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Masteriza [31]
2 years ago
9

You have saved up $150,000 to invest for retirement. You would like to earn $200,000 in interest, and you think you will earn an

average of 6% interest in the stock market. How many years will you need to invest your money to meet your goal?
Mathematics
1 answer:
Yuri [45]2 years ago
7 0

Answer: What percentage to save for retirement?

Saving 15% of income per year (including any employer contributions) is an appropriate savings level for many people. Having one to one-and-a-half times your income saved for retirement by age 35 is an attainable target for someone who starts saving at age 25.

Step-by-step explanation: That's the answer I got it right! lol!

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Solve (x – 4)2 = 5.<br><br> Plz hurry I need to finish this semester
mixas84 [53]
Answer: 6.5

6.5 -4 = 2.5

2.5 x 2 = 5
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3 years ago
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If the points (2,3) and (5,y) lie on a line whose slope is -7/6, what does y equal
nlexa [21]

Answer:

Step-by-step explanation:

\\frac{y-3}{5-2}=\frac{-7}{6}  \\y-3=\frac{-7}{6} *3\\y=-\frac{7}{2}+3=-\frac{1}{2}

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Solve for the value of M
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Is that Deltamath?

Step-by-step explanation:

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Name the property that is illustrated.<br> 1 x 3/4 = 3/4
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Answer:

Associative Property of Addition

5 0
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15. If x=a Sin2t (I+Cos2t) and y=b Cos 2t (1-Cos2t) then find<br>dy/dx at =22/7*4<br>​
Sav [38]

By the chain rule,

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}

It looks like we're given

\begin{cases}x=a\sin(2t)(1+\cos(2t))\\y=b\cos(2t)(1-\cos(2t))\end{cases}

where <em>a</em> and <em>b</em> are presumably constant.

Recall that

\cos^2t=\dfrac{1+\cos(2t)}2

\sin^2t=\dfrac{1-\cos(2t)}2

so that

\begin{cases}x=2a\sin(2t)\cos^2t\\y=2b\cos(2t)\sin^2t\end{cases}

Then we have

\dfrac{\mathrm dx}{\mathrm dt}=4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t

\dfrac{\mathrm dy}{\mathrm dt}=-4b\sin(2t)\sin^2t+4b\cos(2t)\sin t\cos t

\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4b\cos(2t)\sin t\cos t-4b\sin(2t)\sin^2}{4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t}

\implies\boxed{\dfrac{\mathrm dy}{\mathrm dx}=\dfrac ba\tan t}

where the last reduction follows from dividing through everything by \cos(2t)\cos^2t and simplifying.

I'm not sure at which point you're supposed to evaluate the derivative (22/7*4, as in 88/7? or something else?), so I'll leave that to you.

8 0
3 years ago
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