Answer:
Step-by-step explanation:
Loan APR is 5.535%
Loan information:
Mortgage amount:
$125,000
Term in years:
Interest rate:
5.3%
Monthly payment:$694.13
Answer:
1,539
Step-by-step explanation:
Using Simple Random Sampling in an infinite population (this is such a large population that we do not know the exact number) we have that the sample size should be the nearest integer to
where
<em>Z= the z-score corresponding to the confidence level, in this case 90%, so Z=1.645 (this means that the area under the Normal N(0,1) between [-1.645,1.645] is 90%=0.9)
</em>
<em>p= the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year= 35% = 0.35
</em>
<em>q = 1-p = 0.65
</em>
<em>e = the error proportion = 2% = 0.02
</em>
Making the calculations
So, the sample size should be 1,539 young urban people (ages 21 to 35 years)
Answer:
1. a reflection over one of the square's sides
2. a rotation of 90: clockwise about the squares center
3. a rotation of 180' clockwise about the square's center
Step-by-step explanation:
I did a test :)
X + k y = 1
k x + y = 1 / * ( - k )
----------------
x + k y = 1
- k² x - k y = - k
--------------------
x - k² x = 1 - k
x ( 1 - k² ) = 1 - k
x = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
y = 1 - k( 1 - k )/( 1 - k² )
y = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
a ) For k = - 1 this system has no solution.
b ) For k ≠ - 1 and k ≠ 1, the system has unique solution:
( x , y ) = ( 1/ (1 + k) , 1/( 1 + k ) ).
c ) For k = 1, there are infinitely many solutions.
Answer:
$59.96
Step-by-step explanation:
Given:
The science club has raised $154. 24 to buy food for a polar bear cub at the zoo.
It costs $53.55 to feed the cub each week.
Question asked:
How much more money does the club need to raise to feed the cub for one month (four weeks)?
Solution:
Cost of feed for the cub for 1 week = $53.55
Cost of feed for the cub for 4 weeks = $53.55
4 = $214.20
Money raised by the science club = $154. 24
More money needed by science club = Cost of feed for 4 weeks - Money raised by the science club
More money needed by science club = $214.20 - $154. 24
= $59.96
Thus, the science club will be needed $59.96 more money for one month (four weeks) feed.