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fomenos
3 years ago
8

Katie got a loan for $10,000. The interest rate is 5%. How much interest will she pay in one year?

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer: 10,000 x 0.05 = $500

0.05 is equal to 5%

$500

Please brainlyist

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Which of the following is the solution set to the equation -4(x+1)^2 -3=- 51
ANTONII [103]

Answer:

x is equal to 2.5 and -4.5

Step-by-step explanation:

-4(x + 1)² - 3 = -51

-4(x² + 2x + 1) - 3 = -51

-4x² - 8x -3 - 3 = -51

-4x² - 8x - 6 = -51

-4x² - 8x = -45

-4(x^2 + 2x) = -45

-4(x^2 + 2x + 1) = -49

-4(x + 1)² = -49

(x + 1)² = 49/4

x + 1 = ± √(49/4)

x + 1 = ± 7/2

x = -1 ± 3.5

x = 2.5, -4.5

6 0
2 years ago
Find a closed form for the generating function for each of these sequences. (assume a general form for the terms of the sequence
noname [10]
There really is no single "obvious" choice here...

Possibly the sequence is periodic, with seven copies of -1 followed by six copies of 0, or perhaps seven -1s and seven 0s. Or maybe seven -1s, followed by six 0s, then five 1s, and so on, but after a certain point it would seem we have to have negative copies of a number, which is meaningless.

Or maybe it's not periodic, and every seventh value in the sequence is incremented by 1? Who knows?

I'll go ahead and assume the latter case, that the sequence is not periodic, since that's technically somewhat easier to manage. We can assign the following rule to the n-th term in the sequence:

\{a_n\}=\{-1,\ldots,-1,0,\ldots,0,1,\ldots,1,2,\ldots,2,3,\ldots\}
\implies a_n=\left\lfloor\dfrac n7\right\rfloor-1

for n\ge0.

So the generating function for this sequence might be

G(a_n;x)=\displaystyle\sum_{n\ge0}\left(\left\lfloor\frac n7\right\rfloor-1\right)x^n

As to what is meant by "closed form", I'm not sure. Would this answer be acceptable? Or do you need to find a possibly more tractable form for the coefficient not in terms of the floor function?
4 0
3 years ago
If α and β are the zeroes of the polynomial 2x2 + 3x – 7, then find a polynomial whose zeroes are and .
Drupady [299]

Answer:

\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}

Plug in <em>a</em> for 2, <em>b</em> for 3, and <em>c</em> for -7 and you should find your roots.

5 0
3 years ago
Given line x is parallel to line y and m∠2 = 23°. What is m∠7? 23° 67° 157°
Anna007 [38]

Answer:

The answer is 157

Step-by-step explanation:

4 0
3 years ago
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Whats 60 percent of 80
Degger [83]
48 all you had to do was out it in a calculator that's what I did
8 0
3 years ago
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