MATHEMATICS HIGH SCHOOL

Say that Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually. If the Thai government wants to raise $70 billion in tax revenue, approximately where should it set the income tax rate?

Answers

Answer 1
Answer: First we have to multiply the number of working people by their average annual salary: 35,709,487 * $8630 = $308,172,872,810. Then we have to calculate which percent of that sum represents $70,000,000,000. r = ( 70,000,000,000 / 308,172,872,810 ) * 100 = 22.7%. Answer; The income tax rate should be approximately 22.7%.
Answer 2
Answer:

Answer:

c

Step-by-step explanation:The answer is c which is 23%

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The balance in Alex's bank account is $675. The accountearns 6% simple interest calculated twice per year. If Alex
makes no deposits or withdrawals for 2 full years, the
balance in his account (rounded to the nearest dollar) will
be -
Select one:
O
$852
$715
$837
$756

Answers

Answer:

$852

Step-by-step explanation:

From the given question, the following are given:

Present value, PV = $675

Rate, r = 6% = 0.06

Number of years, n = 2 years

Number of times per year, m = 2

The balance in his account is the future value (FV), so that;

Future value = PV(1+r)^(nm)

                     = 675(1+0.06)^((2*2))

                     = 675 x 1.26248

                     = 852.174

Future value = $852

Thus, the balance in Alex's account would be $852.

Decide whether this statement is always true, never true, or sometimes true, and explain why: In a quadratic equation of the form 0 = ax2 + bx + c, there will be two real solutions if a and c are of opposite signs

Answers

Answer:

Always true

Step-by-step explanation:

Here, we want to evaluate if the given statement is true

The discriminant D can be calculated using the formula;

b^2 - 4ac

if D is greater than 0, then we will have only real roots

In a case where a and c are of opposite signs;

then -4ac will always give a positive value which can be added to b^2

This positive value will ensure that D is greater than zero and hence we can have only real roots

So this assertion is always true if a and c are of opposite signs

A bicycle has a listed price of $849.955 before tax. If the sales tax rate is 6.5%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

$905.21

Step-by-step explanation:

.065 x 849.955 = 55.25

849.955 + 55.25 = 905.205

Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 centimeters longer than twice the length of the first shelf. The third shelf is 12 centimeters shorter than the first shelf. The remaining shelf is 4 centimeters longer than the first shelf. If Robert must use the entire 2.5 meter board for the shelves, what is the length of the second shelf, in centimeters?

Answers

114cm /1.14m
If we call the length of the first shelf x, shelf two is 2x+18, shelf 3 is x-12 and shelf 4 is x+4.
The total length of board is 250cm
the total length of the shelves is 5x+10 and the whole board is used so 5x+10 = 250
5x = 240 (-10 from both sides)
x = 48 (divide both sides by 5)
board 2 is 2x+18
2 x = 96+18
      = 114cm

Find decimal notation.
0.6%=

Answers

you obtain:  0.6%= 0.6/100=0.006

Answer:

0.006

Step-by-step explanation:

The sum of the squares of two consecutive positive even integers is 340. what are the integers?

Answers

12 squared and 14 squared.
12 squared is 144 and 14 squared is 196
144 + 196 = 340
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