A computer shop sold 400 computers last month. And 523 computers were sold this month. What is the percentage increase?

Answers

Answer 1
Answer: The increase was 45%
Answer 2
Answer:

Answer:

The percentage increase is %30.75

Step-by-step explanation:

Subtract 400 from 523 to get the difference so you know how much more wawas sold in units of computers. Since it was increased by 123 you need to find out out what percentage of 400 123 is. This equals 30.75.


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Solve this differential Equation by using power series
y''-x^2y=o

Answers

We're looking for a solution

y=\displaystyle\sum_(n=0)^\infty a_nx^n

which has second derivative

y''=\displaystyle\sum_(n=2)^\infty n(n-1)a_nx^(n-2)=\sum_(n=0)^\infty(n+2)(n+1)a_(n+2)x^n

Substituting these into the ODE gives

\displaystyle\sum_(n=0)^\infty(n+2)(n+1)a_(n+2)x^n-\sum_(n=0)^\infty a_nx^(n+2)=0

\displaystyle\sum_(n=0)^\infty(n+2)(n+1)a_(n+2)x^n-\sum_(n=2)^\infty a_(n-2)x^n=0

\displaystyle2a_2+6a_3x+\sum_(n=2)^\infty(n+2)(n+1)a_(n+2)x^n-\sum_(n=2)^\infty a_(n-2)x^n=0

\displaystyle2a_2+6a_3x+\sum_(n=2)^\infty\bigg((n+2)(n+1)a_(n+2)-a_(n-2)\bigg)x^n=0

Right away we see a_2=a_3=0, and the coefficients are given according to the recurrence

\begin{cases}a_0=y(0)\na_1=y'(0)\na_2=0\na_3=0\nn(n-1)a_n=a_(n-4)&\text{for }n\ge4\end{cases}

There's a dependency between terms in the sequence that are 4 indices apart, so we consider 4 different cases.

  • If n=4k, where k\ge0 is an integer, then

k=0\implies n=0\implies a_0=a_0

k=1\implies n=4\implies a_4=(a_0)/(4\cdot3)=\frac2{4!}a_0

k=2\implies n=8\implies a_8=(a_4)/(8\cdot7)=(6\cdot5\cdot2)/(8!)a_0

k=3\implies n=12\implies a_(12)=(a_8)/(12\cdot11)=(10\cdot9\cdot6\cdot5\cdot2)/(12!)a_0

and so on, with the general pattern

a_(4k)=(a_0)/((4k)!)\displaystyle\prod_(i=1)^k(4i-2)(4i-3)

  • If n=4k+1, then

k=0\implies n=1\implies a_1=a_1

k=1\implies n=5\implies a_5=(a_1)/(5\cdot4)=(3\cdot2)/(5!)a_1

k=2\implies n=9\implies a_9=(a_5)/(9\cdot8)=(7\cdot6\cdot3\cdot2)/(9!)a_1

k=3\implies n=13\implies a_(13)=(a_9)/(13\cdot12)=(11\cdot10\cdot7\cdot6\cdot3\cdot2)/(13!)a_1

and so on, with

a_(4k+1)=(a_1)/((4k+1)!)\displaystyle\prod_(i=1)^k(4i-1)(4i-2)

  • If n=4k+2 or n=4k+3, then

a_2=0\implies a_6=a_(10)=\cdots=a_(4k+2)=0

a_3=0\implies a_7=a_(11)=\cdots=a_(4k+3)=0

Then the solution to this ODE is

\boxed{y(x)=\displaystyle\sum_(k=0)^\infty a_(4k)x^(4k)+\sum_(k=0)^\infty a_(4k+1)x^(4k+1)}

What is an example of "interval level"?

Answers

The interval level of measurement is a number scale that classifies both order and the value change between each number. For example, a ruler has intervals 1, 2, and 3 inches. The distance between 1 to 2 inches is the same as the distance between 3 to 4 inches.

Find the equation of the line shown

Answers

Answer:

y = x + 1

Step-by-step explanation:

find slope (y2-y1)/(x2-x1)

pick 2 points (0,1) and (1,2)

(2-1)/(1-0) = 1/1 = 1

Since (0,1) you know that y intercept is 1

the equation in slope intercept form: y = x + 1

Simplify x ^8/ x ^6 ​

Answers

Answer:

\displaystyle (x^8)/(x^6) = x^2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Exponential Property [Dividing]: \displaystyle (b^m)/(b^n) = b^(m - n)

Step-by-step explanation:

Step 1: Define

Identify

\displaystyle (x^8)/(x^6)

Step 2: Simplify

  1. Exponential Rule [Dividing]:                                                                             \displaystyle (x^8)/(x^6) = x^(8 - 6)
  2. [Exponents] Subtract:                                                                                       \displaystyle (x^8)/(x^6) = x^(2)

Which of the following measurements issmallest?
a. 12 inches
b. 216 inches
c. 412 inches
d. 12/4 inches

Answers

I think it might be A

A car rental agency advertised renting a car for $24.95 per day and $0.28 per mile. If Greg rents this car for 3 days, how many whole miles can he drive on a $250 budget?miles (Round down to the nearest whole mile.)

Answers

Answer/Step-by-step explanation:

Greg rent the car for 3 day so 3 x 24.95= $74.85 off the top without driving a single mile.

If he has a budget of $250, his remainder budget for mileage is $250 - $74.85 = $175.15.

How many miles he can travel at $0.28/mile with $175.15 budget?

Greg can drive $175.15/0.28 = 625.53 or 625 Miles