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Nimfa-mama [501]
3 years ago
8

A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used

to determine the amount of sales tax due on the entire purchase. Expand the
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0

Answer: \$(23.65+1.343s)

Step-by-step explanation:

Given

Speaker set to cost $22

Each song costs $1.25

Sales tax is 7.5%

Suppose, one purchase s no of songs

The cost of s songs is $1.25s

The combined cost of speakers and song is

C=22+1.25s

At this cost, a 7.5% sales tax is applied to the given cost

\Rightarrow [22+1.25s]\times 0.075

Total cost after sales tax is

\Rightarrow C_t=22+1.25s+[22+1.25s]0.075\\\\\Rightarrow C_t=[22+1.25s](1+0.075)=[22+1.25s]\times 1.075\\\\\Rightarrow C_t=\$(23.65+1.343s)

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Si se multiplica un numero por uno,¿que numero se obtiene?
Lina20 [59]

Answer:

Si se multiplica un numero por uno, obtendras el numero original, por ejemplo 54x1 = 54, y 2x1= 2.

Step-by-step explanation:

5 0
2 years ago
Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5
Gnoma [55]

The required simplified value of B - A = -6.

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Since, line Ax + By = 3 and x + 3y = -5 are parallel than slope of both the line will be same,
m = -1/3 = -A/B
From above
A = B/3  - - - - -(1)


Now line Ax + By = 3 passed through the point (-7, 2). So,
-7A + 2B = 3
from equation 1
-7B/3 + 2B = 3
-B/3 = 3
B = -9
Now put B in equation 1
A = -9 / 3
A = -3

Here,
B - A = -9 + 3 = -6

Thus, the required simplified value of B - A = -6.

Learn more about simplification here: brainly.com/question/12501526

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7 0
2 years ago
A countries population in 1991 was 231 million in 1999 it was 233
AleksandrR [38]
The answer is:A = 231e^(.0010776*12) = 234 million in 2003 
k=(In(233/231))/(8) 
<span>k=1.00865/8 <===== you used the ratio of 233/321, not the natural log of the ratio. </span>

<span>233/231 = 1.00865 </span>
<span>ln(233/231) = ln(1.00865) = 0.0086207 </span>
<span>k = 0.0086207/8 = 0.0010776 </span>


3 0
4 years ago
Question : Find the length of the missing side. round your answer to the nearest tenth.
zhuklara [117]

Answer:

8.5

Step-by-step explanation:

3 0
3 years ago
Based on the diagram below, what is the measure of arc DC ?
emmainna [20.7K]

Given:

A diagram of a circle O, arc(AB)=y^\circ, arc(CD)=(80+y)^\circ.

To find:

The measure of arc DC.

Solution:

According to the angle of intersecting chords theorem:

Angle at intersection of chords = Half of the sum of intercepted arcs.

Let \theta be the angle between the intersection of chords AC and BD.

\theta +112^\circ=180^\circ      (Linear pair)

\theta =180^\circ-112^\circ

\theta =68^\circ

Using the angle of intersecting chords theorem, we get

\theta=\dfrac{arc(AB)+arc(CD)}{2}

68^\circ =\dfrac{y^\circ+(80+y)^\circ}{2}

136^\circ =(80+2y)^\circ

On simplification, we get

136=80+2y

136-80=2y

56=2y

Divide both sides by 2.

28=y

Now,

arc(DC)=(80+y)^\circ

arc(DC)=(80+28)^\circ

arc(DC)=108^\circ

Therefore, the correct option is C.

5 0
3 years ago
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