Ask question

Ask question

All categories

Alex_Xolod [135]

3 years ago

15

The salary of two governing bodies in 2008 was $169.3 thousand, and has increased by approximately $4 thousand per year since th

en. How much will the salary be in year seven

1 answer:

IceJOKER [234]3 years ago

4 0

Answer:

Step-by-step explanation:

Find, find the total increase in salary for 7 years;

If 1 year = $4,000

7 years = ?

=7*4000

=28,000 in total

Original salary = $169,300

Add the total increase in salary to the original salary;

169,300 + 28,000 = 197,300

Therefore, in 7 years, the salary would be $197,300

You might be interested in

Which of the following functions best represents the graph?

marshall27 [118]

Answer:

$f(x)=x^3+x^2-4x-4$

Step-by-step explanation:

From the graph, the x-intercepts are;

$x=-2$

$x=-1$

$x=2$

These are root of the polynomial function represented by the given graph.

By the remainder theorem;

$f(-2)=0,f(-1)=0,f(2)=0$

According to the factor theorem, if $(x-a)$ is a factor of $f(x)$ , then $f(a)=0$

This implies that;

$(x+2),(x+1),(x-2)$ are factors of the required function.

Hence; $f(x)=(x+1)(x-2)(x+2)$

We expand using difference of two squares to obtain;

$f(x)=(x+1)(x^2-4)$

We expand using the distributive property to get;

$f(x)=x^3-4x+x^2-4$

Rewrite in standard form to obtain;

$f(x)=x^3+x^2-4x-4$

6 0

3 years ago

Read 2 more answers

What is the solution to this equation 1/2n^2+18=0

ololo11 [35]

Answer:

n = ±6 .

Step-by-step explanation:

A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,

$\rm\implies -\dfrac{1}{2}n^2+18=0$

Subtracting 18 both sides ,

$\rm\implies -\dfrac{1}{2}n^2 = -18$

Multiplying both sides by -2 ,

$\rm\implies -2\times\dfrac{1}{2}n^2 = -2\times -18$

On simplyfing , we get ,

$\rm\implies n^2= 36$

Putting squareroot both sides ,

$\rm\implies n= \sqrt{36}$

This equals to ,

$\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }}$

<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>n </u><u>is </u><u>±</u><u>6</u><u> </u><u>.</u>

6 0

3 years ago

What is the value of<br> 3(1.5 - x) when x = 0.5?

Reika [66]

Answer:

3

Step-by-step explanation:

3 (1.5 - 0.5) = 3 (1) = 3 * 1 = 3. The value of the expression is 3.

Tell me if I'm wrong :)

5 0

2 years ago

Read 2 more answers

Alla [95]

$\bf \begin{array}{clclll}
3^{1001}&\qquad &4^{1002}\\
\uparrow &&\uparrow \\
a&&b
\end{array}\\\\
-----------------------------\\\\
(a+b)^2-(a-b)^2\implies (a^2+2ab+b^2)-(a^2-2ab+b^2)
\\\\\\
a^2+2ab+b^2-a^2+2ab-b^2\implies 2ab+2ab\implies 4ab
\\\\\\
now\qquad 4(3^{1001})(4^{1002})=k12^{1001}\qquad 
\begin{cases}
12^{1001}\\
(4\cdot 3)^{1001}\\
4^{1001}\cdot 3^{1001}
\end{cases}$

$\bf \\\\\\
4(3^{1001})(4^{1002})=k(4^{1001}\cdot 3^{1001})\implies \cfrac{4(3^{1001})(4^{1002})}{4^{1001}\cdot 3^{1001}}=k
\\\\\\
4\cdot \cfrac{3^{1001}}{3^{1001}}\cdot \cfrac{4^{1002}}{4^{1001}}=k\implies 4\cdot 4^{1002}4^{-1001}=k\impliedby 
\begin{array}{llll}
\textit{same base}\\
\textit{add the}\\
exponents
\end{array}
\\\\\\
4\cdot 4^{1002-1001}=k\implies 4\cdot 4^1=k\implies 16=k$

6 0

3 years ago

3x - 4y = -16<br> 2x - 4y = -8<br> what is x and y

FinnZ [79.3K]

Answer:

x = -8 , y = -2

Step-by-step explanation:

Solve the following system:

{3 x - 4 y = -16 | (equation 1)

2 x - 4 y = -8 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{3 x - 4 y = -16 | (equation 1)

0 x - (4 y)/3 = 8/3 | (equation 2)

Multiply equation 2 by 3/4:

{3 x - 4 y = -16 | (equation 1)

0 x - y = 2 | (equation 2)

Multiply equation 2 by -1:

{3 x - 4 y = -16 | (equation 1)

0 x+y = -2 | (equation 2)

Add 4 × (equation 2) to equation 1:

{3 x+0 y = -24 | (equation 1)

0 x+y = -2 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -8 | (equation 1)

0 x+y = -2 | (equation 2)

Collect results:

Answer: {x = -8 , y = -2

4 0

3 years ago