The amount owed increases by $85 in two weeks.
<span>If the loan were "rolled over" at that point at the same interest rate, and this were done for a full year, the total amount owed would be </span>
<span>(1285/1200)^26 * $1200 </span>
<span>If we subtract the original principle, $1200, and calculate the rest (the compounding interest) as a percentage of that principle, we get </span>
<span>[(1285/1200)^26 * $1200 - $1200] / $1200 = 493%</span>
Answer:
The area of the square is 225 cm².
Step-by-step explanation:
Since the geometric figure has a shape of a square, which is a special form of rectangle that has all the sides with the same length, then it's surface area is given by the following formula:
area = length*width = length^2
We can solve for the area by applying the data from the problem, we have:
area = (15)^2
area = 225 cm^2
The area of the square is 225 cm^2.
Answer:
- x -4 = (-3/2)(y +1)^2
- vertex: (4, -1)
- focus: (3 5/6, -1)
- directrix: x = 4 1/6
Step-by-step explanation:
To get your desired form, you must divide the equation by -2. Then you have ...
x -4 = (-3/2)(y +1)^2
This form shows you the vertex is (h, k) = (4, -1).
When the scale factor "a" is written as 1/(4p), then the value of p is the distance from the focus to the vertex. We can find p from ...
(-3/2) = 1/(4p)
p = 1/(4(-3/2)) = -1/6
Since the parabola opens to the left, the focus is ...
(4-1/6, -1) = (3 5/6, -1)
and the directrix is in the opposite direction, at x = 4 1/6.
After the first day, 1/3 of the original amount remained:
... (1/3)·45 = 15
After the second day, 2/3 of that amount remained:
... (2/3)·15 = 10
The bookstore has 10 copies left.
