All categories

4 years ago

What’s the gross pay

Mathematics

1 answer:

Alisiya [41]4 years ago

4 0

Answer:it's the total amount of money an employee can receive before taxes & the deduction taken out

Step-by-step explanation:

You might be interested in

You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. a. Write an exponential decay mod

lorasvet [3.4K]

Answer:

a. $y=830*(0.87)^x$

b. The value of stereo system after 2 years will be $628.23.

c. After approximately 4.98 years the stereo will be worth half the original value.

Step-by-step explanation:

Let x be the number of years.

We have been given that you purchased a stereo system for $830. The value of the stereo system decreases 13% each year.

a. Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

$13\%=\frac{13}{100}=0.13$

Upon substituting our given values in exponential decay function we will get

$y=830*(1-0.13)^x$

$y=830*(0.87)^x$

Therefore, the exponential model $y=830*(0.87)^x$ represents the value of the stereo system in terms of the number of years since the purchase.

b. To find the value of stereo system after 2 years we will substitute x=2 in our model.

$y=830*(0.87)^2$

$y=830*0.7569$

$y=628.227\approx 628.23$

Therefore, the value of stereo system after 2 years will be $628.23.

c. The half of the original price will be $\frac{830}{2}=415$ .

Let us substitute y=415 in our model to find the time it will take the stereo to be worth half the original value.

$415=830*(0.87)^x$

Upon dividing both sides of our equation by 830 we will get,

$\frac{415}{830}=\frac{830*(0.87)^x}{830}$

$0.5=0.87^x$

Let us take natural log of both sides of our equation.

$ln(0.5)=ln(0.87^x)$

Using natural log property $ln(a^b)=b*ln(a)$ we will get,

$ln(0.5)=x*ln(0.87)$

$\frac{ln(0.5)}{ln(0.87)}=\frac{x*ln(0.87)}{ln(0.87)}$

$\frac{ln(0.5)}{ln(0.87)}=x$

$\frac{-0.6931471805599}{-0.139262067}=x$

$x=4.977286\approx 4.98$

Therefore, after approximately 4.98 years the stereo will be worth half the original value.

5 0

3 years ago

Pleaseeeeeeeeeeeeeeeeee

Sunny_sXe [5.5K]

The figure is not fully visible

3 0

3 years ago

which graph represents the solution set of the system of inequalities? (is my selected answer correct, if not please help!!)

algol [13]

Answer:

the graph on the right-top

Step-by-step explanation:

Transferring an "x" to the right side in $x+y\ge-3$ , we get $y\ge -x-3$

The system of inequalities is

$\left \{ {{y$

We have y=2x+2 - ascending function with a=2, b=2

b=2 shows that ascending function intersects Y-axis is in y=2 - that situation is only on the right-top and left-down. So, we refuse left-top and right-down.

y=-x-3 - descending function with a=-1, b=-3

y<2x+2 is an area below the ascending function and we see that on the left-

$y\ge-x-3$ is an area above the descending function

On the left-down we have an area above both functions, so we refuse this picture

Right-top is correct

7 0

3 years ago

Identify the decimals labeled with the letters A, B, and C on the scale below. Letter A represents the decimal Letter B represen

Yuliya22 [10]

$10$ divisions between $389$ and $390$ so each division is $\frac{390-389}{10}=0.1$

A is 8 division from $389$, so, A is $389+8\times 0.1=389.8$

similarly, C is one division behind $389$ so it is $389-1\times 0.1=388.9$

and B is $390.3$

8 0

3 years ago

PLEASE HELP mE: Expand the expression 0.9(7x - 1) + 9?

Alex_Xolod [135]

Answer:

6.3x+8.1 simplify

Step-by-step explanation:

8 0

3 years ago