Answer:
A <em>plane</em> is a two-dimensional surface that can contain points, rays, and lines, including parallel lines.
Answer:
yes no total
girls 58 32 90
boys 52 40 92
total 110 72 182
Step-by-step explanation:
if 182 freshmen were surveyed and 110 said yes, then 182 - 110 = 72 said no
if 40 boys said no, then 72 - 40 = 32 girls said no
if 90 girls were surveyed, then 182 - 90 = 92 boys were surveyed
if 40 boys said no, then 92 - 40 = 52 said yes
if 32 girls said no, then 90 - 32 = 58 said yes
the answer is 0000000000000000
1. 259
2. 80
3. 5316
4. 5
5. 2524
Answer:
- $17,500 at 8%
- $17,500 at 14%
Step-by-step explanation:
The fraction that needs to be invested at the higher rate is ...
(11% - 8%)/(14% -8%) = 3%/6% = 1/2
Half the money should be invested at each of the rates:
$17,500 for 8% return
$17,500 for 14% return.
_____
If you let x represent the amount at the higher rate, then the total return is ...
14%x + 8%(35000 -x) = 11%(35000)
(14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000
x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x
Note that this formula is exactly the one we started with, above.
