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svlad2 [7]
3 years ago
5

A total of $30,000 is invested in two corporate bonds that pay 5.5% and 6.25% simple interest. the investor wants an annual inte

rest income of %1800 from the investments. what is the most that can be invested in the 5,5% bond?
Mathematics
1 answer:
lubasha [3.4K]3 years ago
6 0

Answer:

  $10,000

Step-by-step explanation:

Let x represent the amount invested in the 5.5% bond.

For an annual income of $1800, we want ...

  (5.5%)x + (6.25%)(30,000-x) = 1800

  (-0.75%)x + 1875 = 1800

  -0.0075x = -75 . . . . . . . . . subtract 1875

  x = 10,000 . . . . . . . . . . . . . divide by -0.0075

At most $10,000 should be invested at 5.5% to obtain at least $1800 in interest.

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For x > 3, values of the function f(x) = –(x – 3)^2(x + 2) are negative. On this same interval, which statement correctly des
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If PQ=8 and Q lies at -13 where could P be located?
choli [55]

Answer:

In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).

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There is really no need to use any quadratics or roots.

( Consider the same problem on the plain number line first.  )

How do you find the number between 2 and 5 which is twice as far from 2 as from 5?

You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get

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It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then

R=P+23(Q−P)

so in your case we get

R=(0,−1)+23(3,3)=(2,1)

Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)

Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get

s=a+b=2b+b=3b

⇔b=13s⇒a=23s

7 0
3 years ago
BC =<br> Round your answer to the nearest hundredth.<br> B<br> ?<br> 65<br> А<br> 7
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Answer:

14 = rounded 15

Step-by-step explanation:

What grade r u in?

And what time is where u r?

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