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Tpy6a
11 days ago
14

an item sells for 30 and is on sale for 15% off and the sales tax is 8.2% what is the final cost to the nearest cent

Mathematics
1 answer:
zzz [12.3K]11 days ago
3 0
The sale price is 0.85r = $30, where r represents the original price. Thus, 0.85r = $30, leading to r = ----------- = $35.29. The tax on the $30 sale price amounts to 0.082($30) = $2.46. Consequently, the total cost, based on the sale price, becomes $30 + $2.46 = $32.46.
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Draw and sketch two non congruent triangles each with side 6cm and an angle measuring 40
lawyer [12517]
Refer to the image below.

6 0
22 days ago
A music buff wants to estimate the percentage of students at a midwestern university who believe that elvis is still alive. how
Leona [12618]
Lacking information on the proportion, we will assume the sample proportion is 0.50

thus,
p = 0.50
The margin of error is set at 10 percentage points. This indicates that the error on either side of the population proportion is 5%, so E = 0.05
z = 1.645 (Z value for a confidence level of 90%)

The calculation for the margin of error when estimating population proportions follows:

E=z* \sqrt{ \frac{p(1-p)}{n} } \\ \\ 
 \frac{E}{z} = \sqrt{ \frac{p(1-p)}{n} } \\ \\ 
( \frac{E}{z} )^{2}= \frac{p(1-p)}{n} \\ \\ 
n= p(1-p)* (\frac{z}{E})^{2} \\ \\ 
n=271

Consequently, 271 students need to be part of the sample.
5 0
1 month ago
Josh needs to cover a rectangular opening of 12 inches × 18 inches with plywood. how much will he need, in square feet, if he wa
tester [12383]

We understand that

1 foot corresponds to 12 inches.


Step 1

Dimensions of the plywood needed are

(12+3+3) x (18+3+3)------> 18 inches x 24 inches.


Step 2

Convert inches into feet:

18 in-------> 18/12=1.5 ft.

24 in------> 24/12=2 ft.


Step 3

To calculate the area of plywood needed:

A=b*h------> 1.5*2------> A=3 ft².


The final result is

3 ft²

5 0
1 month ago
Identify the equation of the circle that has its center at (-27, 120) and passes through the origin.
zzz [12365]

The equation representing the circle centered at (-27, 120) that passes through the origin is:

(x + 27)^2 + (y - 120)^2 = 15129

Solution:

The general equation of a circle is expressed as:

(x-a)^2+(y-b)^2=r^2

Where,

(a, b) denotes the center of the circle

r signifies the radius

Given the center as (-27, 120)

Thus;

a = -27

b = 120

Considering it intersects the origin, meaning (x, y) = (0, 0)

Substituting (a, b) = (-27, 120) and (x, y) = (0, 0) into the equation

(0 + 27)^2 + (0 - 120)^2 = r^2\\\\729 + 14400 = r^2\\\\r^2 = 15129

Input r^2 = 15129 and (a, b) = (-27, 120) into the equation

(x + 27)^2 + (y - 120)^2 = 15129

Hence, the equation characterizing the circle is determined

6 0
1 month ago
Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves of her earnings. In the expression ,
Leona [12618]
400 + 0.1s

signifies her total earnings, which consists of the base pay of 400 plus 10% of her sales.
6 0
17 days ago
Read 2 more answers
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