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3 years ago

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Mathematics

1 answer:

arsen [322]3 years ago

3 0

Answer:

Step-by-step explanation:

3*-4

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Completely factor 9x-3xy

OleMash [197]

9x-3xy

Factor out 3x from both terms.

3x(3-y)

answer: 3x(3-y)

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3 years ago

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Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year. How

lidiya [134]

Option A

The simple interest earned over 6 years is $ 4050

Solution:

Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year

The formula for simple interest is given as:

$Simple\ Interest = \frac{p \times n \times r}{100}$

Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest

From given,

p = 15000

r = 4.5 %

n = 6 years

Substituting the values we get,

$Simple\ Interest = \frac{15000 \times 4.5 \times 6}{100}\\\\Simple\ Interest = 150 \times 4.5 \times 6\\\\Simple\ Interest = 4050$

Thus simple interest earned over 6 years is $ 4050

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3 years ago

Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

$\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1$

so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

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3 years ago

Which transformation is happening in the image below

s2008m [1.1K]

Answer:

B.) Reflection over y=-3

Step-by-step explanation:

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3 years ago

Solve the proportion z/5 = 2/1 z =

ira [324]

Answer:

Hi! The correct answer is z=10

Step-by-step explanation:

~Solve for z by simplifying both sides of the equation, then isolating the variable~

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3 years ago

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