Solve the problem.
A dress regularly sells for $135. The sale price is $93. Find the percent decrease of the sale price from the regular
price.
31.1%
221.4%
45.2%
68.9%

Francisco is probably a beaner or mongrel with no business working or even existing in a white nation.

The prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].

It is required to find the prime factorization of 72.

Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number. The fundamental theorem of arithmetic says that every positive integer has a unique prime factorization.

Given that:

The prime factorization for 72 is

=2×2×2×3×3 .

=[tex]2^{3} *3^{2}[/tex]

Hence,  the prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].

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Answer:

27:9

Step-by-step explanation:

Step-by-step explanation:

Step 3 is incorrect, it should be x - 4 + x = x(x - 3).

x - 4 + x = x(x - 3)

2x - 4 = x² - 3x

x² - 5x + 4 = 0

(x - 4)(x - 1) = 0

x = 4 or x = 1.

x = 4 is rejected as 1 / (x - 4) will become 1 / 0 which is undefined.

=> x = 1.

Answer:

Part B:

5) She will have $4445.244256 in 3 years

Part C:

1) She will have $8081.130039 in 10 years

2) He will have $13360.55059 in 8 years

Step-by-step explanation:

The formula of the compound interest is A = P [tex](1+\frac{r}{n})^{nt}[/tex], where

Part B:

5)

∵ P = $4250

∵ r = 1.5% = 1.5 ÷ 100 = 0.015

∵ n = 4 ⇒ Compounded quartly

∵ t = 3 years

→ Substitute them in the formula above

∴ A = 4250 [tex](1+\frac{0.015}{4})^{4(3)}[/tex]

∴ A = 4250 [tex](1.00375)^{12}[/tex]

∴ A = 4445.244256

∴ She will have $4445.244256 in 3 years

Part C:

1)

∵ Grace deposits $6000

∴ P = 6000

∵ The account is compounded semi-annually at 3%

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 2 ⇒ compounded semi-annually

∵ The time is 10 years

∴ t = 10

→ Substitute them in the formula above

∴ A = 6000 [tex](1+\frac{0.03}{2})^{2(10)}[/tex]

∴ A = 6000 [tex](1.015)^{20}[/tex]

∴ A = 8081.130039

∴ She will have $8081.130039 in 10 years

2)

∵ Danial opens an account that is compounded semi-annually at 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∴ n = 2 ⇒ compounded semi-annually

∵ He deposits $9000

∴ P = 9000

∵ The time is 8 years

∴ t = 8

→ Substitute them in the formula above

∴ A = 9000 [tex](1+\frac{0.05}{2})^{2(8)}[/tex]

∴ A = 9000 [tex](1.025)^{16}[/tex]

∴ A = 13360.55059

∴ He will have $13360.55059 in 8 years

The anwser is -415

hope this helped!

Answer:

Step-by-step explanation:

Devon's sister is incorrect.

Note 6 drinks thats cost $2.99

2.99 divided by 6 is $0.50

Thus each drink is approx. $0.50

She would find it if she divided total number of drinks by the total price

Answer:

Liz

Step-by-step explanation:

liz types more words per min.

Answer: 6/7

Step-by-step explanation: So 3/7 divided by 4/8. You can simplify 4/8 to 1/2. So then it would be 3/7 times 2/1. The answer would be 6/7

Answer:

I think

Step-by-step explanation:

-5,-2,-1,0,3 that is definitely my answer

Answer:

the last one

Step-by-step explanation:

......

...

Answer:

Step-by-step explanation:

From the question. The first term is a which is 4. The common ratio is 8/4 = 2. n is 12 since we are looking for the 12th term.

The solution is attached below. The answer is 8192

The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is given by

A = 4 , 8 , 16 , ..

Now , the geometric progression is given by the formula

aₙ = arⁿ⁻¹

where aₙ is the nth term of the sequence

a is the first term

r is the common ratio

n is the number of terms

Now , the common ratio r can be found out by

Common ratio r = second term / first term

Substituting the values in the equation , we get

Common ratio r = 8 / 4

Common ratio r = 2

Now , substituting the value in the equation , we get

The 12th term of the geometric progression is

a₁₂ = arⁿ⁻¹

The value of a₁₂ = 4 ( 2 ) ¹²⁻¹

The value of a₁₂ = 4 ( 2 )¹¹

The value of a₁₂ = 4 x 2048

The value of a₁₂ = 8192

Therefore , the value of a₁₂ is 8192

Hence , The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192

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Step-by-step explanation:

True

and the more mass the object had the greater gravitational force it is

P. S my opinion

Answer:4:24 I believe

Step-by-step explanation:

Answer:

4:25

Step-by-step explanation:

The little string stand for hour and the big string stands for the minutes

Answer:

The slope of the first graph is [tex]\frac{2}{3}[/tex] and the slope of the second graph is [tex]\frac{4}{2} = 2[/tex]

Step-by-step explanation:

First Graph

1. use rise over run to find the slope

2. the line goes up 2 numbers before it touches again

3. the line goes ever 3 numbers before it touches again

Second Graph

1. use rise over run to find the slope

2. the line goes up 4 numbers before touching again

3. the line goes over 2 numbers before touching again

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

Given that the degree measure of one of two complementary angles is twice that of the other.

