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3 years ago

The cost of a new television is $948. If the value of the television decreases by 4.5% every year, which function

Mathematics

2 answers:

vlabodo [156]3 years ago

8 0

Answer:

t(x) = 948(0.955)^x

Step-by-step explanation:

I had this for a warm up

mylen [45]3 years ago

7 0

Answer: (x) 948(0.955)

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John has a job parking cars. He earns a fixed weekly salary of $300 plus a fee of $5 for each car he parks. At what point does J

horrorfan [7]

Let us assume the number of cars parked after which John will start earning more than his fixed weekly salary = x
The fixed weekly salary of John = $300
The fee that John gets for parking each car = $5
Then we can get the equation as
5x = 300
x = 300/5
= 60
So from the above deduction we can see that John will earn the equal amount of his weekly pay after he parks 60 cars. Then it becomes obvious that parking car number 61, John will start earning more than what he gets as his fixed weekly salary. I hope you have understood the described method.

4 0

3 years ago

What’s greater -5 or -9

densk [106]

Answer:

-5 is greater

Step-by-step explanation:

-9 is a lesser number than -5 on the number line, making -5 a greater number.

4 0

3 years ago

Read 2 more answers

43. Find the image of the point (1,2) when reflected<br>by the line x=-1

dolphi86 [110]

Answer:

-3, 2

Step-by-step explanation:

4 0

3 years ago

Write the given linear system in matrix form. Assume X = x y z . dx dt = −8x + 7y − 9z dy dt = 5x − y dz dt = 10x + 7y + 8z

Akimi4 [234]

Answer:

The matrix form of given linear system is

$\begin{bmatrix}x'\\ y'\\ z'\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

Step-by-step explanation:

Let as assume that

$X=\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

Given differential equations are

$\frac{dx}{dt}=-8x+7y-9z$

$\frac{dy}{dt}=5x-y$

$\frac{dz}{dt}=10x+7y+8z$

We need to find the matrix form of given linear system.

Write the elements of left side in a column matrix.

Write all the coefficients in one matrix first which is called a coefficient matrix. Multiply coefficient matrix with the variables matrix and equate left and right side.

$\begin{bmatrix}\frac{dx}{dt}\\ \frac{dy}{dt}\\ \frac{dz}{dt}\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

It can be written as

$\begin{bmatrix}x'\\ y'\\ z'\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

6 0

3 years ago

Simplify the expression.<br> 5c+8d-8(5c-4d)

cluponka [151]

Answer:

-35c+40d

Step-by-step explanation:

distribute -8 through the numbers in the parenthesis by distribute I mean multiply the numbers in the parenthesis by -8

combine the like terms (c)

combine like terms(d)

then you have your answer

3 0

3 years ago