Answer:
Then the solution is (-1/4, 3)
Step-by-step explanation:
Start by eliminating the fractional coefficient 1/4: multiply all 3 terms in the second equation by 4. This results in equation (b), below:
4x - 3y = -10 (a)
4x = y -4 (b)
Substitute y - 4 for 4x in equation (a):
y - 4 - 3y = -10
Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.
Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4
Then the solution is (-1/4, 3)
Answer:
<h3>#1</h3>
- Net worth = $5480.80
- Liabilities = $3260.60
- Assets = $5480.80 + $3260.60 = $8741.40
<u>Assets increase 10%:</u>
<u>Liabilities decrease 10%:</u>
<u>Net worth now is:</u>
- $9615.54 - $2934.54 = $6681.00
Correct choice is J
<h3>#2</h3>
<u>Total budget:</u>
- 250 + 825 + 1247 + 385 + 722 + 657 + 250 + 291 = 4627
<u>Transportation and clothing:</u>
<u>Percentage of transportation and clothing:</u>
Correct choice is C
<h3>#3</h3>
<u>Gross income:</u>
<u>Deductions:</u>
- $19.80 + $1618.30*(0.045 + 0.15) = $335.37
<u>Net pay:</u>
- $1618.30 - $335.37 = $1282.93
The answer is d because all the other options are less than 34
Answer:
x = 174080/y
y = 174080/x
Step-by-step explanation:
Answer:
a) 0.0523 = 5.23%
b) 0.9477 = 94.77%
c) 0.2242 = 22.42%
d) YES
Step-by-step explanation:
This situation could be modeled with a binomial distribution where
The probability of getting exactly k “successes” in n trials is given by
Where p is the probability of “success”.
In this case we can assume that “success” is the fact that the household interviewed is tuned to Found.
So, p=0.19 and n = 14 (the households interviewed).
a)
The probability that none of the households are tuned to Found is P(X=0)
b)
The probability that at least one household is tuned to Found is
1- P(X=0) = 1-0.0523 = 0.9477 = 94.77%
c)
The probability that at most one household is tuned to Found is P(X=0)+P(X=1)
d)
According to this sample, the probability that more than one household is tuned to Found would be 100%-22.42% = 77.58%, so it does appear that the 19% share value is wrong.