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Vladimir79 [104]
2 years ago
10

Four items are purchased at prices of $5.30, $1.29, $.53, and $.68. Sales tax applies at 5% of the total purchase price. What is

the total charge?
Mathematics
2 answers:
ch4aika [34]2 years ago
7 0
<h3>Answer:  $8.19</h3>

Explanation:

Add up the prices

5.30 + 1.29 + 0.53 + 0.68 = 7.80

This is the total amount before tax is added. To find the amount after tax, we multiply by 1.05 to get

1.05*7.80 = 8.19

Or a longer way is to find 5% of 7.80 getting 0.05*7.80 = 0.39 in the amount of tax owed, which is added on top of the previous total we got earlier. So we have 7.80 + 0.39 = 8.19

The use of the multiplier 1.05 is handy when you need to apply multiple percentage increases (it also works if you have multiple discounts as well).

kobusy [5.1K]2 years ago
6 0

Answer:

$8.19

Step-by-step explanation:

1. Add the cost of the items together

5.3 + 1.29 + 0.53 + 0.68 = 7.8

2. Solve for 5% of the cost of the items

5% = 0.05

7.8 · 0.05 = 0.39

3. Add the sales tax to the price of the items

7.8 + 0.39 = 8.19

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Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?
Alex

Answer:

\frac{\pi }{2}

Step-by-step explanation:

Since the arc is \frac{1}{4} of the circumference, then

central angle = \frac{1}{4} × 2π ← angle in whole circle

central angle = \frac{2\pi }{4} = \frac{\pi }{2}

8 0
2 years ago
2 Points
hichkok12 [17]

Answer: 345.02

Step-by-step explanation:

8 0
2 years ago
To make f continuous at x=2 , f(2) should be defined as what value? Justify your answer.
yawa3891 [41]

Answer:

To make f continuous at x=2, f(2) should be defined x = 2.

Step-by-step explanation:

A function, let say f(x), is defined at x = c is continuous at x = c

If the limit of f(x) as x approaches c is equal to the value of f(x) at  x = c.

Mathematically it is written as:

if

\lim _{x\to c}\:f\left(x\right)=f\left(c\right)

then

f(x) is continuous at  x = c.

So from the above definition, we conclude that:

To make f continuous at x=2, f(2) should be defined x = 2.

i.e.

if

\lim _{x\to 2}\:f\left(x\right)=f\left(2\right)

then

f(x) is continuous at  x = 2.

8 0
2 years ago
Helen gathered 37 mushrooms in three hours. How many mushrooms did she gather every hour, if she gathered 7 more mushrooms in th
mihalych1998 [28]

Answer:

On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.

Step-by-step explanation:

Helen gathred a total of 37 mushroons in three hours. On the first hour she gathered "x" mushroons, on the second hour she gathered "x + 7" mushroons and on the third hour she gathered "x + 6". Therefore the sum of mushrrons she gathered on each hour should be equal to the total she gathered as shown below:

37 = x + (x+ 7) + (x + 6)

37 = 3*x + 13

3*x + 13 = 37

3*x = 37 - 13

3*x = 24

x = 24 / 3

x = 8

On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.

8 0
2 years ago
Find the value of 3 + 5 × (2 − 1).
Alenkasestr [34]
Step 1 (simplify): 
3+5x(2-1)
8 x 1 

Step 2 (solve):
8 x 1 = 8

8 is your answer. Hope this helps :)
8 0
2 years ago
Read 2 more answers
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