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Bess [88]
3 years ago
10

$1799.91 with 6% tax added

Mathematics
2 answers:
anastassius [24]3 years ago
6 0
To find tax : $1,799.91 x 1.06 = $1907.9046. Because it's money, it should be rounded to $1907.90.

Of course, another way to do it is by multiplying $1,799.91 by 0.06, and adding the product that you get to 1,799.91.

Either way, you will still get $1907.9046

Harrizon [31]3 years ago
6 0
1799.91 with 6%

First lets make 6% into a decimal

6% divided by 100 = 0.06 
6% = 0.06 

Now lets multiply 

1799.91 x 0.06 =   107.9946

Now lets add 

107.9946 + 1799.91 = 1,907.9046

The final answer is 1,907.9046


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Please HELP!!!!
Karolina [17]

Answer:


Step-by-step explanation:

Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.

When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.

Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?

What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!

Putting all of this together gives us:

z = |mag|*(cos(angle) + isin(angle))

= 2*cos(270°) + isin(270°)).

To verify, let's consider what cos(270°) and sin(270°) are.

If you graph cos(x) and look at 270°, you get 0.

If you graph sin(x) and look at 270°, you get -1.

So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.

3 0
3 years ago
At a football game, 65% of people attending were supporting the home team, while 35% were supporting the visiting team. If 1300
Misha Larkins [42]

Answer: 2000

Step-by-step explanation:

At a football game, 65% of people that will attend are supporting the home team, while 35% are supporting the visiting team. 1300 people that attended supported the home team.

To get the total number of people that attended the game, we have to find the number of away supporters as well.

Let the number of people that attended the game be y.

Therefore 65% of y = 1300

65/100 × y = 1300

0.65 × y = 1300

0.65y = 1300

Divide both side by 0.65

0.65y/0.65 = 1300/0.65

y = 2000

The total number of people attending the game is 2000.

8 0
3 years ago
A famous Premier-league footballer was quoted on Match of the Day to have a goal-scoring statistic of 0.36
stepan [7]

Answer:

13a.\  The \ probability\ of \ scoring\ a\  goal\  in\  a\  game\  is\  0.36\\\\b. 3 \ games

14.

a. \ \£90\\b. \ 26 \ weeks\\c. \ \£4,860

15. This is not possible since p(yellow)=0.10 which is less than the stated 0.35

Step-by-step explanation:

13 a. -A goal-scoring statistic is the probability of a player scoring one goal in any given game played.

-A 0.36 goal scoring statistic means that the player has a 0.36 or 36% chance of scoring a goal in any game that he is involved in.

b. To determine the number of games it takes to score a whole goal, we divide the probability by 1 goal:

Games=\frac{1 \ game}{p(goal)}\\\\=\frac{1}{0.36}\\\\=2.778\approx 3

Hence, it takes approximately 3 games to score a full goal.

14.-The cost of a GCSE retake is £600 and attracts a 15% deposit

#The 15% equivalent in actual pounds is calculated by multiplying the percentage by the total cost as:

C_g=0.15\times 600\\\\=\£90

Hence, the 15%  deposit amount equals £90

b.#The student pays the balance in a £20 per week scheme,the total number of weeks is calculated as:

t=\frac{Balance}{Rate}\\\\=\frac{600-90}{20}\\\\=\frac{510}{20}\\\\=25.5\approx 26

Hence, it takes 26 weeks to clear the balance.

c. Given that 10% is the equivalent of £450

-We divide this amount by 10% to get the 100% equivalent

#We know that 10%=0.10

100\%=\frac{540}{0.1}\\\\=\£5400

#Alternatively, 100% divided by 10% is 10. Multiply this value by £540:

=540\times 10\\\\=\£5400

We subtract the discount amount for the per-discount price:

Cost=Total -discount\\\\=5400-540\\\\=\£4860

Hence, it will cost £4,860 without the discount.

15. Since we are not given the proportion of colors in the bag, we assume that all the 10 beads have different colors.

-As such, the sample space is 10 and each color has an equal chance of being picked:

P(Each \ Color)=P(Yellow)=\frac{1}{10}\\\\\therefore P(Yellow)

Hence, this is impossible since 0.10<0.35

7 0
3 years ago
A triangle has sides with lengths of 6 inches, 8 inches is it a right triangle? ​
My name is Ann [436]

Answer:

Yes

Step-by-step explanation:

8²+6²=100

√100

=10

6 0
3 years ago
How do I add and subtract radicals with no like terms
liq [111]

Most real number arithmetic is pretty vacuous

\sqrt 2 + \sqrt 3 = \sqrt{2} + \sqrt{3}

That's about as good a way as possible to write this particular real number. But it's far from the only way.

(\sqrt 2 + \sqrt 3)^2 = \sqrt{2}^2 + 2\sqrt 2 \sqrt 3 + \sqrt{3}^2 = 5 + 2 \sqrt 6

so

\sqrt 2 + \sqrt 3 = \sqrt{5 + 2 \sqrt 6}

Sometimes you can factor something out and you have a common radical:

\sqrt{32} + \sqrt{128} = \sqrt{2^5} + \sqrt{2^7} = 4 \sqrt{2} + 8 \sqrt{2} = 12 \sqrt{2}

But most of them are vacuous,

3\sqrt{7} + 34 \sqrt{13} = 3\sqrt{7} + 34 \sqrt{13}


8 0
3 years ago
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