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2 years ago

PLEASE HELP FOR TEST will mark brainiest !!

Mathematics

2 answers:

sdas [7]2 years ago

6 0

Answer:

552.920307 yd^2 or 552.92 yd^2 for sigfigs

Step-by-step explanation:

basically you take the area of the entire circle and subtract the interior circle to leave the ring and that’s your answer

so the area formula of a circle is π r^2

the radius (r) is just half the diameter so the entire diameter is 48 so the radius is 24 - π(24)^2 = 1809.557368^2

then the interior circle’s diameter is 40 so the radius is 20 - π(20)^2 = 1256.637061^2

so now it’s just subtraction:

1809.557368 yd^2 - 1256.637061 yd^2 =
552.920307 yd^2 or 552.92 yd^2 for sigfigs

hope this helps :)

Lana71 [14]2 years ago

6 0

Answer:

552 yd squared

Step-by-step explanation:

We first find the entire area of the circle which should look like this:

24^2(3.14) = 1808
<em>keep in mind that the formula for finding the area of a circle is r^2(3.14)</em>

Next we get the area of the inner circle which should look like this:

20^2(3.14) = 1256

Now the final step is to subtract 1256 from 1808. You will now get 552 yd squared as your final answer!

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Complete the table and find the balance A if $5000 is invested an an annual rate of 6% for 15 years and compounded n times a yea

Olenka [21]

Answer:

1: 11982.79

2: 12136.31

4: 12216.09

12: 12270.46

365: 12297.10

Step-by-step explanation:

The compound interest formula is A=P*(1+r/n)^nt

P=principal amount

r=rate

n=number of compounds per period

t=number of periods

In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.

For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.

For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.

And so forth. Good luck

5 0

3 years ago

Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp

zepelin [54]

Answer:

C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.

Step-by-step explanation:

Given that 20% of the residents in a certain state support an increase in the property tax.

Sample size = 400

We want the sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)

i.e. margin of error <0.04

Std error of sample = $\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.2(0.8)}{400} } \\=0.02$

Critical value = margin of error/ std error = $\frac{0.04}{0.02} \\=2$

We know z value for 95% two tailed roughly equals 2.

Hence 95% confidence is right.

C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.

6 0

3 years ago

Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 in

love history [14]

Answer:

Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4

Step-by-step explanation:

Given : Samantha has a shelf that is 95 over 4 inches wide.

To find : How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick?

Solution :

The thickness of shelf = $\frac{95}{4}$ inches

Each book thickness = $\frac{5}{4}$ inches

Let the total number of books that could be arranged in the shelf be 'n'.

$\text{Number\ of\ books\ arranged}=\dfrac{\text{Thickness\ of\ shelf}}{\text{Thickness\ of\ one\ book}}$

Substitute the values,

$n=\dfrac{\dfrac{95}{4}}{\dfrac{5}{4}}$

$n=\dfrac{95\times 4}{5\times 4}$

$n=\dfrac{95}{5}$

$n=19$

Therefore, option 1 is correct.

19, because the number of books is 95 over 4 divided by 5 over 4

4 0

3 years ago

Calculate the Social Security and Medicare tax that would be applied to an annual salary of $235,430. Use $106,800 for maximum t

Artemon [7]

<span>Social Security tax is a percentage that both employees and employers must contribute 6.2% of employee compensation, for a total of 12.4%. The social security that would be applied to an annual salary of $235,430 using $106,800 as the maximum taxable income is 12.4% of $106,800 = 0.124 x $106,800 = $13,243.20 The Medicare payroll tax is 2.9%. It applies only to earned income, which is wages you are paid by an employer, plus tips. You're responsible for 1.45% of the tax, and it's deducted automatically from your paycheck. Your employer pays the other 1.45% The Medicare tax that would be applied to an annual salary of $235,430 using $106,800 as the maximum taxable income is 2.9% of $106,800 = 0.029 x $106,800 = $3,097.20 </span>

5 0

2 years ago

I’m honestly done with math

rewona [7]

Answer:

15.

Step-by-step explanation:

8x - 10 = 110 (vertical angles are equal in measure).

8x - 10+ 10 = 110 + 10

8x = 120

x = 120 /8

x = 15.

3 0

3 years ago