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Pepsi [2]
2 years ago
6

You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long must you invest that money to ea

rn $500 in interest?
Mathematics
2 answers:
charle [14.2K]2 years ago
8 0

Answer:5 years

Step-by-step explanation:

Pavlova-9 [17]2 years ago
7 0
It will take 5 years of investment

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Alex

Answer:

Last option.

Step-by-step explanation:

The consecutive exterior angle theorem states that the exterior angles are supplementary if two lines are cut by a transversal.

m∠1 + m∠7 = 180

m∠2 + m∠8 = 180

3 0
3 years ago
Need help with these 4 questions :’(
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6 0
3 years ago
A shipping company places circular labels on all of their products. Each label measures a 4 inch radius. If the company order 10
svetoff [14.1K]

Answer:502.4 Square inches are need.

Step-by-step explanation:

6 0
2 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
2 years ago
Given: ΔАВС, m∠ACB = 90°,m∠ACD = 30°,AD = 8 cm. Find: CD, Perimeter ΔABC <br><br> Please solve!
sukhopar [10]
If m ACD = 30 => m DCB = 60.
In triangle ACD:
sin 30^{o}=sin  \frac{AD}{AC} =\ \textgreater \   \frac{1}{2}  =  \frac{8}{AC} =\ \textgreater \  AC=16&#10;
CD= 8 \sqrt{3}
BC= 16\sqrt{3}
AC^{2}+CB^{2}=AB^{2} => AB=\sqrt{1024}=32.
=> P=16+32+16 \sqrt{3}=48 +16 \sqrt{3}.

8 0
3 years ago
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