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icang [17]
3 years ago
8

PLEASE HELP ASAP!!!

Mathematics
1 answer:
barxatty [35]3 years ago
7 0

Answers:

  • <u>24000 dollars</u> invested at 4%
  • <u>18000 dollars</u> was invested at 7%

======================================================

Work Shown:

x = amount invested at 4%

If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%

She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account

This means we have

0.04x+0.07(42000-x)

0.04x+0.07*42000-0.07x

0.04x+2940-0.07x

-0.03x+2940

This represents the total amount of money earned after 1 year.

We're told the amount earned in interest is $2220, so we can say,

-0.03x+2940 = 2220

-0.03x = 2220-2940

-0.03x = -720

x = -720/(-0.03)

x = 24000 dollars is the amount invested at 4%

42000-x = 42000-24000 = 18000 dollars was invested at 7%

----------------------

As a check, we can see that

18000+24000 = 42000

and also

0.04x = 0.04*24000 = 960 earned from the first account

0.07*18000 = 1260 earned from the second account

1260+960 = 2220 is the total interest earned from both accounts combined

This confirms our answers.

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Answer:

The other midpoint is located at coordinates (-9,-2) (Second option)

Step-by-step explanation:

<u>Midpoints</u>

If P(a,b) and Q(c,d) are points in \mathbb{R} ^2, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by

\displaystyle x_m=\frac{a+c}{2}

\displaystyle y_m=\frac{b+d}{2}

We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.

The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:

x (other endpoint)= - 4 - 5 = - 9

So the other midpoint is located at (-9,-2) (Second option)

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On a<br> paper, graph y &lt; -2x Then determine which answer matches<br> the graph you drew.
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theres the graph

Step-by-step explanation:

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The triangles indicated are similar. Solve for x.
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Hope this helps.................

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What is the equation of a circle with center -4, 7 and radius 6
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Answer:

( x + 4 )^2 + ( y - 7 )^2 = 36

Step-by-step explanation:

Use the circle equation, ( x - h )^2 + ( y - k )^2 = r^2

Plug in the center and radius:

( x + 4 )^2 + ( y - 7 )^2 = 6^2

Simplify:

( x + 4 )^2 + ( y - 7 )^2 = 36

So, the equation is ( x + 4 )^2 + ( y - 7 )^2 = 36

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George has 50,000in wage income ,20,000 in gambling winning .10,000 in alimony income and 5,000 in divided income the amount of
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The amount of George's income that is subject to withholding is <u>$75,000</u>, which excludes the alimony income.

<h3>What is alimony income?</h3>

Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.

<h3>What are the incomes subject to withholding?</h3>

The incomes subject to withholding include the following:

  • Regular
  • Commissions
  • Vacation pay
  • Reimbursements
  • Other expense allowances
  • Pensions
  • Bonuses
  • Dividends
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<h3>Data and Calculations:</h3>

Wages income = $50,000

Gambling winning = $20,000

Alimony income = $10,000

Dividend income = $5,000

Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)

Thus, George's income that is subject to withholding is <u>$75,000</u>, excluding the alimony income.

Learn more about withholding tax at brainly.com/question/26781826

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