You and your classmate went to get lunch and your total bill (before taxes) was $48.50. You liked the food and want to leave a tip of $20%. What is the tip?

The values of a and b from the given complex numbers is 8 and -3 respectively.

The standard form of representing complex number is expressed as z = x + iy

Given the complex numbers z = 8 – 3i, and z2 = a + bi

To get the values of a and b, we need to compare both expressions as shown:

For the real part;

a = 8

For the imaginary part:

-3i = bi

-3 = b

Swap

b = -3

Hence the values of a and b from the given complex numbers is 8 and -3 respectively.

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The size of the population increases when the growth rate is positive and

decreases for a negative growth rate.

The completed table is presented as follows;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]

Reasons:

The table is presented as follows;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]

The population in growth rate is given by the following formula;

P = a·(1 + r)ˣ

Where;

a = The initial population in 2003 = 40.5 million

P = The population in 2029 = 20.9 million

x = The number of years = 2029 - 2003 = 26

Therefore;

20.9 = 40.5 × (1 + r)²⁹

[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]

[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]

The population growth rate is r ≈ -0.02255 = -2.255 %

The completed table is therefore;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]

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Answer:

1/4, 3/5

Step-by-step explanation:

0.8/3.2=8/32=1/4

0.3/0.5=3/5

Answer:

0

Step-by-step explanation:

Sin 30° = ½

Cos 30° = √3/2

Sin 60° = √3/2

Cos 60° = ½

Therefore,

(½ + √3/2) - (√3/2 + ½)

[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]

[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]

[tex] \frac{0 - 0}{2} [/tex]

Answer: 0

For more information on trigonometric refer to this link

Answer:19.2

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

pq is the same as p x q.

then substitute into the above equation 2.4 x 8= 19.2 as a decimal and a whole number

Answer:

y=150x+50

y=200+150x

Step-by-step explanation:

y=150x+50

y=200+150x

Answer:

Good Luck - You can do it!!!!!!!

Step-by-step explanation:

I once had 3 months of math to do in one night, but I was able to complete it through online videos. Never Give Up!

Answer:

Sorry about that

Step-by-step explanation:

I hope you finished it all

Answer:

0.57 or 0.56

Step-by-step explanation:

passenger fares + tax revenue = operating costs

Thus:

passenger fares = operating costs - tax revenue

= $69 million - $30 million

= $39 million

The ratio of passenger fares to total operating costs is:

$39 million

= 0.5652.

$69 million

To the nearest hundredth, the farebox recovery ratio is 0.57.

Answer:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price

Answer:

3 days

Step-by-step explanation:

We know that there is 5/2 buckets of bananas, and each day 5/6 is eaten, so the answer is 5/2 divided by 5/6 which is 3

Answer:

3 days

Step-by-step explanation:

2 1/2 ÷ 5/6 = 3

Therefore, the bananas will last 3 days.

Answer:

The answer is 73.0 or just 73

x= −2 and y=3

I can't explain this very well, sorry.

The answer is C) Step 3

Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.

The right steps are:

-4/5 / 8/-3

Flip the second part to multiply:

-4/5 * -3/8

Multiply:

12/40

Simplify:

3/10

I hope this helps!

d ≥ -7     ?  (ignore.....................................................................................................................................)

Answer:

Step-by-step explanation:

The answer will be:-  x = 1

Answer:

can you please explain that a little more

Answer:4

Step-by-step explanation: $0.15 x 4 = 0.6

0.60 divide by 0.15

= 4.

answer is 10,029 ft/h if I'm not wrong

Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.

In the function:

Talisa's expression is given by:

[tex]f(x) = 12x[/tex]

The cost of using a game facility is $1 for every 12 minutes, hence, the cost per minute is:

[tex]c = \frac{1}{12}[/tex]

And the correct expression for the cost is:

[tex]f(x) = \frac{x}{12}[/tex]

Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.

A similar problem is given at https://brainly.com/question/24372153

Step-by-step explanation:

maybe you can try to measure each of the ways maybe and you can get the equation

Answer:

of what???????..???..

Answer:

1˚C

Step-by-step explanation:

First, you take 5 away from 6

5 = 5°C colder than in London

6 = The temperature in London

1ºC.     6 minus 5 equals 1.

and also that is quite easy for high school.

Answer:

3

Reasoning:

[tex]3(5+3)=15+9[/tex]

Distribute three to the numbers to get 15+9.

Residuals are used to determine how the line of best fit relates to the data points

A residual value of -0.8 means, the point is 0.8 units above the line of best fit

The residual value is given as:

[tex]\mathbf{Residual = -0.8}[/tex]

When the residual value is less than 0 (i.e. negative), then the point is above the line of best fit.

So, the interpretation of a residual value of -0.8 is that, the point is 0.8 units above the line of best fit

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Answer: $2.34

Step-by-step explanation: first add $3.67+$3.67 that equals $7.34

then subtract 7.34 by 5.00 to get 2.34

Norris Russell saved $2.34

Answer:

$3.67+$3.67=$7.34

Subtract 7.34 by 5.00 to get 2.34

Norris Russell saved $2.34