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4 years ago

He receives $6.00 commission for

2 answers:

6 0

$30 because as a ratio he gets $6 per 9 commissions
6:9
They then want a ratio of 45 commissions so
?:45
45 ÷ 9 = 5
So u multiply 9 by 5 to get 45
Therefore u do 6 × 5 to get $30

sasho [114]4 years ago

4 0

He received 30 dollars in commission

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Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

6 0

3 years ago

Your grandfather placed $5,000 in a trust fund for you. In 12 years, the fund will be

PolarNik [594]

Answer:

fv/pv=(1+r)^n

10,000/5000=(1+r%)^12

2=(1+r%)^12

r= 5.95

4 0

3 years ago

Read 2 more answers

The floor of the school art closet is be tiled. The closet shaped like a parallelogram. The parallelogram has a base of 16.5 fee

son4ous [18]

The area of the parallelogram is given by:
A = b * h
Where,
b: base
h: height
Substituting values we have:
A = (16.5) * (6)
A = 99 feet ^ 2
The number of packages will be:
N = 99/5
N = 19.8
Rounding:
N = 20
Answer:
It will be needed 20 packages of tile to tile the music room floor

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3 years ago

A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average. Any overfill

gavmur [86]

Answer:

b. the average is not equal to 12 ounces.

Step-by-step explanation:

a and is incorrect because being equal to 12 ounces is what we want.

c - we want to look for greater than 12 as well as less than.

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3 years ago

Can someone help out (; plz

zubka84 [21]

Answer:

Step-by-step explanation:

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3 years ago