What is 90x25?? Subject: mathematics

A man receives an annual increase of #30000 and after a period of 10 years service, the man has the salary of #1014. Find his in

Paladinen [302]

I think you intended writing #30 as his pay rise instead of #30000. I solved the problem using #30 as his annual pay rise.

Answer:

The man's initial salary was #714

Step-by-step explanation:

Extracting the key information from the question:

*** A man got a pay raise for 10 years.

*** His current salary is #1,014

*** He gets a pay raise of #30 annually.

*** We are simply required to calculate his initial salary before he started receiving pay rise.

Now, To calculate his initial salary before he started receiving pay rise, let us denote that initial salary that we are currently unaware of by "a".

Since his salary as at today is #1,014 and he has also received this pay rise of #30 for 10 years, we can calculate his initial salary before he started receiving pay rise every year with the following equation:

a + 30(10) = 1014

That is -

Initial salary + [pay rise × number of years] = current salary.

a + 30(10) = 1,014

a + 300 = 1014

a = 1014 - 300

a = #714

Therefore the man's initial salary was #714

7 0

3 years ago

The expressions below model different possibilities for the area of a pool. Identify which of the following expressions have at

Anna007 [38]

<h3>Answer: Choice B is correct</h3>

========================================================

Explanation:

Use a graphing tool like GeoGebra, Desmos, or your graphing calculator to plot each expression given as a separate y equation. Four parabolas should result.

The x intercept is the same as the root or zero of a function.

You should find that only choice B has a root thats larger than 4. That specific root being x = 7.

----------------------------

A non-graphing approach:

You can use the quadratic formula or the factoring method to find the roots.

For choice A, it factors to (x+5)(x+6) = 0. The roots are x = -5 and x = -6 which aren't greater than 4. So we cross choice A off the list. Choices C and D are similar stories.

On the other hand, choice B factors to (x-7)(x+2) = 0 and it has roots of x = 7 and x = -2. This is another way to see why choice B is the answer.

Here are the steps for the quadratic formula for choice B

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-5)\pm\sqrt{(-5)^2-4(1)(-14)}}{2(1)}\\\\x = \frac{5\pm\sqrt{81}}{2}\\\\x = \frac{5\pm9}{2}\\\\x = \frac{5+9}{2} \ \text{ or } \ x = \frac{5-9}{2}\\\\x = \frac{14}{2} \ \text{ or } \ x = \frac{-4}{2}\\\\x = 7 \ \text{ or } \ x = -2\\\\$

The quadratic formula is handy in case factoring is either not possible, or guess-and-check is too lengthy of a process. As you can probably tell, we could use the quadratic formula's results to help construct the factored form.

8 0

3 years ago

Jane works at a jewelry store and receives a 35% commission for everything she sells. Her sales this week were $5,500. How much

tresset_1 [31]

Step-by-step explanation:

5500×35=192500

/100=1925 $

6 0

3 years ago

Please help with these two math problems<br><br> 1. 7^x ÷ 7^y =<br> 2. z^10x^y ÷ z^5 =

IceJOKER [234]

Answer:

1. 7^(x-y)

2. z^5x^y

Step-by-step explanation:

The applicable rule of exponents is ...

(a^b)/(a^c) = a^(b-c)

__

1.

$\dfrac{7^x}{7^y}=\boxed{7^{x-y}}$

__

2.

$\dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}$

8 0

3 years ago

Which of the following inequalities is not true?

Lemur [1.5K]

Answer:

$| - 9| = |9|$

This is because modulus number will be always positive

Hope this is correct and helpful

HAVE A GOOD DAY!

4 0

3 years ago