Answer: (i) A = 2500 (
(ii) A =$ 4,974.47
Step-by-step explanation:'
The exponential function is given as :
A = P
Where :
A = amount
P = principal
r = rate %
n = number of years
substituting , the exponential function to model the situation becomes
A = 2500 (
(ii) when n = 20 , the Amount becomes
A = 2500(
A =$ 4,974.47
For 3 cups... vanilla needed - 1 teaspoon
for 1 cup...vanilla needed- 1/3 teaspoon
for 5 cups, vanilla needed- 5/3 teaspoon
In short , 1.67 or 5/3 teaspoon of vanilla is needed for 5 cups of floor
Answer:
-2
Step-by-step explanation:
15x+6=6x-12
15x-6x=-12-6
9x=-18
x=-2
Solution:
The permutation formula is expressed as

The combination formula is expressed as

where

Given that 6 objects are taken at a time from 8, this implies that

Thus,
Number of permuations:

Number of combinations:

Hence, there are 28 combinations and 20160 permutations.
Answer:
The total mechanical energy is 0.712 J.
Step-by-step explanation:
A blue 573 g mobile is moving on a metal rail. If on the mobile, the spring exerts a force to the right of modulus 0.85 N and in the indicated position the kinetic energy of the mobile-spring system is 0.47 J and its elastic potential energy is 0.242 J. Determine the mechanical energy of the system mobile-spring in the position shown as indicated in the figure.
The total mechanical energy is given by the sum of the kinetic energy and the potential energy.
Kinetic energy = 0.47 J
Potential energy = 0.242 J
The total mechanical energy is
T = 0.47 + 0.242 = 0.712 J