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ale4655 [162]
3 years ago
8

I understand but I got confused solving all three of these help.

Mathematics
2 answers:
Galina-37 [17]3 years ago
8 0
I need help. I need help.
Olin [163]3 years ago
7 0
Let’s start with number 1.

First, we should take 20% off of the original price of the sweater. To do this, we first find 20% of 55 by doing 0.2*55

I got 11, so that is the discount on the sweater.

Next, we have to take off that discount from the sweater, so we do 55-11.

I got 44, so that is the price of the sweater with the discount.

Now I have to add the sales tax. The sales tax is 5.5%, so I have to find 5.5% of 44.

To do this I will do 0.055*44

I got 2.42

Now, I must add that to the 44

So, 44+2.42

I got 46.42 dollars as my answer for number two (the first question on your paper)


Now, numbers one and two at the bottom are dealing with simple interest. We need to use the equation I=prt.

Let’s start with number one. Let’s fill in what we know, and solve for what we don’t.

Interest= Not known yet

Principle= 700

Rate= 1.8% or 0.018

Time= 6

Okay, let’s make an equation to solve for what we don’t know.

I= 700 * 0.018 * 6

Solve by multiplying.

I got 75.60dollars as the answer

Now, the last problem. Same method as before.

Interest= 126

Principle= Not known yet

Rate= 1.2% or 0.012

Time= 7

Let’s set up the equation

126= p*0.012*7

Multiply 0.012 and 7, then divide 126 by that answer.

I got 1,500 dollars as the principle amount (her deposit)

Overall, here are the answers in order of the questions

46.42 dollars

75.60dollars

1,500 dollars as the principle amount (her deposit)



Hope this helped! Comment if you have any questions or concerns! :)
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ella [17]

33cm

Because add all of them then subtract then do the parenthasees and you get 33

3 0
3 years ago
standard automobile license plates in a country display 3 numbers, followed by 2 letters, followed by 2 numbers. how many differ
RoseWind [281]

The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

<h3>Define the term permutation?</h3>
  • The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
  • The arrangement's order is essential when using permutations.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

To know more about the permutation, here

brainly.com/question/1216161

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5 0
11 months ago
Q2) The following travel times were measured for vehicles traversing a 2,000 ft. segment of an arterial: Vehicle Travel Time (s)
adelina 88 [10]

Answer:

TMS = 45.78 m/s

SMS = 45.66 m/s

Step-by-step explanation:

Vehicle Travel Time (s)

1 40.5

2 44.2

3 41.7

4 47.3

5 46.5

6 41.9

7 43.0

8 47.0

9 42.6

10 43.3

Time mean speed and space mean speed are parameters used to express the speed of a group of vehicles in traffic flow.

Time mean speed is given as the average speed of all the cars

The speed for each vehicle is calculated by dividing the (2000 ft) distance by the time taken by each vehicle to complete that segment of the journey.

Let vehicle = V

Travel time = time

Speed = s

V | Time | speed (ft/s)

1 | 40.5 | 49.383

2 | 44.2 | 45.249

3 | 41.7 | 47.962

4 | 47.3 | 42.283

5 | 46.5 | 43.011

6 | 41.9 | 47.733

7 | 43.0 | 46.512

8 | 47.0 | 42.553

9 | 42.6 | 46.948

10| 43.3 | 46.189

TMS = (Σsᵢ)/N

Σsᵢ = (49.383+45.249+47.962+42.283+43.011+47.733+46.512+42.553+46.948+46.189)

Σsᵢ = 457.823

N = number of vehicles = 10

TMS = 457.823 ÷ 10 = 45.7823 = 45.782 m/s

b) Space mean speed is given as

SMS = N ÷ [Σ (1/sᵢ)]

V | Time | speed | (1/sᵢ)

1 | 40.5 | 49.383 | 0.02025

2 | 44.2 | 45.249 | 0.02210

3 | 41.7 | 47.962 | 0.02085

4 | 47.3 | 42.283 | 0.02365

5 | 46.5 | 43.011 | 0.02325

6 | 41.9 | 47.733 | 0.02095

7 | 43.0 | 46.512 | 0.02150

8 | 47.0 | 42.553 | 0.02350

9 | 42.6 | 46.948 | 0.02130

10| 43.3 | 46.189 | 0.02165

Σ (1/sᵢ) = (0.02025+0.02210+0.02085+0.02365+0.02325+0.02095+0.02150+0.02350+0.02130+0.02165)

Σ (1/sᵢ) = 0.219

SMS = 10 ÷ [Σ (1/sᵢ)] = 10 ÷ 0.219

SMS = 45.662 m/s

Hope this Helps!!!

4 0
3 years ago
What is the equation of the line that passes through the point (-3,2) and has a slope of -2/3
Nookie1986 [14]

Answer:

Y=-2/3x+0

This is the answer I found

8 0
3 years ago
Rewrite the function by completing the square. h(x)= x^{2} +3 x -18 left parenthesis, x, right parenthesis, equals, x, squared,
ludmilkaskok [199]

Answer:

  h(x) = (x +1.5)^2 -20.25

Step-by-step explanation:

We assume you want to rearrange h(x)= x^2 +3x -18.

Recognize the coefficient of x is 3. Add and subtract the square of half that. (3/2)^2 = 9/4 = 2.25

  h(x) = (x^2 +3x +2.25) -18 -2.25

Now, write the expression in parentheses as a square, simplify the constant.

  h(x) = (x +1.5)^2 -20.25 . . . . . . . . vertex form

4 0
2 years ago
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