Number of thousands on the amount of the loan is
85,290÷1,000=85.29
Monthly payment is
85.29×8.05=686.58
Volume = 1/3 * area of base * height
= 1/3 * 11^2 * 12
= 484 cm^3
A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero.
t(x)=(x+5)^3+7
dt/dx=3(x+5)^2
d2t/dx2=6(x-5)
dt/dx=0 only when x=-5
However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.
So there is no turning point for this function.
Now in this problem, it is even easier than the above to show that there is no turning point. A turning point by definition is when the derivative or velocity changes sign. Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.
Answer:
65 miles
Step-by-step explanation:
using the Pythagorean theorem:
56²+ 33² = d²
d² = 4225
d = 65 miles
