The applicable formula is
A = P(r/12)/(1 -(1+r/12)^(-12n))
where P is the principal amount,
r is the annual interest rate (compounded monthly), and
n is the number of years.
Using the formula, we find
A = 84,400*(0.04884/12)/(1 -(1+0.04884/12)^(-12*15))
= 84,400*0.00407/(1 -1.00407^-180)
= 343.508/0.518627
≈ 662.34
The monthly payment on a mortgage of $84,400 for 15 years at 4.884% will be
$662.34
Answer:
19.37.
Step-by-step explanation:
Integrating the function we get
x^4/4 - 5x^3/3 + x^2 + 8x
Area under the curve from x = -1 to x = 0
= (-1)^4/4 - 5(-1)^3/3 + (-1)^2 - 8
= 5.083
In a similar way we calculate area from 0 to 2
this = 10.667.
Total = 15.75.
Now we subtract 12.13 to get the area from x = 2 to x =p.
= 15.75 - 12.13 = 3.62
So total shaded area = 15.75 + 3.62
= 19.37.
Answer:
a. 
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth): 
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:
Answer:
vertex
Step-by-step explanation:
vertex
If the coefficient a > 0, then the parabola opens upward and the vertex is the lowest point on the parabola. We say that k is the minimum value of the quadratic function. On the other hand, if the coefficient a < 0, then the parabola opens downward and the vertex is the highest point on the parabola.
Answer:
514.5552
Step-by-step explanation:
:)
