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anygoal [31]
3 years ago
14

A. 12 b. 14 c. 8 d. 6

Mathematics
1 answer:
jolli1 [7]3 years ago
5 0

Answer:

  d.  6

Step-by-step explanation:

The product of lengths to the near and far intersection points is the same for both secants:

  PB×PA = PD×PC

We can use this relation to solve for x, then use the value of x to find PD.

  7×12 = (3x)(7x)

  4 = x² . . . . . . . . . divide by 21

  2 = x . . . . . . . . . . take the square root

__

  PD = 3x = 3·2

  PD = 6

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3 0
3 years ago
Case Study 2: Maxing out Matched Savings
zhuklara [117]

Answer:

The computation of the given question is shown below:-

Total Contributions = Monthly contribution + Amount invested in Ferdinand’s 401(k)

= $250 + $125

= $375  

1. Future Value = PMT [((1 + r)n - 1) ÷ r

Future value = 375 × ((1 + 0.03 ÷ 12) × 12 × 40 - 1) ÷ (0.03 ÷ 12)

= $347,272

2. Ferdinand deposit = Given Amount × Total number of months in a year × Number of years

= $250 × 12 Months × 40 Years

= $120,000

3. The Amount put in by the employer = 50% of $250 ×Total number of months in a year × Number of years

= $125 × 12 Months × 40 Years

= $60,000

4. Interest = Future value - Ferdinand deposit - The Amount put in by the employer

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= $167,272

Step-by-step explanation:

4 0
2 years ago
2) Last Friday Trevon had $29. Over the weekend he received some money
OverLord2011 [107]

Answer:

12 dollars

Step-by-step explanation:

29+12=41 or 12-49=29

5 0
2 years ago
(7,-4);
olga_2 [115]

Literally just plug it in

6(7) + 5(-4) - 42 = 0

42 -20 -42 = 0

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Not a solution.

8 0
2 years ago
1/9(8 1/3(21x-51y)1x-108y+2x^2)
Ann [662]

Answer:

569/ 9  x^2−153xy−12y

Step-by-step explanation:

7 0
3 years ago
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