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3 years ago

Teyvin made an initial investment of $17,550 in a mutual fund. He invests an additional $525 each month in the mutual fund.

Mathematics

1 answer:

Shkiper50 [21]3 years ago

3 0

Answer:

$21,225 , $30,675 , $19,650

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Given that -15 is a root of x² +mx +45 = 0 find the constant m

o-na [289]

Answer:

m = 18

Step-by-step explanation:

Given :

=> -15 is a root of the polynomial

=> It is a zero to the solution.

Process :

Substitute -15 in place of x.

=> (-15)² + (-15)m + 45 = 0

=> 225 + 45 - 15m = 0

=> 15m = 270

=> m = 270/15

=> m = 18

5 0

2 years ago

A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne

Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that $n = 533, \pi = \frac{351}{533} = 0.6585$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923$

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

6 0

3 years ago

Cody bagged the plastic bottles after a recycling drive. He placed 15 bottles in the first bag, 90 bottles in the second bag, 36

stepan [7]

Answer: repeating sequence

Step-by-step explanation:

3 0

3 years ago

Please help me in this it's similar figures assessment

OLEGan [10]

Answer:

Step-by-step explanation:

the triangles are similar so the sides are in proportion

(x/10)=(12/6)

6x=10*12

x=10*12/6=20

3 0

3 years ago

Which of the following statements are true?

bezimeni [28]

Answer:

A, B, and C are all true.

Step-by-step explanation:

A. 6 is neither a perfect square nor a perfect cube. True

B. 16 is a perfect square. True $4^{2}$

C. 27 is a perfect cube. True $3^{3}$

OD. 1,331 is both a perfect square and a perfect cube. False

E. 9 is a perfect cube. False

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3 years ago