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Pachacha [2.7K]
2 years ago
5

Over which interval are the exponential and linear function approximately the same? from 0.25 to 0.5 from 0.5 to 0.75 from 0.75

to 1.0 from 1.25 to 1.5
Mathematics
2 answers:
rewona [7]2 years ago
8 0

Answer:

the answer is C 0.75 to 1.0

ryzh [129]2 years ago
3 0

Answer:

Answer is 0.25 to 0.5

Step-by-step explanation:

Let the linear function be y=x

and exponential function be y=e^x

x          0.25   0.5    0.75    1.0     1.25    1.5

y          0.25   0.5    0.75    1.0     1.25    1.5

Diff             0.25  0.25  0.25   0.25  0.25

e^x      1.29   1.65    2.12     2.72  3.49    4.48

Diff            0.36  0.47     0.60   0.77    0.99

Hence 0.36 to be nearer to 0.25, than other intervals

So answer is 0.25 to 0.5

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You plan to accumulate 100,000 at the end of 42 years by making the follow-
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Answer:

  Y = 479.17

Step-by-step explanation:

At the end of year 14, the balance from the deposits of X can be found using the annuity due formula:

  A = P(1+r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the periodic payment, n is the number of payments and compoundings per year, t is the number of years, and r is the annual interest rate.

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This accumulated amount continues to earn interest for the next 28 years, so will further be multiplied by 1.07^28. Then the final balance due to deposits of X will be ...

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The same annuity due formula can be used for the deposits of Y for the last 10 years of the interval:

  Ay = Y(1.07)(1.07^10 -1)/.07 = 14.783599Y

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Now we can write the two equations in the two unknowns:

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  X = Y +100

So the first equation becomes ...

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7 0
2 years ago
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Answer:

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Test positive       475                     475                  950

Test negative      25                      9025               9050

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Step-by-step explanation:

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Test positive       475                     475                  950

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Test is correct for 95% of times means that 95% times drug users test results is positive and non drug users test results is negative.

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