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2 years ago

6

Jared gets paid $6.75 per hour. Last week he worked the following hours: Monday- 9.5 hours, Tuesday- 5 hours, Wednesday- 8.75 ho

urs, Friday- 10 hours. What is Jared's gross pay?

1 answer:

Bad White [126]2 years ago

7 0

Answer:

$224.44

Step-by-step explanation:

Monday: $6.75x9.5=$64.13

Tuesday: $6.75x5=$33.75

Wednesday: $6.75x8.75=$59.06

Friday: $6.75x10= $67.50

Add them all up to get $224.44

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ella [17]

Answer:

0.43

Step-by-step explanation:

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3 0

3 years ago

Read 2 more answers

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

If

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

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

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

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3 years ago

I need help thanks !

oksano4ka [1.4K]

U say the answer is D 7$......

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3 years ago

What is the exact volume of a cone whose base radius is 9 feet and whose height is 13 feet? Show your work.

Radda [10]

Answer:

<u>The volume of the cone is 1,102.7 feet³ (cubic)</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Radius = 9 feet

Height = 13 feet

2. What is the exact volume of the cone?

We will use the following formula to calculate the volume of the cone:

Volume of the cone = π * Radius² * Height/3

Volume of the cone = 3.1416 * 9² * 13/3

Volume of the cone = 3.1416 * 81 * 13/3

Volume of the cone = 3.1416 *9² * 13/3

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2 years ago

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cricket20 [7]

$4=\left(\frac{1}{2}\right)^x\\
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3 years ago