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3 years ago

ryan has a $3000 bond with a 6% coupon. how much interest will ryan recieve for this bond every 6 months?

Mathematics

2 answers:

lidiya [134]3 years ago

8 0

Answer:

<h3>$90 interest will Ryan receive for this bond every 6 months.</h3>

Step-by-step explanation:

We are given that Ryan has total bond of amount $3000.

Rate of interest = 6% per annul.

Time = 6 month = $\frac{1}{2}$ of a year.

Formula of simple interest = $PRT$ , where P is the bond amount, R is the rate of interest per year and T is the time in years.

Plugging values P= 3000, R= 6% = 0.06 and T= $\frac{1}{2}$ in above formula, we get

I = 30000×0.06 × $\frac{1}{2}$

I= 90.

<h3>Therefore, $90 interest will Ryan receive for this bond every 6 months.</h3>

swat323 years ago

3 0

Answer:

$90.00

Step-by-step explanation:

a.p.e.x

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10. In a survey of 212 people at the local track and field championship, 72% favored the home team

igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

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 $1 - \frac{\alpha}{2}$ .

The margin of error of the survey is:

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

The confidence interval can be written as:

$\pi \pm zM$

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that $n = 212, \pi = 0.72$

a. Find the margin of error for the survey.

$M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308$

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

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

Lower bound:

$\pi - zM = 0.72 - 1.96*0.0308 = 0.6596$

Upper bound:

$\pi + zM = 0.72 + 1.96*0.0308 = 0.7804$

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0

3 years ago

What does this equal?? Order of operations with integers

wolverine [178]

Follow the order of operations. PEMDAS. Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. Let's start with parenthesis. First we so everything inside the parenthesis. So the first thing we do, is exponents, 2 x 2 = 4. Now the top equation is 3 x 4 - 23. Next thing in the order of operations, is Multiplication. So now we do 3 x 4. Which equals 12. Now the top equation is 10 - 12 - 23. Now we do Subtraction in order. First 10 - 12 = negative 2 (-2) Then we do -2 - 23 which equals negative 25 (-25). Now let's work on the bottom equation. Once again follow the order of operations. We do the exponents in the parenthesis first. 10 x 10 = 100. Then do the rest in the parenthesis, 1 + 100 = 101. Now the exponents in the outside of the parenthesis. - 2 x - 2 = 4. And 5 x 5 = 25. Then we do Multiplication, 4 x 25, which equals 100. Then we do 101 - 100 = 1. Then we reduce the fraction. -25/1 = -25. Therefore the answer to your problem is -25. I apologize for taking so long to write this. Hope this helps though!

-Twixx

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3 years ago

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katovenus [111]

Answer:

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Step-by-step explanation:

4.5:3 1/2

45/10 ÷ 7/2

45/10 x 2/7

90/70=9/7

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never [62]

Answer:

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Step-by-step explanation:

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V = 14 *14*14 = 2,744 cubic feet

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svlad2 [7]

Answer:

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