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Zolol [24]
2 years ago
9

Howard earned $48 in interest after saving for 3 years at a simple annual interest rate of 2%. How much did Howard originally de

posit?
Mathematics
2 answers:
vitfil [10]2 years ago
6 0
P=i/rt
P=48÷(0.02×3)
P=800
vovikov84 [41]2 years ago
3 0

Answer:

Howard originally deposited $800.

Step-by-step explanation:

Interest = $48

t = 3 years

r = 2% or 0.02

p = ?

Simple interest formula is :

I=p\times r\times t

Substituting the values in formula, we get;

48=p\times0.02\times3

=> 48=0.06p

p = $800

Hence, Howard originally deposited $800.

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Answer:

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Step-by-step explanation:

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2 years ago
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An insurance company states that it settles 85% of all life insurance claims within 30 days. A consumer group asks the state ins
BlackZzzverrR [31]

Using the z-distribution, it is found that since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is not enough evidence that the proportion is below 85%, that is:

H_0: p \geq 0.85

At the alternative hypothesis, it is tested if there is enough evidence that the proportion is below 85%, that is:

H_0: p < 0.85

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are:

p = 0.85, n = 250, \overline{p} = \frac{203}{250} = 0.812

Hence the test statistic is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.812 - 0.85}{\sqrt{\frac{0.85(0.15)}{250}}}

z = -1.68

<h3>What is the p-value and the conclusion</h3>

Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -1.68, the p-value is of 0.0465.

Since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

More can be learned about the z-distribution at brainly.com/question/16313918

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1 year ago
Sample Response: The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as
Ivan

The conditional probability illustrates that's there's a 2/8 that the event A occurs.

<h3>How to illustrate the probability?</h3>

It should be noted that probability simply means the likelihood of the occurence of an event.

In this case, it can be delivered that P(AID) and P(DIA) aren't equal.

Hence, P(D|A) has event A as its given event, resulting in 2/8 for a probability.

Learn more about probability on:

brainly.com/question/24756209

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7 0
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What is the perimeter of this triangle?
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The perimeter of the triangle would be B)18. the triangle's sides are equal and you can tell by the single lines on each side symbolizing that all the sides are equal. To find perimeter, you have to add all sides together, and in this case it is 6. When 6 is added three times, it equals 18, which is the answer.
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You can answer only this question, it's ok:
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1)100 or A
Angle = |30*H - (11/2)*M|, where H is the hours hand and M is the minutes hand

in this case: H = 4, M= 40
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If you plug in 0,0 you will get 0=4×0 or 0,0

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