numbers here: https://brainly.com/question/12274048

Answer: I just took the test so the answer would be y=3,000x+12,000

Step-by-step explanation: hope this help thx for the points :D

Answer:

Equations with one solution: [tex]-2(x-3) = 2x-6[/tex]

Equations with no solution:

[tex]6(x+5) = 6x+11\\5(x-2) = 5x-7[/tex]

Equations with infinite many solutions: [tex]-3(x-4) = -3x+12[/tex]

Step-by-step explanation:

We will solve each equation to see if it has one solution, no solution or infinite many solutions.

An equation where the value of variable can be found has one solution.

An equation with no solution has both sides different.

An equation with infinite solution will have both sides equal after solution(number)

So,

Equation 1:

5(x-2) = 5x-7

[tex]5(x-2) = 5x-7\\5x-10 = 5x-7\\5x-5x = -7+10\\0 = 3[/tex]

As both sides are not equal, equation has no solution.

Equation 2:

[tex]-3(x-4) = -3x+12\\-3x+12 = -3x+12\\-3x+3x = -12+12\\0=0\\[/tex]

As both sides are equal the equation has infinite many solutions.

Equation 3:

[tex]-2(x-3) = 2x-6\\-2x+6 = 2x-6\\-2x-2x = -6-6\\-4x = -12\\\frac{-4x}{-4} = \frac{-12}{-4}\\x = 3[/tex]

As x=3, the equation has only one solution.

Equation 4:

[tex]6(x+5) = 6x+11\\6x+30 = 6x+11\\6x-6x+30 = 11\\30 =11[/tex]

The equation has no solution.

Hence,

Equations with one solution: [tex]-2(x-3) = 2x-6[/tex]

Equations with no solution:

[tex]6(x+5) = 6x+11\\5(x-2) = 5x-7[/tex]

Equations with infinite many solutions: [tex]-3(x-4) = -3x+12[/tex]

Answer:

lol is this a test? are u cheating!!!!???

Step-by-step explanation:

Answer:

where is the graph

Step-by-step explanation:

did your teacher put in a graph

Answer:

You can buy 8 pizzas

Step-by-step explanation:

$58 - $10 = $48

$48/$6 = 8

Answer:

$15

Step-by-step explanation:

let the hourly rate of pay for Ben  = B

let the hourly rate of pay for Judy  = J

Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;

              4J + B = 75 ----- i

Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120

               2J + 6B  = 120 --- ii

Now, we should solve the expression;

   Multiply equation ii by 2 and equation i by 1;

            4J + B = 75 ----- i    x 1  ;    4J + B  = 75          -- iii

            2J + 6B  = 120 --- ii  x 2 ;   4J + 12B  = 240    ---iv

Now,

 equation iv - iii;

                   11B  = 165

                      B  = $15

So, solving for J;

          4J + B = 75

         4J + 15  = 75

          4J  = 75 - 15  = 60

          J  = $15

Answer:

commercial =  9

movie = 5

Step-by-step explanation:

Step one:

let the number of commercials be x and movies be y

so

40x+130y=1010-------------1

since there are a total of 14 commercials and movies combined

x+y=14--------------2

Hence the systems of equation is

40x+130y=1010------1

x+y=14-------------------2

Step two:

from equation 2

x=14-y

substui]te the value of x in  equation 1

40(14-y)+130y=1010

560-40y+130y=1010

collect like terms

130y-40y=1010-560

90y=450

divide both sides by 90

y=450/90

y=5

movies is 90

put y=5 in equation 2

x+5=14

x=14-5

x= 9

commercial is 9 in numbers

and movie is 5

Answer:

40c+130m=1010

c+m=14

Step-by-step explanation:

Let c=the number of commercials

Let m=the number of movies

​

system of equations:

40c+130m=1010

c+m=14

Answer:

the answer is -3

have a nice day

Answer:

g(-2) = 6

General Formula and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

g(x) = -4x - 2

g(-2) is x = -2

Step 2: Evaluate

Answer:

infinite solutions

Step-by-step explanation:

Given

x + 3 + 2x = 4 + 3x - 1 ( simplify both sides )

3x + 3 = 3x + 3

Since the equation is the same on both sides.

