Kisha bought a pair of shoes originally marked $48.35. The
salesclerk told her she would get a 20% discount. How much
money did she save?
$38.68
$9.67
$8.83
$38.35

Step-by-step explanation:

try this option:

[tex]a) \ log_{15}5+log_{15}3=log_{15}15;\\b) \ log_{1/2}log_{49}7=log_77;\\c) \ log_44=log_22.[/tex]

The value of x is 10 yards. The given shape is a trapezoid.

What are trigonometry ratios?

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Draw a line parallel to the base.

Name the corner point of the shape.

Assume that ∠ADG = θ.

Consider △BDF:

BD = 6 + x

DF = 8 + 4.8 = 12.8 yrds.

The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.

cos θ = DF/BD

cos θ = 12.8 /(6+x)  .....(i)

Consider △CDE:

cos θ = DE/CD

cos θ = 8/x  .....(ii)

Now equate equations (i) and (ii):

12.8 /(6+x) = 8/x

Cross multiply:

12.8 × x = 8(6+x)

12.8x = 48 + 8x

12.8x - 8x = 48

4.8x = 48

Divide both sides by 4.8:

x = 48/4.8

x = 10

To learn more about cosine, click on the below link:

https://brainly.com/question/7173566

#SPJ1

The value of x is 10 yards. The given shape is a trapezoid.

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Draw a line parallel to the base.

Name the corner point of the shape.

Assume that ∠ADG = θ.

Consider △BDF:

BD = 6 + x

DF = 8 + 4.8 = 12.8 yrds.

The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.

cos θ = DF/BD

cos θ = 12.8 /(6+x)  .....(i)

Consider △CDE:

cos θ = DE/CD

cos θ = 8/x  .....(ii)

Now equate equations (i) and (ii):

12.8 /(6+x) = 8/x

Cross multiply:

12.8 × x = 8(6+x)

12.8x = 48 + 8x

12.8x - 8x = 48

4.8x = 48

Divide both sides by 4.8:

x = 48/4.8

x = 10

To learn more about cosine, click on the below link:

https://brainly.com/question/29114352

#SPJ1

Answer:

- 420° =  -7/3 π ≈ - 2.333 π

Step-by-step explanation:

- 420° =  -7/3 π ≈ - 2.333 π

Coterminal angle in [0, 360°) range:

300°, located in the fourth quadrant.

Positive coterminal angles: 300°, 660°, 1020°, 1380°, 1740°...

Negative coterminal angles: -60°, -420°, -780°, -1140°

I hope this helps!1!!

-420° = -360° - 80° = -80°

-80° = 360° - 80° = 280°

Co terminal angle = 280° and -80°

5a) The total cost of buying the car, priced at $32,000 with the harmonized sales tax (HST) of 13%, is $36,160.

5b) Through the lease, the customer saves $14,760.

5c) The lease options for the lessee after returning the car include:

6a) The after-tax cost of the Honda Civic is $32,199.35.

6b) The value of the vehicle that needs to be financed is $26,199.35.

6c) The monthly payment will be $567.26 for 4 years.

6d) After four years, the total amount paid for the vehicle is $33,228.48.

A lease is a financing option for the use of capital assets by which the lessee utilizes an asset for a stated period while making periodic payments to the lessor.

A car purchase can also be financed through loans, like home mortgages.

Value of the car = $32,000

Harmonized Sales Tax (HST) = 13%

Cost of the car with HST = $36,160 ($32,000 x 1.13)

Down payment = $1,000

Financing part = $35,160 ($36,160 - $1,000)

Installment payments = 48

Periodic payments = $425

Total lease cost = $21,400 ($1,000 + 48 x $425)

Savings (advantages) from leasing = $14,760 ($36,160 - $21,400)

The value of the Honda Civic = $28,495

Harmonized Sales Tax (HST) = 13%

After-tax cost = $32,199.35 ($28,495 x 1.13)

Annual interest rate = 1.9% compounded monthly

Down payment = $6,000

Financing part = $26,199.35 ($32,199.35 -$6,000)

Financing period = 4 years

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 1.9%

PV (Present Value) = $26,199.35

FV (Future Value) = $0

P/Y (# of periods per year) = 12

C/Y (# of times interest compound per year) = 12

Results:

Monthly Payments (PMT) = $567.26

Sum of all periodic payments = $27,228.48

Total Interest $1,029.13

Total amount paid over 4 years = $33,228.48 ($27,228.48 + $6,000)

Learn more about Car Financing at https://brainly.com/question/28803707

#SPJ1

Answer:

10 ml of 10%

30 ml of 50%

Step-by-step explanation:

x = amount of 10%

40 - x = amount of 50%

-------------------------------------

10x + 50(40 - x) = 40(40)

10x + 2000 - 50x = 1600

-40x + 2000 = 1600

-40x = -400

x = 10 ml of 10%

40 - x = 30 ml of 50%

Answer:

1. The radius of a circle is  5 m

Option B

2. The area of circle is

Option A  

3. The area of a triangle is

Option C

4. To compute for the area of the shaded region we  

B. subtract both areas

5. What is the area of the shaded region?

Option A

Answer:

4/15

Step-by-step explanation:

find common denominators, which is 15

multiply 2/3 by 5 and and 2/5 by 3

2 x 5 = 10 and

3 x 5 = 15

10/15

2 x 3 = 6 and

5 x 3 = 15

6/15

subtract numerators

10 - 6

 15

= 4/15

Answer:

The ratio given cannot be used to find the answer

Answer:

7/8 = 87.5%

Step-by-step explanation:

You have only one of eight (1/8) evenly divided sections that is orange. The rest is not orange (1 - 1/8 = 7/8).

