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topjm [15]
3 years ago
14

At the beginning of the year, Mr. and Mrs. Smith's portfolio is made up of $200 cash, stocks, with value of $236,000, and bonds

worth $163,000. Mr. Smith received $5,000 in dividends and bond interest of $4,150. At year end, Mr. Smith has $200 cash, stocks $250,000 and bonds worth $159,000. What was Mr. Smith's total return for the year?
Mathematics
1 answer:
mart [117]3 years ago
7 0

Answer:

4.797% of total return

Step-by-step explanation:

In this case, first, let's gather the data:

Beggining of the year:

200 + 236,000 + 163,000 = 399,200$

End of the year:

200 + 250,000 + 159,000 = 409,200$

This means that between the beggining and the end of the year, Mr Smith only had a gain of 10,000$.

To get the final return, we need to add this gain to the dividens and interest which is:

10,000 + 5,000 + 4,150 = 19,150$

So, the total return would be the percentage between this gaining and the innitial amount:

% = 19,150 / 399,200 * 100

% = 4.797%

And this is the total return.

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Write the polynomial in standard form 8-5x+x^3-2x^4
yan [13]

Answer:

-2x^4+x^3-5x+8

Step-by-step explanation:

8-5x+x^3-2x^4

Write the polynomial from highest powers of x to lowest

-2x^4+x^3-5x+8

8 0
3 years ago
Evaluate the function for the given value: f(x)=2x (to the power of 2) -5x-17, find f(-3)
lions [1.4K]

Answer:

f(-3) = 16

Step-by-step explanation:

You substitute -3 to x.

f(-3) = 2(-3)² - 5(-3) - 17

f(-3) = 16.

As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).

7 0
3 years ago
Read 2 more answers
Solve the equation <br> 5(x+4)+52= -4x
Maru [420]

Answer:

x = -8

Step-by-step explanation:

Given: 5(x+4)+52=-4x

Distributive Property: 5x+20+52=-4x

Combine like terms: 5x+72=-4x

Subtract 5x on both sides: 72=-9x

Divide both sides by -9: -8=x

Flip the equation around: x=-8

Therefore, x=-8

8 0
2 years ago
American cars maker produce 5650000 cars each year in Europe that Americans make 6 million 550 cars the mistake did Ben make how
Vlad [161]

Answer:

Ben has mixed up the digit for millions and hundred thousands: he wrote 5 in the place for millions and 6 in the place for hundred thousands, but it should be the other way. I think that he should exchange those two digits in the faulty report.

3 0
3 years ago
A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr
alex41 [277]
Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7
 
7 0
3 years ago
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