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allsm [11]
3 years ago
5

Lincoln invested $24,000 in an account paying an interest rate of 3% compounded

Mathematics
1 answer:
ehidna [41]3 years ago
5 0

Answer:

$542

Step-by-step explanation:

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Rewrite in simplest terms: 9(-9f-2)-9(5f+10)
Deffense [45]

Answer:-126f-108

Step-by-step explanation:

9(-9f - 2)-9(5f +10)

-81f - 18 -9(5f + 10)

- 81f - 18 - 45f -90

- 126f - 18 - 90

-126f -108

which give you the answer -126f - 108

7 0
3 years ago
6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul
drek231 [11]

Answer:

A sample of n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2 is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that n = 1012, \pi = \frac{374}{1012} = 0.3696

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}

E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}

\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2

n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2

A sample of n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2 is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0
3 years ago
A system of equations is shown below. Find the solution by using substitution.
ASHA 777 [7]

Answer:

a) (-2, 0)

Step-by-step explanation:

x + 2 = 3x + 6

-3x - 3x

___________

−2x + 2 = 6

- 2 - 2

_________

4 = −2x

_ ___

−2 −2

-2 = x [Plug this back into both equations above to get the y-coordinate of 0]; 0 = y

I am joyous to assist you anytime.

5 0
3 years ago
Find the value of tanθ, if cosθ = 4/5 ; 0° ≤ θ< 90°
Montano1993 [528]

Answer:

  • 3/4

Step-by-step explanation:

<u>Given </u>

  • cosθ = 4/5
  • 0° ≤ θ < 90°

<u>In the first quadrant both sine and cosine are positive, so as tangent.</u>

  • tanθ = sinθ / cosθ =
  • \sqrt{1 - cos^2}θ / cosθ =
  • \sqrt{1 - (4/5)^2} / 4/5 =
  • \sqrt{9/25} / 4/5 =
  • 3/5*5/4 =
  • 3/4
4 0
2 years ago
A carnival game has 3 identical boxes. The boxes have the following amounts of money: one has $30.00, one has $6.00, and one has
garri49 [273]
$200 divided by 100 customers = 2$.

So, if he wants to make a profit of $200, he would have to make each customer pay $2.   :)

3 0
3 years ago
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