Answer:
The value of the fund today is $13831.72
Explanation:
Let us calculate the value at the end of each year, step by step. An annual decrease of 3% corresponds to a multiplier 1.0-0.03 = 0.97. An increase of 7% corresponds to 1.07.
Value at the end of
year 1: 12000 * 0.97
year 2: 12000 * 0.97 * 0.97
year 3: 12000 * 0.97 * 0.97 * 1.07
year 4: 12000 * 0.97 * 0.97 * 1.07 * 1.07
year 5: 12000 * 0.97 * 0.97 * 1.07 * 1.07 * 1.07 = 13831.72
The value of the fund today (end of year 5) is $13831.72
Answer:
70.9pi rad/s
Explanation:
angle turned through = 16
angular acceleration = 22.6 rad/s2
angular speed = 10.2 rad/s
time = ?
angular acceleration = angular speed/time
time = 10.2/22.6
time = <u>0</u><u>.</u><u>4</u><u>5</u><u> </u><u>s</u><u>e</u><u>c</u><u>o</u><u>n</u><u>d</u><u>s</u>
<u>angular speed</u><u> </u><u>=</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>t</u><u>u</u><u>r</u><u>n</u><u>e</u><u>d</u><u> </u><u>t</u><u>h</u><u>r</u><u>o</u><u>u</u><u>g</u><u>h</u><u>/</u><u>t</u><u>i</u><u>m</u><u>e</u>
<u>angular speed</u><u> </u><u>=</u> (16 × 2pi)/0.45
= 70.9pi rad/s
Thermodynamics is the branch of physical science which deals with the relationship between heat and other forms of energy like chemical energy, mechanical or electrical. Here are examples of thermodynamics that are commonly seen in everyday living: When you accidentally wrecked or bumped your car, you came out alive and just slightly hurt, because it was the car that that absorbed the energy of the impact. Another example is that, during cooking. When you are cooking, the heat is being transferred to the pan and then to the food that you are cooking.
Answer:
<u>40 m/s</u>
Explanation:
The final velocity of an object that experiences a period of acceleration is given by:
v - vi = A*t
Initial velocity, vi, is = 20m/s
Acceleration, A, is 4m/2^2
Time, t, is 5 seconds
v - vi = A*t
v - 20m/s = (4m/2^2)/(5 sec)
v = (20 m/s) + (20 m/s)
v = 40 m/s
Your speed is one of the only factors that has an effect on both your thinking distance and braking distance. Put simply, the faster you are going, the greater the distance travelled before you apply the brakes (thinking distance) and the vehicle comes to a complete stop (braking distance).