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baherus [9]
3 years ago
11

Taxes on 100 dlls??​

Mathematics
1 answer:
dezoksy [38]3 years ago
8 0
The sales tax is 6.25% from $100
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Ashton plays three games of checkers with his grandmother. Identify the
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Answer:

C

Step-by-step explanation:

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Find the general solution of the following ODE: y' + 1/t y = 3 cos(2t), t > 0.
Margarita [4]

Answer:

y = 3sin2t/2 - 3cos2t/4t + C/t

Step-by-step explanation:

The differential equation y' + 1/t y = 3 cos(2t) is a first order differential equation in the form y'+p(t)y = q(t) with integrating factor I = e^∫p(t)dt

Comparing the standard form with the given differential equation.

p(t) = 1/t and q(t) = 3cos(2t)

I = e^∫1/tdt

I = e^ln(t)

I = t

The general solution for first a first order DE is expressed as;

y×I = ∫q(t)Idt + C where I is the integrating factor and C is the constant of integration.

yt = ∫t(3cos2t)dt

yt = 3∫t(cos2t)dt ...... 1

Integrating ∫t(cos2t)dt using integration by part.

Let u = t, dv = cos2tdt

du/dt = 1; du = dt

v = ∫(cos2t)dt

v = sin2t/2

∫t(cos2t)dt = t(sin2t/2) + ∫(sin2t)/2dt

= tsin2t/2 - cos2t/4 ..... 2

Substituting equation 2 into 1

yt = 3(tsin2t/2 - cos2t/4) + C

Divide through by t

y = 3sin2t/2 - 3cos2t/4t + C/t

Hence the general solution to the ODE is y = 3sin2t/2 - 3cos2t/4t + C/t

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3 years ago
PLEASE MATH HELP ( EASY )
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Answer:

Step-by-step explanation:

28° into radians

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In a class of 27 students, 15 are female and 7 have an A in the class. There are 9
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Male:12/27 male with an A:3/12

Answer=15/27 ×4/15

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If one bag of topsoil covers 10 square feet, how many bags are needed to cover this flowr bed?
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3 bags are needed to cover the flower bed.
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