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cestrela7 [59]
3 years ago
13

Giving away extra points​

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0
Hi ty for the points, answer is the light blue one
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The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which i
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Answer:

Correct choice is B

Step-by-step explanation:

The equation of the exponential regression model is y=a\cdot b^x.

1. When x=0, y=a\cdot b^0=a=5,000;

2. When x=2, then

y=5,000\cdot b^2=5,510\Rightarrow b^2=\dfrac{5,510}{5,000}=\dfrac{551}{500}=1.102,\ b=\sqrt{1.102}\approx 1.05.

3. The equation of the function is y=5,000\cdot (1.05)^x. Note that

  • y(5)=5,000\cdot (1.05)^5\approx 6,381\approx 6,390;
  • y(8)=5,000\cdot (1.05)^8\approx 7,387\approx 7,390;
  • y(10)=5,000\cdot (1.05)^{10}\approx 8,144\approx 8,150.

Therefore,

y(12)=5,000\cdot (1.05)^{12}\approx 8,979\approx 8,980.


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Megan needs a 95 to get an average of 90.

Step-by-step explanation:

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