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MrRa [10]
3 years ago
5

Match each point with one of the following rational number:

Mathematics
2 answers:
castortr0y [4]3 years ago
8 0
A = -0.7
B = -9/16 (0.5623)
C = -0.4
D = -5/16 (0.3125)

The last option is correct 
Alinara [238K]3 years ago
7 0

Answer:

Option D) is the correct option.

Step-by-step explanation:

We are given the following information in the question:

A number line is shown in the figure. When observed we can make the following observations:

  1. A, B, C and D lies between -1 and 0.
  2. Point A and B lies between -1 and 0.5
  3. Point C and D lies between -0.5 and 0
  4. Hence, A and B must have a negative value lying between -1 and 0.5
  5. Hence, C and D must have a negative value lying between -0.5 and 0.

A) Incorrect representation.

C cannot have a value smaller than -0.5

B) Incorrect representation.

D is positive but should have a negative value.

C) Incorrect representation.

A is positive but should have a negative value value.

D) Correct representation.

A = -0.7, B = -\displaystyle\frac{9}{16} = -0.5625, C = -0.4, D = -\frac{5}{16} = -0.3125

Option D) is the correct option.

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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

= $347,272 - $120,000 - $60,000

= $167,272

Step-by-step explanation:

4 0
2 years ago
6/100 equals what as a decimal?
Dahasolnce [82]

Answer:

0.06  

Step-by-step explanation:

hope this helps

6 divide by 100= 0.06

3 0
3 years ago
Read 2 more answers
Can somebody solve this system equation using addition please?
givi [52]

-4x - 5y = 7

3x + 5y = -14

You can add these two equations together straightaway since the y-terms have opposite coefficients.

-4x - 5y = 7

3x + 5y = -14

+___________

-x - 0 = -7

-x = -7

x = 7

Substitute 7 for x into either of the original equations and solve algebraically to find y.

3x + 5y = -14

3(7) + 5y = -14

21 + 5y = -14

21 = -14 - 5y

35 = -5y

-7 = y

Finally, check work by substituting both x- and y-values into both original equations.

-4x - 5y = 7

-4(7) - 5(-7) = 7

-28 + 35 = 7

7 = 7

3x + 5y = -14

3(7) + 5(-7) = -14

21 - 35 = -14

-14 = -14

Answer:

x = 7 and y = -7; (7, -7).

7 0
3 years ago
On Monday, a company stock closed at a price of $30.80 per share. On Tuesday, it increased by $1.20 per share. On Wednesday, it
anygoal [31]
If I did this correctly, the answer should be 2.72. Monday's stock price is given to you already, 30.80. To find Tuesday's, you'd add 1.20 to the already existing 30.80, that totals to 32. To find the number for Wednesday you would have to get the percentage and move the decimal so you can multiply it, it should end at .0625. You then get that number and multiply it by 32 because it was Tuesday's amount. From that you should get 2. You then subtract the 2 and the total for Wednesday is 30. You do the same for Thursday, you get the already existing number, 30, and multiply it by .04. That should end in 1.2. You then subtract that 1.2 and you should get 28.8 as your answer for Thursday. For Friday, the steps repeat. You take the 28.8 and multiply it by .025. That should equal to .72. You now subtract that .72 from Thursday's amount and should be left with 28.08 for Friday. Now that all the numbers are known, take the numbers for Monday and for Friday and then subtract them. (30.80-28.08) It should equal to 2.72.
7 0
3 years ago
A box of tangerines that weighs 5 pounds costs $4.25.<br> What is the cost per pound?
denpristay [2]

Answer:

$0.85

Step-by-step explanation:

$4.25 divided by 5 pounds equals $0.85 per pound.

7 0
3 years ago
Read 2 more answers
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