Answer:

Step-by-step explanation:
The given initial value problem is;

Let

Differentiating both sides of equation (1) with respect to
, we obtain:

Differentiating both sides of equation (2) with respect to
gives:

From equation (1),

Putting t=0 into equation (2) yields

Also putting t=0 into equation (3)

The system of first order equations is:

To solve this, you just multiply 4 by 128 to get 512. Then you divide 512 by 6 to get a number of cups to be about 85.
Answer:
C. But be careful. It depends if you have been told what I was having trouble with.
Step-by-step explanation:
The question is a little unclear. If the actual interest is constant for all situations, the answer is C. The more times you compound, the more interest you will accumulate. Banks don't do it that way. It they compound every three months, then they cut the interest rate by a quarter.
So the interest would look like (1 + 0.022/4)*principle. Whoever made the question has to make clear what is going on. My guess is the intended answer is C.
Complete question :
The diameter of the ferris Given is 63 feets
Answer:
3165 feets
Step-by-step explanation:
Given that :
Diameter of ferris = 63 feets
Recall :
Circumference of a circle = 2 * pi * Radius
Or
Circumference = pi * d
Hence,
Circumference of wheel = 3.14 * 63 = 197.82 feets
Distance traveled during one ride :
Circumference of wheel * number of revolutions
197.82 * 16 = 3165.12
= 3165 feets (nearest whole number)
Answer:
x is EQUIVALENT to 2.89
Step-by-step explanation: