The interest on the first monthly payment is ...
I = Prt
I = 110,000*7.5%*(1/12)= 687.50
For the first payment, the interest is
$687.50
_____
The time period for the interest rate calculation is 1/12 year.
Answer:
B
Step-by-step explanation:
Answer:
(6,2)
Step-by-step explanation:
Variable Definitions:
x= the number of commercials
y= the number of movies
Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:
50x+150y=600
Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.
x=3y
Write System of Equations:
50x+150y=600
x=3y
Solve for y in each equation:
1) 50x+150y=600
150y=−50x+600
y=-1/3x+4
2) x=3y
y=1/3x
The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:
Emily's songs were played on 6 commercials and 2 movies.
Answer:
Step-by-step explanation:
We need to find the equation of parabola using given information
- Vertex: (0,0)
- Open to the left
- Focal width = 12
If parabola open left and passes through origin then equation is
Focal width = 12
Focal width passes through focus and focus is mid point of focal width.
Focus of above parabola would be (-a,0)
Passing point on parabola (-a,6) and (-a,-6)
Now we put passing point into equation and solve for a
a can't be negative.
Therefore, a=3
Focus: (-3,0)
Equation of parabola:
Please see the attachment of parabola.
Answer:
Lewie Survey produces less valid result.
Step-by-step explanation:
Given:
1. Kelvin surveys every other person leaving the food area.
2. Lewie surveys every fifth person leaving the mall's main entrance.
Therefore,
Kelvin will able to produce valid result as he is surveying every person who is leaving food court.
Means,
There are high chances that would have bought food from the court.
Whereas,
Lewie is surveying every fifth person leaving the the mall's entrance.
Therefore,
Here probability to produce valid result is less as they may have not buy food or they may visited other shops.
So, Lewie survey will produce less valid result.
