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elena-14-01-66 [18.8K]
3 years ago
15

The controller​ (money manager) for a small company puts some money in a bank account paying 5​% per year. He uses some addition

al​ money, amounting to 1/3
the amount placed in the​ bank, to buy bonds paying 66​% per year. With the balance of the​ funds, he buys a 8​% certificate of deposit. The first year the investments bring a return of ​$668. If the total of the investments is​ $10,000 how much is invested at each​ rate?
Mathematics
1 answer:
zhuklara [117]3 years ago
5 0
$x @ 4%, $x/3 @ 5% , $(10,000- 4x/3) @ 9% 

<span>.04x +.05x/3 + .09(10000 - 4x/3) = 729 </span>

<span>4x + 5x/3 + 9(10000 - 4x/3) = 72900 </span>

<span>19x/3 = 17100, x = 2700 </span>
<span>------------------ </span>
<span>$2700 @ 4% </span>
<span>$900 @ 5% </span>
<span>$6400 @9% </span>
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Solve |y + 2| &gt; 6 i dont understand this, please help
Lisa [10]

y < - 8  or y > 4

inequalities of the form | x | > a always have solutions of the form

x < - a or x > a

we have to solve

y + 2 < - 6 or y + 2 > 6

y + 2 < - 6 ( subtract 2 from both sides )

y < - 8

or

y + 2 > 6 ( subtract 2 from both sides )

y > 4

these can be combined using interval notation

y ∈ (- ∞, - 8 ) ∪ (4, ∞ )

As a check

substitute chosen values of x from each interval

y = - 10 :  | - 10 + 2 | = | - 8 | = 8 > 6 this is true

y = 12 : | 12 + 2 | = | 14 | = 14 > 6 which is also true



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3 years ago
Jake plays baseball. He had 8 hits in his last 24 times at bat. Suppose he continues to bat at this rate. How many hits should
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Answer:

D. 10

Step-by-step explanation:

If he hits 8 swings every 24 swings, that gives you a ratio of 1 hit:3 swings. Using this ratio, you can take the 8 hits he already has, and add them on the 6 extra swings he did to get 30 swings. Using the ratio, he hits 2 more, and 8+2=10, so D.

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Step-by-step explanation:

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A parabola has an x-intercept of -1, a y-intercept of -3, and a minimum of -4 at x = 1.
torisob [31]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

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a is a coefficient

(h,k) is the vertex

In this problem we have

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substitute

y=a(x-1)^{2}-4

we have

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substitute and solve for a

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0=4a-4

4a=4

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The equation is

y=(x-1)^{2}-4

<u><em>Verify the y-intercept</em></u>

For x=0

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The y-intercept is the point (0,-3) -----> is correct

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see the attached figure

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4 years ago
What is the Equation of the line? slope: undefined; (7,-9)
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Answer:

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Step-by-step explanation:

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