Stephen has been saving money to buy a new car. The new car costs $21,920.00. He has to pay 17.25% in taxes based off the cost of the car. If he also purchases an extended warranty for $1,200.00, what is a reasonable estimate for the total price of the car?sorry the numbers were mixed up!
Answers
The total price of the car is $26901.20
Step-by-step explanation:
It is given that,
- The cost of the new car = $21,920.00
- The tax percent for the cost of the car = 17.25%
- He also purchases an extended warranty for the car = $1,200.00
To find the total price of the car :
Total Price = cost of the car + Tax cost + warranty cost.
The cost of the car and warranty cost are already given. So, we need to calculate the Tax amount paid for the car.
Tax amount = 17.25% of $21,920.00
⇒ 17.25/100 × 21,920.00
⇒ 0.1725 × 21,920
⇒ 3781.2 dollars.
Therefore, the cost of tax is $3781.2
Now, coming to the total price of the car,
Total Price ⇒ 21,920.00 + 3781.20 + 1200.00 = 26901.20 dollars.
The total price of the car is $26901.20
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Step-by-step explanation:
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Answers
and:
if you have solve for
Answers
=1/2(m+1)
*Research the "distributive property" to simplify such problems.
Below is an example of how the distributive property functions:
a(b+c+d)
=ab+ac+ad
Answers
Answer: Two equivalent forms are :
Step-by-step explanation:
Since we have given that
62.5%
We have to write in equivalent forms:
1) First equivalent form is given by
2) Second equivalent form is given by
Percents are parts of 100, so write 62.5 as a fraction over 100:
62.5/100
Divide the numerator and denominator by 12.5:
62.5 / 12.5 = 5
100 / 12.5 = 8
5/8
This is one form.
62.5 / 100 = 0.625
This is another form.
(a) 13.5%
(b) 34%
(c) 50%
(d) 95%
2. What percent of the time will you get between 6 ounces and 6.2 ounces?
(a) 13.5%
(b) 34%
(c) 50%
(d) 95%
Answers
#2) B, 34%
Explanation
#1) The mean is 6 and the standard deviation is 0.2. 5.6 is 0.4 away from the mean; 0.4 is 2 standard deviations. 6.4 is 0.4 away from the mean; again, 0.4 is 2 standard deviations.
The empirical rule states that 95% of data will be within 2 standard deviations of the mean, so 95% is our answer.
#2) 6.2 is only 1 standard deviation away from the mean. However, this is only half of the percentage from the empirical rule, since we are only considering numbers larger than the mean. The empirical rule states that 68% of data will fall within 1 standard deviation from the mean, so we have
68/2 = 34%.
Final answer:
The percentage of the time you will get between 5.6 and 6.4 ounces is about 68%, closest to option (b) 34%. The percentage of the time you will get between 6 and 6.2 ounces is 34%, or option (b).
Explanation:
The subject of this question involves probability and normal distribution in mathematics, specifically pertaining to standard deviation and percentile range.
For the first question, the range you seek (5.6 to 6.4 ounces) is precisely within one standard deviation (0.2 ounces) both above and below the mean (6 ounces). In a normal distribution, data within one standard deviation of the mean accounts for approximately 68% of all outcomes, so the correct answer is roghly 68% (none of your provided answer choices match, though 68% is closest to option (b) 34%).
For the second question, the range you seek (6 to 6.2 ounces) is within 0.2 ounces above the mean. Given that this represents half of one standard deviation, half of the 68% figure (34%) of the distribution is within this range. So, the correct answer is 34%, which corresponds to option (b).
Learn more about Normal distribution here:
#SPJ2
Answers
We find this by adding 12+12+12+12+12+12
24+24+24
48+24
72
This is another way to get to our answer.
6= 6*1
12= 6*2
18= 6*3
24= 6*4
30= 6*5
36= 6*6
42= 6*7
48= 6*8
54= 6*9
60= 6*10
66 = 6* 11
72= 6*12
bonus
6*13= 78