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solniwko [45]
3 years ago
7

Veronica deposited $11 in a savings account that earns 1.9% simple interest. Which graph represents this scenario?

Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer:

Option C

Step-by-step explanation:

  • Initial balance= $11
  • Interest rate = 1.9% PA simple

<u>It will be graphed as function:</u>

  • y = 11 + 0.019x

Since is has a very small slope of 0.019 it will be shown almost parallel to x axis.

<u>Some points on the graph:</u>

  • Amount in 1 year= 11*(1+0.019) = $11.21
  • Amount in 2 years = 11*(1+2*0.019) = $11.42
  • Amount in 6 years = 11*(1+6*0.019) = $12.25
  • Amount in 10 years = 11*(1 + 10*0.019) = $13.09

Correct graph is option C

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Pls Help!!! worth 40 pts.
Sholpan [36]
Your function is f(x) = x^3 - 7x - 6. The fundamental theorem of algebra says that there will be three roots, since the degree of the polynomial is 3. The problem provides two real roots, x = -2 and x = 3, so there must be one more.

The theorem also says that possible roots of the polynomial would be in this case, the factors of the constant (-6) over the factors of the coefficient of the term with the highest degree (1).

Factors of -6 are: 1, 2, 3, 6, -1, -2, -3, -6
Factors of 1 are: 1, -1

Possible rational roots are: 1, 2, 3, 6, -1, -2, -3, -6

I then use synthetic division to see which possible rational root is a real root by dividing x^3 -7x -6 by the possible rational roots, and I get a root when the remainder is 0. Remember to put the placeholder of 0 for x^2 when dividing:
-1} 1 0 -7 -6
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-----------------
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When I divide by the possible rational root of -1, I get a remainder of 0, which means -1 is a root.

To check:
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