Complementary angles

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?

A.) 30 degrees

Let one angle = x

According to statement,

Another angle = 2 × first angle

[tex] \sf : \implies Another \: angle = 2x[/tex]

Now, we know that sum of complementary angles is 90°

Hence,

[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]

[tex] \sf : \implies 3x = 90^{\circ}[/tex]

[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]

[tex] \sf : \implies x = 30^{\circ}[/tex]

[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]

Therefore, one of the angle is 30°.

Another angle = 2 × 30° = 60°

Answer:

a. 3/8

b. 11/3

Step-by-step explanation:

a. For this, we need to use a fraction to compare how many of each marble there are. 3 blue to 8 red. The ratio is 3 to 8 or 3/8

b. Now we have to compare how many all the marbles in the bag to just the blue marbles. All the marbles: 8+3=11, blue marbles: 3. So the ratio is 11 to 3 or 11/3

a) The ratio of blue marbles to red marbles: 3/8.

b) The ratio of all marbles to blue marbles: 11/3.

(a) To find the ratio of blue marbles to red marbles, divide the number of blue marbles by the number of red marbles.

Blue marbles: 3

Red marbles: 8

So, the ratio is 3/8

(b) To find the ratio of all marbles in the bag to blue marbles, divide the total number of marbles by the number of blue marbles.

Total marbles = 8 + 3

                       = 11

So, the ratio is 11/3.

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Answer:

30= 20 so, that’s 10 dollars of

                                            1o+ 7. 5=17. 5+10=27 .50

Step-by-step explanation:

I took the test hope this helps

Answer:

3

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Answer:

9/10 bc it would be .90 in decimals

Step-by-step explanation:

Answer:

9/10 is

Step-by-step explanation:

9/10 as a decimal is 0.9 and if you line them up, 0.9 is greater than 0.45

Answer:

25.4

Step-by-step explanation:

1/3 ( 2.55+.75) +3* 8.1

Using pemdas, parentheses first

1/3 ( 3.3) +3* 8.1

Then multiply

1.1 + 24.3

Then add

25.4

Answer:

cost of jacket 55

sales tax 2/

55/ 2 percent × 100

2,750

Answer: [tex]=(29.1596\text{ degrees},\ 30.2404\text{ degrees})[/tex]

Step-by-step explanation:

Given: Sample size: n = 41

Sample mean [tex]\overline{x}= 29.7[/tex] degrees

Population standard deviation [tex]\sigma=2.7[/tex] degrees

Confidence level (c) =  80% =0.80

Significance level (a) = 1- c = 1-0.80 = 0.20

z-score for 80% confidence level : z = 1.2816   [from z-table]

Confidence level for population mean :-

[tex]\overline{x}\pm z\dfrac{\sigma}{\sqrt{n}}[/tex]

[tex]=29.7\pm ( 1.2816)\dfrac{2.7}{\sqrt{41}}[/tex]

[tex]=29.7\pm ( 1.2816)\dfrac{2.7}{6.403124}[/tex]

[tex]=29.7\pm ( 1.2816)(0.42167)[/tex]

[tex]=29.7\pm 0.5404[/tex]

[tex]=(29.7-0.5404,\ 29.7+0.5404)[/tex]

[tex]=(29.1596,\ 30.2404)[/tex]

Hence, 80% confidence interval for the temperatures in the freezer [tex]=(29.1596\text{ degrees},\ 30.2404\text{ degrees})[/tex]

Answer:

5.5 feet per second or 330 feet per minute

Step-by-step explanation:

550/100 seconds = 5.5 feet per second  

5.5 x 60 = 330 feet per minute

Answer:

3.75 mph (miles per hour)

(i finally got the right answer, ignore my comment, i am so sorry it was wrong T_T)

Answer:

$2.85 per person

Step-by-step explanation:

$191.10 * 0.15 = $28.665 tip

total tip divide by 10 people

$28.665/10 = $2.85

Each person has to contribute $2.85 amount for the tip.

Given,

Total no. of person go out for dinner = carrie + her nine friends

                                                             = 1+9 = 10

Amount of the bill is = $191.10

Amount of tip is = 15% of the bill

                           = [tex]\frac{15 }{100}[/tex] × $  191.10

                           = 28.665

Total amount each person contribute an equal amount for tip is = [tex]\frac{28.665}{10}[/tex]

=$ 2.85

Each person contribute $2.85 amount for the tip.

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