Answer:
a and b and are he corrct answers
Step-by-step explanation:
Answer: 19
Step-by-step explanation:
Using the sum of an arithmetic series formula,
![\sum^{30}_{n=2} (an+b)=2407 \implies 29(16a+b)=2407 \implies 16a+b=83\\\\\sum^{40}_{n=1} (an+b)=4220 \implies 20(41a+2b)=4220 \implies 41a+2b=211](https://tex.z-dn.net/?f=%5Csum%5E%7B30%7D_%7Bn%3D2%7D%20%28an%2Bb%29%3D2407%20%5Cimplies%2029%2816a%2Bb%29%3D2407%20%5Cimplies%2016a%2Bb%3D83%5C%5C%5C%5C%5Csum%5E%7B40%7D_%7Bn%3D1%7D%20%28an%2Bb%29%3D4220%20%5Cimplies%2020%2841a%2B2b%29%3D4220%20%5Cimplies%2041a%2B2b%3D211)
Multiplying the second equation by 2 gives us
.
Subtracting this from the second equation, we get that
.
Substituting this back into the first equation, we get that
.
Therefore, ![2a+3b=2(5)+3(3)=19](https://tex.z-dn.net/?f=2a%2B3b%3D2%285%29%2B3%283%29%3D19)
<h2>○=> <u>Correct option</u> :</h2>
![\color{plum} \bold{ \tt \: \bold{C. \$20,652.00}}](https://tex.z-dn.net/?f=%20%5Ccolor%7Bplum%7D%20%5Cbold%7B%20%5Ctt%20%5C%3A%20%20%5Cbold%7BC.%20%20%5C%2420%2C652.00%7D%7D)
<h3>○=> <u>Steps to derive correct option</u> :</h3>
Selling price of a car = $19,000
Percentage of sales tax in the city = 8.3%
Sales tax :
![= \tt \frac{8.3}{10 \times 100} \times 1900](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20%20%5Cfrac%7B8.3%7D%7B10%20%5Ctimes%20100%7D%20%20%5Ctimes%201900)
![= \tt \frac{8.3 \times 19000}{1000}](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20%20%5Cfrac%7B8.3%20%5Ctimes%2019000%7D%7B1000%7D%20)
![= \tt \frac{1577000}{1000}](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20%20%5Cfrac%7B1577000%7D%7B1000%7D%20)
![\color{plum} = \tt \$1577](https://tex.z-dn.net/?f=%20%5Ccolor%7Bplum%7D%20%3D%20%5Ctt%20%20%5C%241577)
Thus, the sales tax on the car = $1577
Cost of license and title = $75
Total price of car :
= Cost price of car + Sales tax + cost of license/title
![= \tt19000 + 1577 + 75](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt19000%20%2B%201577%20%2B%2075)
![\color{plum} = \tt \$20652](https://tex.z-dn.net/?f=%20%5Ccolor%7Bplum%7D%20%3D%20%5Ctt%20%20%5C%2420652)
Thus, the total purchase price of the car = $20,652.00
Therefore, the correct option is <em>(C) $20,652.00</em>
I think the rate is 6.666666667 which is 6.66
1. Subtract x+7. x = 2
2. Subtract x+7. x = 8
3. Subtract x+3. x = 4
4. Subtract x+1, divide by 2. x = 9
5. Subtract x+1. x = 8
6. Subtract 2x+2. x = 3
7. Subtract x+3, divide by 3. x = 6