MATHEMATICS HIGH SCHOOL

You are required to pay quarterly estimates of the tax liability for your company. You expect the liability to be $36,450 for the full year. If you make even quarterly payments, how much will the payments be?

Answers

Answer 1

Answer:

Answer:

9112.5

Step-by-step explanation:

36,450 divided by 4.

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The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number?

Answers

The product of two consecutive integers is 420 is 20 and 21.

Consider x one the two number

Then the successor of x = x + 1

Then x and x+1 are the consecutive numbers

Now according to the question,

The product of two consecutive integers is 420,

Then, multiply x and x+1 and equate it to 420

Therefore,

⇒ x(x+1) = 420

⇒ x² + x = 420

⇒ x² + x - 420 = 0

This is a quadratic equation

Now solve it to find the value of x

We can write it as,

⇒ x² + 21x - 20x - 420 = 0

⇒ x(x + 21) - 20(x + 21) = 0

⇒ (x+21)(x-20) = 0

⇒ x = 20 or x = -21

Since number should be an integer so - 21 is absurd.

Hence, consecutive numbers are,

20 and 21

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E.J. has shown that a function, f(x), grows by 12% for every unit in the domain. What does this prove?The function f(x) is an arithmetic sequence.
The function f(x) is a geometric sequence.
The function f(x) is not a sequence.
This does not prove anything.

Answers

Answer:

B. The function f(x) is a geometric sequence.

Step-by-step explanation:

We are given that,

The function f(x) grows by 12% for every unit in the domain.

That is,

For the initial value, let the output value be x.

For the next value, the output will be $0.12x$

For the next value, the output will be $0.12* 0.12x=(0.12)^2x$

For the next value, the output will be $(0.12)^3x$ and so on..

Thus, the output values are increasing by the rate $((0.12)^2)/(0.12)=0.12$

Hence, the function f(x) represents a geometric sequence.

The answer is B I just took the test

What is the solution to the system of equations?6x – 9y = 16
2x – 3y = 7
A) (5, 1)
B) (2, -1)
C) (3, 2/9)
D) no solution

Answers

If you would like to know the solution to the system of equations, you can calculate this using the following steps:

6x – 9y = 16
2x – 3y = 7 /*(-3) ... -6x + 9y = - 21
___________
6x – 9y - 6x + 9y = 16 - 21
0 = - 5

The correct result would be D) no solution.

The gcf of 135 225 270

Answers

The greatest common factor of 135 225 and 270 is 135/225 = 3/5

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The GCF of 135, 225, and 270 is 45.

The GCF (Greatest Common Factor) is the largest number that divides evenly into two or more numbers. To find the GCF of 135, 225, and 270, we need to find the common factors of the three numbers and choose the largest one.

The factors of 135 are: 1, 3, 5, 9, 15, 27, 45, 135.

The factors of 225 are: 1, 3, 5, 9, 15, 25, 45, 75, 225.

The factors of 270 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.

The common factors of 135, 225, and 270 are: 1, 3, 5, 9, 15, 45.

The largest common factor is 45. So, the GCF of 135, 225, and 270 is 45.

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Which equation best represents the revenue for selling n raffle tickets at $3.50 each?

Answers

You have to multiply the price of the tickets by the number of tickets sold to obtain revenue.

p = 3.5
n = number of tickets sold

r = 3.5n

3.50n - Cost of n tickets = profit

Mario paid $44.25 in taxi fare from the hotel to the airport. the cab charged $2.25 for the first mile plus $3.50 for each additional mile. how many miles was it from the hotel to the airport

Answers

The distance from the hotel to the airport was 12 miles.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

From the information given, the taxi fair is equal to the initial cost of first mile added to the result of multiplying the cost per mile for the number of miles, which is:

t=2.25+3.50x, where:

t is the b

x is the number of miles

Now, you can replace t with 44.25 and solve for x to find the miles:

44.25=2.25+3.50x

42 = 3.5x

x = 42/3.5

x = 12

Therefore, the distance from the hotel to the airport was 12 miles.