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castortr0y [4]
3 years ago
10

I got this wrong on a test and I can't understand it. Can someone explain? I figured out it was compound interest, but I dont kn

ow how to calculate the interest rate from this. 20 points

Mathematics
1 answer:
Oliga [24]3 years ago
3 0
A = P(1+i)ⁿ ==> compound interest where P= initial Capital, I =interest in% and n the number of years. A is the total amount collected over n years

A= 500(1.0325)¹² ==> 500(1+0.0325)¹² ==> 500(1+3.25%)¹²
The mistake is:
Either she has a yearly interest of 3.25% & she wrote 12 instead of 3 (years)
OR
She got a quarterly interest of 3.25% and in this case she should have divided 3.25& by 12 (4 quarter a year ==> 12 quarter for 3 years) by keeping as exponent the number 12 (right)

1)Now the Amount of A (as she wrote it) =500(1.0325)¹² = 734
2) If she wrote 12 instead of 3, and after correction A=500(1.0325)³ =550
3) But if she had taken the quarterly interest for a period of 3 years (12 Qrtr)
 then A =500[1+(3.25%)/4]¹² = 551


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Explanation:
Let m be the number of boxes Mark sells and a be the number of boxes Ann sells.

Since Mark sells 10 less than n, m = n-10. Since Ann sells 2 less than n, a = n-2.

Together, they sold n-10+n-2=2n-12 boxes.

We know that they sold less than n boxes, so our inequality would be
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3 0
3 years ago
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A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 1:2 If A is at (6,3) and B is at (-1,2), what are
Maksim231197 [3]

Answer:

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Step-by-step explanation:

Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.

Now let's assume the coordinates of C is (x,y).

To get it's coordinates, we use the section formula:

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Therefore we have

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This gives:

(-1,2) = (\frac{x + 6}{2} , \frac{y + 3}{2})

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From there x = -8 and y = 1

Therefore the coordinates of C is (-8, 1).

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3 years ago
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Answer:

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