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2 years ago

15

José was paid an 8 percent commission on the used car that he sold. The used car lot had bought the car from a seller for $8,500

and had marked up the price by 20 percent to the price that José sold it. How much did José earn for the sale?

2 answers:

marshall27 [118]2 years ago

6 0

Jose made $816 selling the car.

Ivahew [28]2 years ago

5 0

Answer:

<em>$816</em>

Step-by-step explanation:

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Ralph is painting the barn below, including the sides and roof. He wants to know how much paint to purchase.

____ [38]

Answer:

a) 2899.33

b) 51

c) 1222

d) 14700

Step-by-step explanation:

a) Find out the area of all sides one by one and add it at the end

<u>Area of triangle at front + Area of triangle at the back</u>

Area of triangle = 1/2 x base x height + 1/2 x base x height

Area = 1/2 x 20 x 4 + 1/2 x 20 x 4

Area = 40 + 40

Area = 80

<u>Area of rectangle at front + Area of rectangle at back</u>

Area of rectangle = length x breadth + length x breadth

Area = 20 x 15 + 20 x 15

Area = 300 + 300

Area = 600

<u>Area of rectangle on both sides</u>

Area of rectangle = length x breadth x 2

Area = 45 x 15 x 2 = 1350

<u>Area of rectangle at the bottom</u>

Area of rectangle = length x breadth

Area = 45 x 20 = 900

<u>Area of rectangle at both sides of the roof</u>

Find the side length of the roof through the triangle

c² = a² + b²

c² = 4² + 10²

c = √116

c = 2√29

Area of rectangle = length x breadth x 2

Area = 45 x 2√29 x 2

Area = 969.33

<u>Add all areas</u>

Total surface area = 80 + 600 + 350 + 900 + 969.33

Total surface area = 2899.33

b)

1 paint can cover 57 square feet

x paints can cover 2899.33 square feet

1 : 57

x : 2899.33

Cross multiply

57x = 2899.33

x = 50.86 rounded off to 51

Therefore, 51 paint cans should be purchased to paint.

c)

1 paint costs $23.50

52 paints cost $x

1 : 23.5

52 : x

Cross multiply

x = 52 x 23.5

x = $1222

Therefore, the paint will cost $1222.

d)

Volume of cuboid = length x width x height

Volume = 20 x 45 x 15

Volume = 13500

Volume of pyramid = 1/3 x Base Area x Height

Volume = 1/3 x (20 x 45) x 4

Volume = 1200

Total Volume = 1200 + 13500

Total Volume = 14700

!!

3 1

3 years ago

If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21

Ilya [14]

This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

$\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}$

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}$

and now let's use those 2 found folks, to get the 21st term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104$

3 0

2 years ago

Write 750 g as a fraction of 5 kg. Give your answer in its<br> simplest form.

Valentin [98]

Answer:

3/20 is the answer.......

8 0

2 years ago

Item 8 Solve for x. Use the quadratic formula. 2x2−5x−9=0 Enter the solutions, in simplified radical form, in the boxes.

Lubov Fominskaja [6]

Answer:

5+√97/4

Also 5-√97/4

Step-by-step explanation:

The Quadratic formula is x=-b+-√b^2-4ac/2a

This means that we should plug the values for A B AND C into the formula

We can work out that

<u><em>A = 2</em></u>

<u><em>B=-5</em></u>

<u><em>C=-9</em></u>

Once we have put these into the formula we get

5+√97/4 (all over 4) aka 3.71

Also 5-√97/4 (all over 4) aka -1.21

7 0

2 years ago

Read 2 more answers

What is the unit rate for $80 for 16 tickets

suter [353]

5 dollars a ticket. Divide 80/16 to get tour answer.

7 0

3 years ago