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8_murik_8 [283]

2 years ago

14

Tim Worker expects Social Security benefits of $937 per month. His wife, Mary, is eligible for a wife's benefit of 50 percent of

Tim's benefit. How much will Mary receive?

1 answer:

mihalych1998 [28]2 years ago

8 0

Answer:

468.5

Step-by-step explanation:

so that would be $468 and 50 cents

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Fifteen us added to product of a number and 6. the result is 9

solong [7]

Answer:

Let y be our number:

6y+15=9

Step-by-step explanation:

Since it is the product, you have to multiply:

6y

Next, you will have to add 15, +15

6y+15

This expression will equal to 9

6y+15=9

Hope This Was Helpful!

8 0

3 years ago

What of these types of income is taxed?

geniusboy [140]

In most cases, income tax brackets are progressive, meaning that the greater the income, the higher the rate of taxation. Federal rates for the 2013 tax year range from 10 to 39.6 percent. State and city rates are generally much lower.

7 0

3 years ago

Please help me for the love of God if i fail I have to repeat the class

Elena-2011 [213]

$\theta$ is in quadrant I, so $\cos\theta>0$ .

$x$ is in quadrant II, so $\sin x>0$ .

Recall that for any angle $\alpha$ ,

$\sin^2\alpha+\cos^2\alpha=1$

Then with the conditions determined above, we get

$\cos\theta=\sqrt{1-\left(\dfrac45\right)^2}=\dfrac35$

and

$\sin x=\sqrt{1-\left(-\dfrac5{13}\right)^2}=\dfrac{12}{13}$

Now recall the compound angle formulas:

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

$\cos(\alpha\pm\beta)=\cos\alpha\cos\beta\mp\sin\alpha\sin\beta$

$\sin2\alpha=2\sin\alpha\cos\alpha$

$\cos2\alpha=\cos^2\alpha-\sin^2\alpha$

as well as the definition of tangent:

$\tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}$

Then

1. $\sin(\theta+x)=\sin\theta\cos x+\cos\theta\sin x=\dfrac{16}{65}$

2. $\cos(\theta-x)=\cos\theta\cos x+\sin\theta\sin x=\dfrac{33}{65}$

3. $\tan(\theta+x)=\dfrac{\sin(\theta+x)}{\cos(\theta+x)}=-\dfrac{16}{63}$

4. $\sin2\theta=2\sin\theta\cos\theta=\dfrac{24}{25}$

5. $\cos2x=\cos^2x-\sin^2x=-\dfrac{119}{169}$

6. $\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=-\dfrac{24}7$

7. A bit more work required here. Recall the half-angle identities:

$\cos^2\dfrac\alpha2=\dfrac{1+\cos\alpha}2$

$\sin^2\dfrac\alpha2=\dfrac{1-\cos\alpha}2$

$\implies\tan^2\dfrac\alpha2=\dfrac{1-\cos\alpha}{1+\cos\alpha}$

Because $x$ is in quadrant II, we know that $\dfrac x2$ is in quadrant I. Specifically, we know $\dfrac\pi2$ , so $\dfrac\pi4$ . In this quadrant, we have $\tan\dfrac x2>0$ , so

$\tan\dfrac x2=\sqrt{\dfrac{1-\cos x}{1+\cos x}}=\dfrac32$

8. $\sin3\theta=\sin(\theta+2\theta)=\dfrac{44}{125}$

6 0

3 years ago

Your family went out to eat and the total bill was 68.50. If you leave a 15% tip, what is the total cost of the bill

KatRina [158]

Answer:

$ 78.78

Step-by-step explanation:

Calculate 15% of 68.50. then add it to the total bill.

6 0

3 years ago

Read 2 more answers

Nana76 [90]

Answer:

no I do not agree, Because it doesn't make since

6 0

2 years ago