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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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MakcuM [25]

Step-by-step explanation:

In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions). In an indirect (or inverse) proportion, as one quantity increases, the other decreases.  In an inverse proportion, the product of the matching quantities stays the same.

8 0
2 years ago
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Please help asap!!!
Tatiana [17]

Answer:

w = 6

Step-by-step explanation:

ST = w + 6,

PR = w

From the diagram given, we can deduce that PR is the midsegment of ∆QST. Therefore, according to the midsegment theorem:

PR = ½ of ST

Plug in the values into the equation and solve for w.

w = \frac{1}{2}(w + 6)

w = \frac{w}{2} + 3 (distributive property of equality)

w - 3 = \frac{w}{2} (subtraction property of equality)

2(w - 3) = \frac{w}{2}*2 (multiplication property of equality)

2w - 6 = w

2w - 6 - 2w= w - 2w (subtraction property of equality)

- 6 = - w

Divide both sides by -1

6 = w

w = 6

5 0
3 years ago
How do i tell if y=x^3+x^2 is even or odd?
Effectus [21]

If a function is even, then f(-x) = x.

If a function is odd, then f(-x) = -x.

y = x³ + x² → f(x) = x³ + x² → -f(x) = -(x³ + x²) = -x³ - x²

f(-x) = (-x)³ + (-x)² = [(-1)(x)]³ + [(-1)(x)]² = (-1)³x³ + (-1)²x²

= -1x³ + 1x² =-x³ + x²

f(-x) ≠ f(x) and f(-x) ≠ -f(x)

y = x³ + x² is not odd and not even

Answer: neither

8 0
3 years ago
Find the Surface Area. I need the answer fast.
murzikaleks [220]

Answer:

1615

Step-by-step explanation:

Area of triangle is: A= B•H•1/2

Area of square is A= L•W

39•17•1/2= 331.5

331.5•4= 1326

17•17= 289

Add the square area to the area of the triangles

289+ 1326= 1615

hope this helps chu <3

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3 years ago
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15 is 60% of what number?
vlada-n [284]

Answer:

25

Step-by-step explanation:

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3 years ago
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