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2 years ago

13

Gabriel went shopping for a new camera. The listed price of the camera was $37, but the price with tax came to $40.33. Find the

percent sales tax.

1 answer:

torisob [31]2 years ago

7 0

3.33%

Step-by-step explanation:

40.33-37=3.33

3.33/100=0.0333

0.0333 as a percent is 3.33

You might be interested in

What will be angle COD If: angle COD minus angle KOD equals 61degrees and angle COD minus angle KOC equals 53degrees?

kenny6666 [7]

Use algebra for such problems
let, Angle COD = x
Angle KOD = y
Angle KPC = z
Given ,. x - y = 61° ( Equation 1 )
x - z = 53° ( Equation 2 )
Subtract 1st equation from 2nd and you'll get :

z - y = 8° ( Equation 3 )
Now since , x + y + z = 180° ( Equation 4 )
Add Equation 3 to Equation 4 and you'll get
x + 2z = 188° ( Equation 5)
From Equation 2 we know that , x -z = 53°
or, x = 53° + z ( Equation 6 )
Put this value of 'x' in Equation 5 and solve for z. you'll get :
(53° + z) + 2z = 188°
or
3z = 188 - 53 = 135°
solving for z we get
z = 45°
put this value of z in Equation 5
x + ( 2 x 45° ) = 188°
or
x = 188° - 90° = 98°
hence , Angle COD = 98°

5 0

3 years ago

A. Describe the connection of the pattern of outcomes to Pascal’s triangle.

pychu [463]

Answer:

The answer to the question is;

A. The pattern of outcomes of 0 heads, 1 head, 2 heads ... n heads when arranged in the Pascal's triangle is given by the row of the triangles with the lowest at the edges and highest outcome in the middle potion of the rows in the Pascal's triangle.

B. The number of total possible outcomes in a row n is 2ⁿ.

Step-by-step explanation:

To solve the question, we note that.

Pascal's triangle is an important sequence of numbers formed by starting with 1 at the top of the triangle followed by 1s on the outer edges of the triangle and the numbers directly below two adjacent numbers is the sum of the two adjacent numbers.

In probability theory, such as in throwing a coin, Pascal's triangle indicates the number of possible heads obtained when n number of coins is thrown, that is, 0 heads, 1 head 2 heads etc. as follows

Number of coins Possible head outcome Total outcome

0 coin 1 1

1 coin 1 1 2

2 coins 1 2 1 4

3 coins 1 3 3 1 8

4 coins 1 4 6 4 1 16

The above triangle means that when

0 coin is flipped, the number of 0 heads is 1

1 coin is flipped, the number of 0 heads is 1 (T) and 1 head is 1 (H)

2 coins are flipped, the number of 0 heads is 1, (TT), 1 head is 2 (TH), (HT) and 2 heads is 1 (HH)

3 coins are flipped 0 heads = 1 (TTT), 1 head = 3, (TTH), (THT), (HTT), the number of 2 heads = 3, (HHT), (HTH), (TTH) and the number of 3 heads = 1, (HHH).

B. The pattern in the number of total possible outcomes is

1, 2, 4, 8, 16 which is =2 raised to the power of the number of coin tossed for a particular row as follows

Number of coin tossed = 0 = 2⁰ = 1 = Total possible outcome

Number of coin tossed = 1 = 2¹ = 2 = Total possible outcomes

Number of coin tossed = 2 = 2² = 4 = Total possible outcomes

Number of coin tossed = 3 = 2³ = 8 = Total possible outcomes

Number of coin tossed = 4 = 2⁴ = 16 = Total possible outcomes

Therefore total number of possible outcome = 2ⁿ where n = number of coins tossed.

6 0

3 years ago

A farmer sells 7.1 kilograms of pears and apples at the farmer's market. 3 4 of this weight is pears, and the rest is apples. Ho

luda_lava [24]

Answer:

5.325kg

Step-by-step explanation:

The farmer sells 7.1 kilograms of pears and apples at the farmer's market.

$\dfrac{3}{4}$ of his weight is Apples.

Weight of Apples = $\dfrac{3}{4}$ X 7.1 =5.325

Therefore, 5.325kg of the farmer's weight was Apple.

The farmer sold 5.325kg of Apples.

8 0

3 years ago

Write an equation based on these world problemKelsie wants to go play airsoft for $18.99 each hour (let that be h for hours) + $

Strike441 [17]

Solution

Problem 1:

- Kelsie pays a one-time fee for the equipment of $5.00. This is a fixed cost that never changes and is paid just once.

- Kelsie pays $18.99 for each hour (h). This means that

For 1 hour, Kelsie pays $18.99 * 1 = $18.99

For 2 hours, Kelsie pays $18.99 * 2

For 3 hours, Kelsie pays $18.99 * 3

And so on...

- We can generalize this for h hours. That is,

For h hours, Kelsie pays $18.99 * h

- Thus, Kelsie pays $18.99h after h hours separate from the initial fee of $5.00.

- Thus, her total cost would be the addition of the flat fee of $5.00 and the cost of playing for h hours. That is:

$\begin{gathered} Total\text{ Cost}(A)=18.99h+5 \\ where, \\ h=\text{ Number of hours elapsed} \end{gathered}$

Problem 2:

- Jayson pays $35 per hour with no initial flat fee.

- Following the same logic as in the case of Kelsie, we can write the total cost incurred by Jayson after h hours is:

$Total\text{ Cost\lparen P\rparen}=35h$

Final Answer

The answers are:

Problem 1:

$A=18.99h+5$

Problem 2:

$P=35h$

8 0

9 months ago

A hiker walks 9.4 miles at an angle of 60° south of west. Find the west and south components of the walk. Round your answers to

schepotkina [342]

Answer: The west components of the walk = 4.7 miles

The south components of the walk = 8.1 miles (Approx)

Step-by-step explanation:

Since, the A hiker walks 9.4 miles at an angle of 60° south of west.

Thus,by the below diagram,

The west components of the walk = 9.4 × cos 60° = 9.4 × 0.5 = 4.7 miles

And, the south components of the walk = 9.4 × sin 60° = 9.4 × √3/2 = 9.4 × 0.866025404 = 8.1406388 ≈ 8.1 miles

5 0

3 years ago

Read 2 more answers