Therefore, spinning once will yield 7/8 odds of not landing on orange, or 0.875 or 87.5%.

The probability of not getting orange is 87.5%. The correct option is C.

Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favourable outcomes to all outcomes.

Probability = Number of favourable outcomes / Number of samples

Given that a spinner with repeated colours numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.

You only have one of eight (1/8) evenly divided orange sections.

The rest is not orange,

P = (1 - 1/8

P =  7/8

P = 87.5%

Therefore, spinning once will yield 7/8 odds of not landing on orange or 0.875 or 87.5%.

To know more about probability follow

https://brainly.com/question/30144851

#SPJ2

The least amount of money that was originally put in the savings account is $426.

The amount of money in the savings account is a function of the money that was originally in the account and the amount by which the account was increased by.

The inequality that represents the total amount of money in the savings account is:

amount originally in the account + amount deposited > 500

x + $75 > $500

x > $500 - $75

x > $425

The least amount would be $426 because this is the smallest number that is greater than $425 that would make the total amount more than $500.

To check:

$75 + $426 = $501

To learn more about savings, please check: https://brainly.com/question/28727268

#SPJ1

The closest to the number of yards of ribbon Mario had altogether will be 11 yards

A fraction is a part of the whole number, and a way to split up a number into equal parts. Or, A number that is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Given that;

Mario had 8 1/5 yards of ribbon for a project.

And, Sue gave him 2 3/4 more yards of ribbon.

Since Mario had 8 1/5 yards of ribbon for a project. And, Sue gave him 2 3/4 more yards of ribbon.

Hence, Total ribbon for the project Mario have = 8 1/5 yards + 2 3/4 yards

= 41/5 + 11/4

= (164 + 55) / 20

= 219 / 20 yards

= 10.95 yards

≈ 11 yards

Thus, the total ribbon for the project Mario has = 11 yards

The complete question is given below;-

Mario had 8 1/5 yards of ribbon for a project. Sue gave him 2 3/4 more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?

To learn more about the fraction visit:

brainly.com/question/5454147

#SPJ1

The distance that the minute hand moves in 50 minutes, given that it started at 7 minutes, is 258 degrees.

A rotatation around the clock by the minute hand, is a full 360 degrees as it begins at 12 and ends at 12 .

If a minute hand is at 7 minutes, then it means that the degrees moved is:

= 7 / 60  x 360

= 42 degrees

At 50 minutes, the degrees moved is :

= 50 / 60 x 360

= 300 degrees

Seeing as the minute hand started at 7 minutes, the distance moved is :

= 300 - 42

= 258 degrees

Find out more on minute hand at https://brainly.com/question/17106527

#SPJ1

Answer:

16 1/2 as a decimal is 16.5.

We convert it to an improper fraction which, in this case, is 33/2 and then we divide the new numerator (33) by the denominator to get our answer.

Answer:

16.5% and 16.5

Step-by-step explanation:

Answer:

It is False

Step-by-step explanation:

16>17 is not a true statement.

Answer:

1.6 hours

Step-by-step explanation:

Answer:

[tex] \frac{8}{5}~hours~~or~~1.6~hours} [/tex]

Step-by-step explanation:

[tex] \frac{4}{5}~of~2~hours = [/tex]

[tex] = \frac{4}{5} \times 2~hours [/tex]

[tex]= \frac{4}{5} \times \frac{2}{1}~hours[/tex]

[tex] = \frac{4 \times 2}{5 \times 1}~hours [/tex]

[tex] = \frac{8}{5}~hours [/tex]

[tex] = 1.6~hours [/tex]

Teacher: In all your subjects I am giving you D's.

Student: Well I am also going to be giving you D's.

Teacher: What do you mean?

Student: Deeez nuts!

The 95% confidence interval for the proportion of people who prefer Candidate A is given as follows:

(0.438, 0.522).

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The parameters for this problem are given as follows:

[tex]n = 550, \pi = \frac{264}{550} = 0.48[/tex]

Hence the lower bound of the interval is obtained as follows:

[tex]0.48 - 1.96\sqrt{\frac{0.48(0.52)}{550}} = 0.438[/tex]

The upper bound of the interval is obtained as follows:

[tex]0.48 + 1.96\sqrt{\frac{0.48(0.52)}{550}} = 0.522[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

The angle measure of ∠F is approximately 66.9º.

What is an angle?

To find ∠F, we can use the Law of Cosines:

c² = a² + b² - 2ab cos(C)

Where c is the side opposite to the angle we want to find (in this case, side EF), a and b are the other two sides, and C is the angle opposite to side c (in this case, ∠F).

First, we need to find the length of side EF:

EF² = DE² + DF² - 2DE * DF cos(∠D)

EF² = (9.8)² + (5.6)² - 2(9.8)(5.6)cos(149º)

EF² ≈ 95.415

EF ≈ 9.769

Now, we can use the Law of Cosines again to find ∠F:

EF² = DE² + DF² - 2DE * DF cos(∠F)

cos(∠F) = (DE² + DF² - EF²) / 2DE * DF

cos(∠F) = ((9.8)² + (5.6)² - (9.769)²) / (2 * 9.8 * 5.6)

cos(∠F) ≈ 0.4035

∠F ≈ [tex]cos^{-1(0.4035)}[/tex]

∠F ≈ 66.9º (rounded to the nearest 10th)

Therefore, the measure of ∠F is approximately 66.9º.

To know more about angle, visit:

https://brainly.com/question/28451077

#SPJ1

Complete question is: In ADEF, e = 9.8 inches, f = 5.6 inches and ZD=149º, the measure of ∠F is approximately 66.9º.

The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5² + 7 - 3 + 4

Simplify the expression, then we have

⇒ 5² + 7 - 3 + 4

⇒ 25 + 7 - 3 + 4

⇒ 36 - 3

⇒ 33

The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

B) 5x+15y=30

5x-5y=10

Step-by-step explanation:

First, we solve the top equations by addition.  Multiply the first one by -4.

-4x-12y=-24

4x-8y=4

This equals -20y=-20, so y=1.  Now we put that back into either equation and find that x=3.  So the solution set is (3,1)

Plugging those into each of the possible choices, we find that the answer is

B) 5x+15y=30.   5(3)+15(1)=30 15+15=30.   30=30 CHECK

5x-5y=10     5(3)-5(1)=10.  15-5=10.    10=10. CHECK

The new frequency of short tail mice in HJP is 0.60.

Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.

Let, initial number of mice in HJP be 'x'

and the number of mice travelling from BioPyc building to HJP be 'ý

So, Total mice in HJP= x+ y

As, [tex]\frac{y}{x+y} = 0.2[/tex]

  y= 0.2x + 0.2 y

   0.8y =0.2 x

    x= 4y

Now, total short tail mice in HJP= 0.7 x + 0.2 y

Thus, New frequency of short tail among mice in HJP

 = [tex]\frac{0.7x + 0.2y}{x+y}[/tex]

Put x= 4y in above equation we get,

= [tex]\frac{0.7 * 4y+ 0.2y}{4y+y}[/tex]

= [tex]\frac{3y}{5y}[/tex]

= 0.60

Hence, the new frequency of short tail mice in HJP is 0.60.  

Learn more about algebra here:

https://brainly.com/question/9513859

#SPJ2

Answer:

[tex]3a + 1 - a = 9 \\ 2a = 8 \\ a = 4 \\ 5a + 2 = \\ 5(4) + 2 = 22[/tex]

first find the value of a, which is 4

then substitute a with 4

Yes, when we connect the points, we get straight line.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, you are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes.

Your altitude h after you have risen for t minutes is given by the function h = 250+ 20t.

a) Make a table to show the altitude as a function of the number of minutes you have traveled.

    t         h

    0     250

    1      270

    2     290

    3      310

b) Graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).

c) Yes, when we connect the points, we get straight line.

Hence, graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

The slope-intercept form of the two straight lines in the graph of the question are;

The slope-intercept form of the equation of a straight line is; y = m·x + c

Where;

m = The slope of the line

c = The y-intercept of the line

The values of the ordered pair of the points on the line are in the form (x, y)

The graph consists of two straight lines, therefore the equations that represent the graphs are found as follows;

Points on the blue line graph are (0, 4), (2, 4), and (4, 4)

The slope of the blue line graph is therefore;

m = (4 - 4)/(2 - 0) = 0

The y-intercept of the blue line graph is; c = 4

The slope-intercept form of the equation representing the blue line graph is therefore;

y = 0 × x + 4

The slope-intercept form of the equation of the blue line graph is; y = 4

Points on the red line graph are; (0, 3), (2, 3), (4, 3)

The sloped of the red line graph is therefore; m = (3 - 3)/(2 - 0) = 0

The y-intercept of the red line graph is; c = 3

The slope-intercept form of the equation of the red line graph is therefore; y = 0 × x + 3

y = 3

Learn more on the slope-intercept form of the equation of a straight line here: https://brainly.com/question/1091436

#SPJ1

Answer: tens

Step-by-step explanation: after ones comes tens, before ones comes decimal point

Answer:

One dot mark above one hundred and thirty-six. A) 92, 88, 100, 136, 106, 79, 88, 86, 98, 115. B) 92, 88, 100 ...

Step-by-step explanation:

Answer: 7t+7

Step-by-step explanation: i know

Well, both 4t and 3t have the same variable so add them together to get 7t, then add 4 and 3 to get 7, so your fill in the blank should be 7t+7