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shusha [124]
3 years ago
10

Please help me 10 points

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

Answer:

  see below

Step-by-step explanation:

The following definitions apply:

  if p, then q . . . . conditional statement

  if q, then p . . . . converse

  if ~p then ~q . . . inverse

  if ~q then ~p . . . contrapositive

You have ...

  p = "it is October 31"

  q = "it is Halloween"

(a) The <em>converse</em> is ...

  If it is Halloween, then it is October 31.

(b) The <em>inverse</em> is ...

  If it is not October 31, then it is not Halloween.

(c) The <em>contrapositive</em> is ...

  if it is not Halloween, then it is not October 31.

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$13,168is invested, part at 13%and the rest at
Kryger [21]

Answer: the amount invested at 13% is $9748

the amount invested at 5% is $3420

Step-by-step explanation:

Let x represent the amount invested at 13%.

Let y represent the amount invested at 5%.

$13,168 is invested, part at 13 % and the rest at 5%. This means that

x + y = 13168

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested at 13%,

P = x

R = 13%

T =1 year

I = (x × 13 × 1)/100 = 0.13x

Considering the amount invested at 5%,

P = y

R = 5%

T = 1 year

I = (x × 5 × 1)/100 = 0.05y

If the interest earned from the amount invested at

13% exceeds the interest earned from the amount invested at

5% by $1438.24, it means that

0.13x - 0.05y = 1438.24 - - -- - - - - -1

Substituting x = 13168 - y into equation 1, it becomes

0.13(13168 - y) - 0.05y = 1438.24

1711.84 - 0.13y - 0.05y = 1438.24

- 0.13y - 0.05y = 1438.24 - 1711.84

- 0.08y = - 273.6

y = - 273.6/- 0.08

y = 3420

x = 13168 - y = 13168 - 3420

x = 9748

7 0
3 years ago
A survey of 100,000 adults found that 5% of Americans walk to work. Which of the following could be used to simulate the results
aalyn [17]

Answer:

A I think im fairly certain

Step-by-step explanation:

3 0
3 years ago
A soccer team wins 65% of its matches, and 15% of its matches end in a draw. If the team is scheduled to play 20 matches, about
Finger [1]
The team plays 20 matches. 

65% of the matches, the teams wins
= 20 * 0.65
= 13 matches

15% of the matches, the games ends in draw.
= 20 * 0.15
= 3 matches

The team is expected to lose in 
= 20 - 13 - 3
= 4 matches
3 0
3 years ago
Write an eqaution in slope-intercwpt form for the line with slope -5 and y-intercept 9
DerKrebs [107]

Answer:

y = -5x + 9

Step-by-step explanation:

Slope-intercept form of an equation is:

y = mx + b

Since they gave you the slope and y-intercept, it is kind of a fill-in-the-blank problem. Nothing to calculate!

Fill in the slope for the m. Fill in the y-intercept for the b.

y = -5x + 9

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2 years ago
Every US. Citizen has a 9 digit social security number. The first 3 digits are a geographic code, the next two digits are determ
Ilia_Sergeevich [38]

Probability of success =

         (number of possibilities that would be considered successful)
divided by
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Total number of different possible outcomes =

       total number of different possible values of the last 2 digits

   =  the quantity of numbers from  00  to  99

   =    100 of them .

The number of possibilities that will match your age  =  only 1 .

Probability that the last 2 digits match your age = 1/100  =  0.01  =  1 % .
6 0
3 years ago
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