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Andreyy89
1 year ago
12

Initial Knowledge CheckGoode Manufacturing pays Donald Sanchez a $590 monthly salary plus a 4% commission on merchandise he sell

s each month. Assume Donald's sales were$27,800 for last month.Calculate the following amounts:1. Amount of Commission:2. Gross Pay:

Mathematics
1 answer:
kherson [118]1 year ago
6 0

Solution:

Given:

\begin{gathered} monthly\text{ salary}=\text{ \$}590 \\ commission\text{ rate}=4\text{ \%} \\ Sales\text{ made}=\text{ \$}27,800 \end{gathered}

1) Amount of commission is 4% of merchandise sales made.

Hence,

\frac{4}{100}\times27800=\text{ \$}1112

Therefore, the amount of commission is $1112.

2) Gross pay is the total amount recevied.

Hence,

\begin{gathered} Gross\text{ pay}=590+1112 \\ =\text{ \$}1702 \end{gathered}

Therefore, the gross pay Donald recieved is $1702.

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What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form.
Pachacha [2.7K]

Answer:

\sqrt{93}

Step-by-step explanation:

8^2+5^2=c^2

64+25=c^2

89=c^2

c=\sqrt{89} <-- this is the length of the rectangle at the bottom

2^2+(\sqrt{89})^2=c^2

4+89=c^2

c=\sqrt{93}  <-- length of dotted line (diagonal)

6 0
3 years ago
Read 2 more answers
Help pls I need answers ASAP
pishuonlain [190]

\tt Step-by-step~explanation:

To be able to solve this question, we need to know about the Pythagorean theorem: a² + b² = c². A and b represents the two sides that make the right angle, and C represents the hypotenuse, or the longest side, of the triangle.

\tt Step~1:

We know that the hypotenuse is the longest side of the triangle, so that means 9 is c. One side of the triangle is 6, and we have to solve for b. That means 6 is a. We can plug in our values to the formula like this:

\tt a^2+b^2=c^2\\6^2+b+2=9^2\\36+b^2=81

\tt Step~2:

Now that we have our equation down, we know what we have to do next: subtract 81 from 36 to get b².

\tt 81-36=\sqrt{45}

\Large\boxed{\tt Our~final~answer:~b=\sqrt{45} ~(simplified:3\sqrt{5}) }

7 0
3 years ago
Can someone please clearly and correctly work out Q19? Would appreciate it a lot! :)
DiKsa [7]
x^{2} +10x+30
I always start by moving the last term to the other side
x^{2} +10x=-30
To complete the square you take term 'b' , divide it by 2 then square it
( \frac{10}{2} )^2 = 25
We have to add 25 to what we have and what you do to one side you have to do to the other
x^{2} +10x+25=-30+25
x^{2} +10x+25=-5
Now we factor what is on the left side of the equation
(x+5)^2=-5
The last step is to move our right side of the equation back over 
(x+5)^2+5 - which is your answer :)))


6 0
4 years ago
Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3).
jonny [76]

Answer:

y=\frac{3}{4}x^2

Step-by-step explanation:

Hi there!

Because we're given the vertex of the parabola, we can determine its equation in vertex form:

y=a(x-h)^2+k where the vertex is (h,k)

Plug in the vertex (0,0)

y=a(x-0)^2+0\\y=a(x)^2\\y=a(x-0)^2+0\\y=ax^2

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

3=a(-2)^2\\3=4a\\\frac{3}{4} =a

Therefore, the value of a is \frac{3}{4}. Plug this back into y=ax^2:

y=\frac{3}{4}x^2

I hope this helps!

5 0
3 years ago
Statements Reasons 1. BE || CD 1. Given 2. ∠A ≅ ∠A 2. Reflexive Property 3. ∠ACD ≅ ∠ABE 3. Corresponding angles formed by parall
Leno4ka [110]

Answer:

The correct option is;

C) AA Similarity Postulate

Step-by-step explanation:

The given parameters are;

BE║CD Given

∠A is congruent to ∠A Reflective property

∠ACD is congruent to ∠ABE Corresponding angles formed by parallel lines and a transversal

∠ADC is congruent to ∠AEB Corresponding angles formed by parallel lines and a transversal

ΔABE ~ ΔACD AA Similarity Postulate

When two angles of one triangle are equal to the corresponding two angles of another triangle, given that the third angle of both triangles are also equivalent based on sum of angles of a triangle postulate, the two triangles are said to be similar based on Angle-Angle (AA) Similarity Postulate.

6 0
3 years ago
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