This indications the equation has an infinite number of solutions

Answer:

84°

Step-by-step explanation:

Answer:

84

Step-by-step explanation: It says 4 high which meanS added by four then it says 7 lower than it means subtract by it.

you got find out if the 800 is in ml or a diffent one

Answer:

Im going to guess a i have no idea tho

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

B (6:17)

Step-by-step explanation:

The values of red and white are 8 and 4, so you add them. The ratio should then be 12:34 because 34 is the total of all values. When simplified, 12:34=6:17

Answer:

im thinking c add them all together and you get that 17:6 if u kow how to add :^

Step-by-step explanation:

Answer:

105.2

Step-by-step explanation:

54+50=104

.79+.23=1.02

104+1.02=105.2

Hope this helps.

Answer:$4.56

Step-by-step explanation:Take $54.79 and subtract it by $50.23, to see the difference in how much more money Rachel earned.

Answer:

A≈31415.93cm²

Step-by-step explanation:

Answer:

This question is actually a riddle. The answer to this riddle is, "Buoy meets gull."

Step-by-step explanation:

Answer:

ligand-gated channel.

Step-by-step explanation:

Answer:

86.1

Step-by-step explanation:

because if it it trigonometry u do the inverse operation of tan

so its tan-1 (215/15)

=86.0090869

if u want to round to 3sf its 86.1

hope it helped

Answer:

x= 34    y= 99    z= 41

Step-by-step explanation: A.

Answer:

D

Step-by-step explanation:

First I solved for the triangle on the right by adding 58 and 81 then subtracting by 180 and I got 41 degrees for the missing angle. Now for the left triangle you subtract 47 from 180 and you get 133. Answer choice D is the only answer choice that has x and y equal to 133 this is why answer choice D is the correct solution.

If you liked my answer then please mark it as the brainliest it would be much appreciated. Thanks!

Answer:

a. 90 pizzas

b. 12% decrease

Step-by-step explanation:

To receive a bonus, there must be 20% increase in the number of pizzas

Thus;

20% of 75 = 20/100 * 75 = 1500/100 = 15

So the number of pizza to be sold to receive the bonus will be 15 + 75 = 90

So now, we have 66 pizza sold today;

We can see that there was a decrease from 75

Percentage decrease will be;

(new value - old value)old value * 100%

= (66-75)/75 * 100%

= -9/75 * 100%

= -0.12 * 100% = -12%

This shows a 12% decrease

Answer:

[tex]\angle FCB[/tex]

Step-by-step explanation:

Supplementary angles are angles that sum to [tex]180^{\circ}[/tex]. In this case, [tex]\angle FCB[/tex] is supplementary to [tex]\angle DCF[/tex] since they add up to the angle of a straight line which is [tex]180^{\circ}[/tex].

Hope this helps :)

Answer:

C

Step-by-step explanation:

I took it on edg 2020

The Complex Alternative form to the expression (5[cos(π/4) + i sin(π/4)])^3 is given as: (Option C).

A complex number of equations will take the form x + yi, where x and y are real numbers and i is an indeterminate that satisfies the rule i² = -1.

Hence, the solution to the above is given as follows:

Step 1 - Ludooph's number pi is given as:

π ≈ 3.14159265

Step 2 - Divide  3.14159265/4

= 0.78539816

Step 3

Cos (0.78539816)

= 0.70710678

It is assumed that the trigonometric angle argument is in radians.

Step 4

Divide: 3.14159265 / 4

= 0.78539816

Step 5 - find the Sin of the result of step 4

sin(0.78539816)

= 0.70710678

It is assumed that the trigonometric angle argument is in radians.

Step 6

Multiply i by the result of Step No 5

=  i * 0.70710678

= 0.7071068i

Step 7 - Add the result of step no. 3 and the result of step number 6

= 0.70710678 + 0.7071068i

= 0.7071068+0.7071068i

Step 8 Multiply 5 by the result of step 7

= 5 * (0.7071068+0.7071068i)

= 5 * 0.70710678118655 + 5 * 0.70710678118655i

= 3.53553391+3.53553391i

= 3.53553391 +i(3.53553391)

= 3.5355339+3.5355339i

Step 9 - Exponentiate the results of Step 8 to the third power:

= (3.5355339+3.5355339i) ^ 3

= (5 × ei π/4)3 = 53 × ei 3 × π/4

= 125 × ei 3π/4

= -88.3883476+88.3883476i

If left in the Alternate Complex form, we have:
125[cos(3π/4) + i sin(3π/4)]

Learn more about Complex Forms at:
https://brainly.com/question/1466117?
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Answer:

w = 59°

Step-by-step explanation:

sides AC and BC are congruent thus Δ ABC is isosceles, then the 2 base angles are congruent, that is

∠ A = ∠ B , so

w = [tex]\frac{180-62}{2}[/tex] = [tex]\frac{118}{2}[/tex] = 59°