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3 years ago

Calculate. 7.75% of $9,000 = 69,750.00 6,975.00 69.75 697.50

Mathematics

2 answers:

valina [46]3 years ago

4 0

Answer:

$ 697.50

Step-by-step explanation:

Given: 7.75% of $9,000,

To find : Calculate .

Solution: we have given that 7.75% of $9,000.

7.75% of $9,000 = $\frac{7.75*9000}{100}$ .

7.75% of $9,000 =7.75*90.

7.75% of $9,000 = 697.50.

7.75% of $9,000 = $ 697.50

Therefore, $ 697.50

VikaD [51]3 years ago

3 0

Answer:

697.5

Step-by-step explanation:

to find a percent of the number, you take the decimal version of the percent and multiply

7.75% as a decimal is .0775

.0775 * 9000= 697.5

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The sum of two numbers is 70. one number is 4 times as large as the other. What are the numbers?

FinnZ [79.3K]

One number is 4 times the other, so x and 4x.

The sum of two numbers is 4x+x=70.

Solve for x to get

x=70/5=14

the other number is 4x=4*14=56

4 0

3 years ago

Read 2 more answers

Find the area of a regular octagon with an apothem of 7 inches and a side length of 5.8 inches. (nearest tenth)

Kisachek [45]

Answer:

162.4 in²

Step-by-step explanation:

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Let's start with what we know:

Area of regular octagon = 1/2 x perimeter x apothem

We know the apothem, so all that we need to find to fill in the above equation is the perimeter:

perimeter = 8 x 5.8 = 46.4in

Now we can fill in our original equation and solve:

Area of regular octagon = 1/2 x perimeter x apothem

Formula = n (s/2)² divided by tan( π /n)

= 8 (5.8/2)² divided by tan ( π /8)

= 162.4283 in²

ORRR when rounded to the nearest tenth,

=162.4 in²

6 0

3 years ago

Below are survival times (in days) of 13 guinea pigs that were injected with a bacterial infection in a medical study:

tresset_1 [31]

Outliers are data that are relatively far from other data elements.

The dataset has an outlier and the outlier is 120

The dataset is given as:

91 83 84 79 91 93 95 97 97 120 101 105 98

Sort the dataset in ascending order

79 83 84 91 91 93 95 97 97 98 101 105 120

<h3>The lower quartile (Q1)</h3>

The Q1 is then calculated as:

$Q1 = \frac{N +1}{4}th$

So, we have:

$Q1 = \frac{13 +1}{4}th$

$Q1 = \frac{14}{4}th$

$Q1 = 3.5th$

This is the average of the 3rd and the 4th element

$Q1 = \frac{1}{2} \times (84 + 91)$

$Q1 = 87.5$

<h3>The upper quartile (Q3)</h3>

The Q3 is then calculated as:

$Q3 = 3 \times \frac{N +1}{4}th$

So, we have:

$Q3 = 3 \times \frac{13 +1}{4}th$

$Q3 = 3 \times 3.5th$

$Q3 = 10.5th$

This is the average of the 10th and the 11th element.

$Q_3 =\frac12 \times (98 + 101)$

$Q_3 =99.5$

<h3>The interquartile range (IQR)</h3>

The IQR is then calculated as:

$IQR = Q_3 -Q_1$

$IQR = 99.5 - 87.5$

$IQR = 12$

Also, we have:

$IQR(1.5) = 12 \times 1.5$

$IQR(1.5) = 18$

<h3>The outlier range</h3>

The lower and the upper outlier range are calculated as follows:

$Lower = Q_1 - IQR(1.5)$

$Lower = 87.5- 18$

$Lower = 69.5$

$Upper = Q_3 + IQR(1.5)$

$Upper = 99.5 + 18$

$Upper = 117.5$

120 is greater than 117.5.

Hence, the dataset has an outlier and the outlier is 120

Read more about outliers at:

brainly.com/question/9933184

6 0

2 years ago

Katha walks 5 blocks east. Then she walks straight back to where she started and walks 5 blocks west.

anyanavicka [17]

Answer:

5 is the point on the number line how far she walked east

0 is the point on the number line where she began walking

-5 is the point on the number line how far she walked west

Step-by-step explanation:

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3 years ago

How do I get the answer for this quadratic equation in simplest form?

konstantin123 [22]

Answer:

x = 7 ± $\sqrt{15}$

Step-by-step explanation:

Given

4(x - 7)² - 48 = 12 ( add 48 to both sides )

4(x - 7)² = 60 ( divide both sides by 4 )

(x - 7)² = 15 ( take the square root of both sides )

x - 7 = ± $\sqrt{15}$ ( add 7 to both sides )

x = 7 ± $\sqrt{15}$

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3 years ago