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rjkz [21]
3 years ago
12

Mrs. Trujillo bought 400 shares of a company's stock for $42.98/share. She pays a broker a commission of $16 to buy and sell sto

ck. After one year, she sold all her shares, when they were worth $56.13/share. What was her net gain?
Mathematics
1 answer:
natima [27]3 years ago
7 0

Answer:

$5228

Step-by-step explanation:

$42.98 x 400 = $17,192

$56.13 x 400 = $22,452

$22,452 - $17,192 = $5,260

$5,260 - $32 = $5,228

Essentially, in the problem you multiply both $42.98 and $56.13 by 400 and then subtract them from one-another. You then take $16 and multiply it by two, one for the base cost and then another $16 for a having one year pass. Then you subtract that from the byproduct of $22,452 - $17,192. As such, your answer should be $5,228.

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What two partial products would you add to find 513 x 46
Afina-wow [57]
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

    513
    x46
--------------------------
      18 (as 6*3 = 18)
      60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
    120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
    400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)


Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
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