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Natalka [10]
3 years ago
7

Robert is looking at purchasing bonds to diversify his portfolio and must decide which type of bonds to purchase. Which type of

bond can Robert
buy that is tax free?
Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer:

I just took the test and it is municipal bonds.

Step-by-step explanation:

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I need to know all the angles that are congruent
Alinara [238K]
Congruent to angle 1: 3, 5, 10, 8, and 6
congruent to angle 2: 4, 9, and 7

6 0
3 years ago
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What is the length of the right triangle below in inches?​
k0ka [10]

Answer:

6in

Step-by-step explanation:

Using the pythagerous thereom,

10^2 = 8^2 + b^2

b^2 = 10^2-8^2

b^2 = 100-64

b^2 = 36

b = 6

<em>Feel free to mark this as brainliest :D</em>

8 0
2 years ago
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A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa
Aleksandr [31]

Answer:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =60

\sum_{i=1}^n y_i =553

\sum_{i=1}^n x^2_i =582

\sum_{i=1}^n y^2_i =39653

\sum_{i=1}^n x_i y_i =4329

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33

And the slope would be:

m=\frac{642.33}{182}=3.529

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67

\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44

And we can find the intercept using this:

b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91

So the line would be given by:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

4 0
3 years ago
Mr.Ward runs a lot. He ran 45 minutes each day, 5 days each week , for 16 weeks . In that time, he ran 450 miles. What was his a
Savatey [412]

Answer:

7.5 miles per hour.

Step-by-step explanation:

We have been given that Mr. Ward runs a lot. He ran 45 minutes each day, 5 days each week, for 16 weeks.

First of all, we will find time for that Mr. Ward ran in 16 weeks.

We will multiply 5 by 16 to find number of days for that Mr. Ward ran and then we will multiply the result by 45 minutes to find the time.

\text{Time for that Mr. Ward ran in 16 weeks}=16\times 5\times 45\text{ minutes}

\text{Time for that Mr. Ward ran in 16 weeks}=3600\text{ minutes}

Now, we will divide 3600 minutes by 60 minutes to convert time into hours as:

\text{Hours}=\frac{3600}{60}=60

Now, we will divide 450 miles by 60 hours to find Mr. Ward's average speed as:

\text{Mr. Ward's average speed}=\frac{450\text{ miles}}{\text{60 hours}}

\text{Mr. Ward's average speed}=\frac{7.5\text{ miles}}{\text{ Hour}}

Therefore, Mr. Ward's average speed in 7.5 miles per hour.

7 0
3 years ago
X+25+7x-65=180 solve for x
kozerog [31]
X = 27.5

8x = 220, so 220/8 = 27.5
6 0
2 years ago
Read 2 more answers
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