Mae Ling earns a weekly salary of $310 plus a 8.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,100 worth of merchandise

Answer:

x = 4√7

y = 8√7

Step-by-step explanation:

Reference angle = 60°

Opposite = 4√21

Hypotenuse = y

Adjacent = x

To find x, apply TOA

Tan 60 = Opp/Adj

Tan 60 = (4√21)/x

x * Tan 60 = 4√21

x = (4√21)/Tan 60

x = (4√21)/√3 (tan 60 = √3)

Rationalize

x = (4√21*√3)/√3*√3

x = (4√63)/3

x = (4*3√7)/3

x = 4√7

To find y, apply SOH:

Sin 60 = Opp/Hyp

Sin 60 = (4√21)/y

y*Sin 60 = 4√21

y = 4√21/sin 60

y = (4√21)/(√3/2)

y = ✓(4√21 × 2/√3)

y = (8√21)/√3

y = 8√7

The median of the set of data with values 10,12,15,16,18,20 is 15.5.

The median is one of the measures of central tendency.

The median is the middle value of a data set.

When the data set is even, the median is found by adding the two middle values and dividing by 2.

10,12,15,16,18,20

Total value = 91

Median = 15.5 (15 + 16)/2

Thus, the median of the set of data with values 10,12,15,16,18,20 is 15.5.

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Answer:

-137-l+25a

Step-by-step explanation:

The given expression is :

- 63 - |-74 +25 a

We need to find the value of the expression.

Gere, l and a are variables.

-63-74 = -137

So,

= -137-l+25a

Hence, the value of the expression is equal to -137-l+25a

Answer:

2x2/er5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

x = - 20 / 3, y = 14 / 3

Step-by-step explanation:

In the picture

Answer:

Fixed cost $14 -350 messages

variable $ 0.25 each message i think

Step-by-step explanation:

Answer:

Triangle C and D

Is your correct answer

Triangle A have 3 sides equal so it is equilateral triangle

Triangle B have 2 sides equal so it is isosceles triangle

Triangle C have no equal sides so it is scalene triangle

Triangle D have no equal sides so it is scalene triangle

Triangles C and D are scalene triangles.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle A has three sides each measuring 7 units.

Triangle B has two sides that are equal in length, and the base is longer than the two sides.

Triangle C has no sides of equal length.

Triangle D has sides of length seven, three, and six.

Now, We know that;

A scalene triangle have different sides.

Hence, Triangles C and D are scalene triangles.

Thus, We get;

Triangles C and D are scalene triangles.

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Answer:

1/5 to 1/5

Step-by-step explanation:

Answer:

4a) [tex]\frac{2}{3}[/tex] · (5 + 7)

b) 3 ÷ (3/5)

c) ([tex]\frac{2}{3}[/tex] - [tex]\frac{1}{2}[/tex]) ÷ 3

Step-by-step explanation:

Answer:

1.) t - distribution

2.) H0 : μ = 60000 ; H1 : μ > 60000

3.) P < α (Reject Null) ; P > α (fail to reject Null)

4.) Reject H0

Type 1 error

Step-by-step explanation:

Null hypothesis, H0 : μ = 60000

Alternative hypothesis, H1 : μ > 60000

Decison rule at 5% significance ;

P < α (Reject Null)

P > α (fail to reject Null)

Xbar = 72000 ; std = 9000

Test statistic :

(Xbar - μ) ÷ (std / sqrt(n))

(72000 - 60000) ÷ (9000 / sqrt(25))

12000 ÷ 1800

Test statistic = 6.667

Using the Pvalue calculator from test statistic :

Test statistic = 6.667 ; df = 24 - 1 = 24

Pvalue = 0.00001

Pvalue < α ; Hence, we reject the Null

Type 2 error : This means accepting a Null hypothesis that should be rejected.

Answer:

slope= -2

Step-by-step explanation:

Answer:

1. - 6.75

2. 15/28

3. - 3.3

Step-by-step explanation:

The first is correct because a positive times a negative is a negative.

The second is incorrect. It should be 15/28 because a negative times a negative is a positive.

The third is incorrect because a positive times a negative is a negative.

The answer should be

1. - 6.75

2. 15/28

3. - 3.3

Answer:

Can I see it actually?

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: -5

Explanation:

First -25/j = 5

-25 = 5j

-25/5 = 5j / 5

-5 = j

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Lines.

We know that perpendicular lines have a inverse negative slope, such that

m1*m2 = -1

hence, m1 = -1/m2

so the perpendicular line is,

==> y-(5) = 3/2(x-(-6))

==> y+5 = 3/2(x+6)

==> y+5 = 3/2*(x) +9

=> y = 3/2(x) +9-5

==> y = 3/2*(x) + 4

hence the correct option is D.)

Answer:

The 3D figure formed is a Cuboid.

Answer:

The figure with 2 congruent, parallel, rectangular bases is a cuboid.

Answer:

a

Step-by-step explanation:

times 4

Answer:

C. 35 to 49 Minutes

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

125+29=154

180-154=26

9514 1404 393

Answer:

  1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625

Step-by-step explanation:

An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...

  1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05

This multiplication expression is evaluated in the usual way.

  = 1.1025 × 1.05 × 1.05 × 1.05

  = 1.157625 × 1.05 × 1.05

  = 1.21550625 × 1.05

  = 1.2762815625

__

All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is [tex]\displaystyle \boxed{y^x}[/tex]. The particulars of the function of this button can be found in the manual for your calculator.

For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)

Answer:

The area increases by 5.46261%

Step-by-step explanation:

Well firstly, the area of an ellipse is not ab, but it's proportional to ab ([tex]\pi ab[/tex] where a and b are the semi-minor and semi-major axes).

This tells us that when a increases by 2.74% and b increases by 2.65% the new area will be:

[tex]A = \pi \cdot (a \cdot 102.74\%)(b \cdot 102.65\%) = \pi a b \cdot 102.74\% \cdot 102.65\% = \pi ab \cdot 105.46261\%[/tex]

The percentage change in area of the ellipse is 5.5%

The area of an ellipse with an axes of length  of 2a and 2b is πab.

Area of ellipse = πab

Since a increases by  2.74%, hence a = (100% + 2.74%)a = 1.0274a

Also, b increases by  2.65%, hence b = (100% + 2.65%)b = 1.0265b

Therefore the new area = π * 1.0274a * 1.0265b = 1.055πab

The ratio in the area = 1.055πab/ πab = 1.055

The percentage change in area of the ellipse is 5.5%

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Answer:

10.5

Step-by-step explanation:

Mean = average so 18+4+12+8/4 = 10.5

Answer:

10.5

its on khan academy i double checked

Answer:

[tex] m\widehat {MP} =46\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle MQP=\frac{1}{2} \times \widehat {MP} [/tex]

[tex] 23\degree =\frac{1}{2} \times m\widehat {MP} [/tex]

[tex] 23\degree \times 2= m\widehat {MP} [/tex]

[tex] m\widehat {MP} =46\degree [/tex]

Answer:

Step-by-step explanation:

When you shift up or down, the function gets added to or subtracted from the expression on the right of the y value.  Put in simpler language, for this question, the equation becomes.

g(x) = f(x) + 13

And the solution is

g(x) = ln(x) - 1 + 13

g(x) = ln(x) + 12

Answer: 149656

Step-by-step explanation:

The  balance of the loan is $148,968

Using this formula

Loan balance=Mortgage amount-Monthly payment

Where:

Mortgage amount=$150.000

Monthly payment=$1,031.83

Let plug in the formula

Loan balance=$150.000-$1,031.83

Loan balance=$148,968

Inconclusion The  balance of the loan is $148,968

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Answer:

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zeros of −5, 4i, and −4i

This means that [tex]x_1 = -5, x_2 = 4i, x_3 = -4i[/tex]. So

[tex]f(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]

[tex]f(x) = a(x - (-5))*(x - 4i)*(x - (-4i))[/tex]

[tex]f(x) = a(x + 5)(x - 4i)(x + 4i)[/tex]

[tex]f(x) = a(x + 5)(x^2 - 16i^2)[/tex]

Since [tex]i^2 = -1[/tex]

[tex]f(x) = a(x + 5)(x^2 + 16)[/tex]

[tex]f(x) = a(x^3 + 5x^2 + 16x + 80)[/tex]

Has a value of 40 when x=3

We use this to find a, which means that we have [tex]x = 3, f(x) = 40[/tex]. So

[tex]a(3^3 + 5*3^2 + 16*3 + 80) = 40[/tex]

[tex]200a = 40[/tex]

[tex]a = \frac{40}{200} = \frac{1}{5} = 0.2[/tex]

So

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]

Answer:

Since each cracker in the 190 gram box costs $ 0.0078 while the 850 gram box costs $ 0.0082 each, the 190 gram box is a better deal.

Step-by-step explanation:

Knowing that a 190-gram box of crackers costs $ 1.49 and an 850-gram box costs $ 6.99, to determine which of them is a better deal, the following calculation must be performed:

1.49 / 190 = 0.0078

6.99 / 850 = 0.0082

Therefore, since each cracker in the 190 gram box costs $ 0.0078 while the 850 gram box costs $ 0.0082 each, the 190 gram box is a better deal.

The option that is false regarding the low credit score is that she is more likely to get a loan with a low-interest rate.

A credit score is a numerical expression that is based on a level analysis of a person's credit files, to represent the creditworthiness of an individual.

In this case, she is not likely to get a loan with a low-interest rate because of her poor credit score.

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Answer:

x = 21.6

Step-by-step explanation:

Solution by Cross Multiplication

For the equation

35=x36

The cross product is

3×36=5×x

Solving for x

x=3×365

and reducing

x=21.6

Solution by Proportion

Since the equation is an equality

If

36 ÷ 5 = 7.2

Then it is true that

x ÷ 3 = 7.2

Solving for x

x = 3 × 7.2

x = 21.6