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horrorfan [7]
4 years ago
14

Which is the better investment: 5% compounded monthly or 5.25% compounded annually

Mathematics
1 answer:
elena55 [62]4 years ago
7 0
5.25% compunded anually would be the correct answer because in the end you are saving more money
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A movie theater is holding a contest for people who are in line before 10 p.m. The people who are within three places of the 99
pav-90 [236]

Answer:

|x-99|<3

Step-by-step explanation:

|x-99|<3

4 0
4 years ago
Find the volume of a right prism with height h=10 cm, The base is equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm
cestrela7 [59]
<h2>Answer:</h2>

\boxed{V=40\sqrt{3}cm^3}

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. In a right prism every edge that connects the base and the opposite face makes right angles with both faces. Moreover, a triangular prism is a solid whose base is a triangle. In general, a prism's volume is always equal to the area of its base, which has the same area of the top face, times its height. In mathematical language:

V=A_{b}\times H \\ \\ Where: \\ \\ A_{b}:Base \ Area \\ \\ H:Height

Since the base is an equilateral triangle with side 4 cm, then we'll use Heron's formula to find the area. This formula uses triangle's side lengths and the semiperimeter. A polygon's semiperimeter s is half its perimeter. So the area of a triangle can be found by A=\sqrt{s(s-a)(s-b)(s-c)} being a,\:b\:and\:c the corresponding sides of the triangle. So:

s=\frac{4+4+4}{2}=6cm \\ \\ a=b=c=4cm \\ \\ A_{b}=\sqrt{6(6-4)^3}=4\sqrt{3}cm^2

Finally:

V=4\sqrt{3}\times 10 \\ \\ \boxed{V=40\sqrt{3}cm^3}

3 0
3 years ago
Day care centers expose children to a wider variety of germs than the children would be exposed to if they stayed at home more o
Ostrovityanka [42]

Answer:

a) The study is an observational study

b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is approximately 0.802

The proportion of children with significant social activity in children without acute lymphoblastic leukemia is approximately 0.8565

c) The odds ratio is approximately 0.6780

d) The 95% CI is approximately 0.523 < OR < 0.833

e) i) Yes

ii) Children with more social activity have a higher occurrence of acute lymphoblastic leukemia

Step-by-step explanation:

a) An experimental study is a study in which the researcher adds inputs to the study and then monitors the outcomes

An observational study is one in which the researcher observes risk factors and does not intervene in the process

Therefore, the study is an observational study

b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is \hat p_1 = 1020/1272 = 85/106 = 0.8\overline {0188679245283} ≈ 0.802

The proportion of children with significant social activity in children without acute lymphoblastic leukemia is \hat p_2 = 5343/6238 ≈ 0.8565

c) We have the following two way table;

\begin{array}{ccc}Lymphoblastic \ Leukemia &With \ Social \ Activity & Without \ Social \ Activity\\With&1020 \ (a)&252 \ (b)\\Without&5343 \ (c)&895 \ (d) \end{array}

The \ odds \ ratio = \dfrac{1,020 \times 895}{5,343 \times 252} \approx 0.6780

The odds ratio ≈ 0.6780

d) The 95% confidence interval for the odds ratio is given as follows;

95 \% \ CI = OR \ \pm \ 1.96 \times \sqrt{\dfrac{1}{a} +\dfrac{1}{b}+\dfrac{1}{c}+\dfrac{1}{d}}

Where;

a = 1020, b = 252, c = 5343, d = 895

Therefore;

95 \% \ CI \approx  0.6780 \ \pm \ 1.96 \times \sqrt{\dfrac{1}{1,020} +\dfrac{1}{252}+\dfrac{1}{5,343}+\dfrac{1}{895}} \approx 0.678 \pm0.155

The 95% CI ≈ 0.523 < OR < 0.833

e) i) Given that the observed Odds Ratio is within the Confidence Interval, therefore, there is an indication that the amount of social activity is associated with acute lymphoblastic leukemia

ii) Based on the proportion of the study findings, children with more social activity have a higher occurrence of acute lymphoblastic leukemia

6 0
3 years ago
Will the point of the arrow in Figure Bhave the same angle measure as the point of the arrow in Figure A? Explain your answer.
VashaNatasha [74]

Answer:

Step-by-step explanation: first you have find a teacher in the building or the math teacher and tell them that you are using brainly to find the answers then they will give you a 0 so you dont have to fail

6 0
3 years ago
You use 4 boxes of rice to serve 13 people. If you want to serve 39 people, what should you do?
olasank [31]
A: 3 times as many
Since 13 multiplied by 3 is 39, multiply 4 and 3 to get 12
3 0
3 years ago
Read 2 more answers
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