Consider the the first six terms in the sequence 10, 29, 48, 67, 86, 105. Which statements are correct? A) The 10th term in this sequence is 199. B) The 15th term in this sequence is 276. C) The 20th term in this sequence is 389. D) The recursive formula is an - 2ₙ₋₁ + 19. E) The explicit formula is a, = 19n - 9.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

This is an arithmetic sequence when each term is 19 higher than the previous. You can use the formula 19(n-1)+10 when n is the desired term you wish to find. So options A and C are wrong because when plugged into the formula we get another solution. D is wrong because it provides us with an incorrect formula for both the recursive and explicit versions.

The correct answer is B, when the 15th term is 276.

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55% of what number is 231

Answers

231=100%
2) x=55% that it

55% = 55/100
let 'what number' be x

55% of what number = (55/100) * X which is 231 or

(55/100) * X = 231
x = 231 *(100/55)

One gallon of fuel mixture contains antifreeze in the ratio of 5 parts fuel to one part antifreeze. To this is added half a gallon of mixture which is one third antifreeze and two thirds fuel. What is the ratio of fuel to antifreeze in the final mixture?

Answers

1 gal (initial) = (5/6) parts fuel & (1/6) parts antifreeze= total of 6 parts
0.5 gal (add'l) = (2/3) parts fuel & (1/3) parts antifreeze = total of 3 parts

adding the two
Fuel: 1gal*(5/6 parts) + 0.5gal*(2/3 parts) = 7/6 parts in 1.5 total gallons
Antifreeze: 1gal*(1/6 parts) + 0.5gal*(1/3 parts) = 2/6 parts in 1.5 total gallons

thus with a common denominator provides a ratio of 7:2 (fuel:antifreeze)

Chelsea made monthly payments for four years before her $13,440 loan was paid off. The loan had an interest rate of 5.86%, compounded monthly. Chelsea paid $156.60 in service charges. To the nearest tenth, what percentage of the total cost of the loan did her finance charges comprise? Round all dollar values to the nearest cent.

Answers

Given:
PV = 13,440
i = 5.86% , compounded monthly
t = 4 years

13,440(0.0586/12))/(1-(1+0.0586/12)^-48= 15,109.44
15,109.44 + 156.60 = 15,266.04
15,266.04 - 13,440.00 = 1,826.04
1,826.04/15,266.04 = 11.96 % Percentage total of Finance Charge of the total loa

Answer: 11.9%

Step-by-step explanation:

Please help! (picture included)