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Mariana [72]
3 years ago
5

a bicycle has a listed price of $821.95 before tax. if the sales tax rate is 6.5%, find the total cost of the bicycle with sales

tax included. Round tour answer to the nearest cent as necessary.​
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

$875.39

Step-by-step explanation:

1) Divide the tax rate (6.500%) by 100 to get a decimal rate of 0.06500.

2) Multiply the purchase price ($821.95) by the 0.06500 to get a sales tax amount of $53.43.

3) Add the $53.43 sales tax to the $821.95 price to get a total of $875.38.

4) Round $875.38

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Sandra throws an object straight up into the air with initial velocity of 38 ft per square from platform that is 30 ft above the
expeople1 [14]

Answer:

3 seconds.

Step-by-step explanation:

We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.

To find the time it will take for object to hit the ground, we will use formula:  

h(t)=-16t^2+v_0t+h_0, where, v_0 represents initial velocity and h_0 represents initial height.

Upon substituting our given initial velocity and initial height, we will get:

h(t)=-16t^2+38t+30

We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:

-16t^2+38t+30=0

Divide by 2:

-8t^2+19t+15=0

Upon using quadratic formula, we will get:

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-19\pm\sqrt{19^2-4(-8)(15)}}{2(-8)}

t=\frac{-19\pm\sqrt{361+480}}{-16}=\frac{-19\pm\sqrt{841}}{-16}

t=\frac{-19\pm29}{-16}

t=\frac{-19-29}{-16},t=\frac{-19+29}{-16}

t=\frac{-48}{-16},t=\frac{10}{-16}

t=3,t=-\frac{5}{8}

Since time cannot be negative, therefore, it will take 3 seconds for object to hit the ground.

7 0
3 years ago
Hello please help me! There are 3 questions, I will give brainliest!
Shalnov [3]

Answer:

1) There are 13 students in Jerry's study.

2) There are 39 students in Kathy's study.

3) Jerry's study is more trustworthy!

Step-by-step explanation:

1) Jerry's study is the one with the dot plot.

Now, the number of students is calculated by adding the total number of dots in the plot.

We have a total of 13 dots.

Thus, there are 13 students in Jerry's study.

2) Kathy's study is the one with the histogram.

The total number of students is gotten by adding the corresponding number of students on the y-axis for each range of distance on the x-axis.

Total number of students = 9 + 11 + 7 + 12 = 39 students

3) Jerry's study where he used a dot plot is likely to be more trustworthy because it gives exact values of the number of students for each distance represented whereas, Kathy's study where she used a histogram doesn't give exact values but just gives a range of distances for a particular number of people.

4 0
3 years ago
james and bethany morrison are celebrating their 10th anniversary by having a reception at a local reception hall. they have bud
saveliy_v [14]

Answer:

They can invite 136 while staying in budget

Step-by-step explanation:

Firstly, you know they will have to pay an $80 cleaning fee, therefore, you can subtract 80 from 5,000:

5,000-80 = 4,920

After doing this, you can take 4,920 and divide it by 36 (the price per person).

4,920/36 = 136.67

Because you can not have .67 of a person, your closest number you can use is 136.

leaving them with $24

5 0
3 years ago
Please see below!! Thank you so much in advance :)
stellarik [79]

Answer:

a) x = -1.9, 1.05

b) x = -3, 0, 2

Explanation:

I hope it's correct

7 0
2 years ago
The distance between the points (-3,0) and (4,0) is
hram777 [196]

Answer:

\sqrt{7}

Step-by-step explanation:

\sqrt{(4 -  ( - 3) + (0 - 0)}

\sqrt{(4 + 3) + 0}

\sqrt{7 + 0}

\sqrt{7}

5 0
2 years ago
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