Answer: To find the value of the annuity for the indicated monthly deposit amount, number of deposits, and interest rate, we can use the following formula:
```A = PMT * ((1 + r/n)^(nt) - 1) / (r/n)```
Where:
- A is the value of the annuity
- PMT is the monthly deposit amount
- r is the interest rate
- n is the number of compounding periods per year
- t is the total number of years
In this case, the values are:
- PMT = $150 (monthly deposit amount)
- r = 0.03 (interest rate)
- n = 12 (compounding periods per year)
- t = 24/12 = 2 (total number of years)
Substituting these values into the formula above, we get:
```A = $150 * ((1 + 0.03/12)^(12*2) - 1) / (0.03/12)```
Simplifying this expression gives us:
```A = $150 * (1.0275^24 - 1) / 0.0025```
Evaluating this gives us:
```A = $3,789.09```
Therefore, the value of the annuity is $3,789.09.
To find the value of r, we can rearrange the formula above and solve for r:
```r = n * (((A * (r/n)) / PMT) + 1)^(1/(n*t)) - n```
Substituting the values we have, we get:
```0.03 = 12 * (((3789.09 * (0.03/12)) / 150) + 1)^(1/(12*2)) - 12```
Solving this equation gives us:
```r = 0.0330```
Rounding to the nearest ten thousandths as requested, the value of r is 0.0330.
Which procedure should a student follow to model the role of gravity in the water cycle? A) Use an eye dropper to drop water onto a pile of soil. B) Fill a cup halfway with water and place it under a lamp for 24 hours. C) Place a bowl of crushed ice on a counter at room temperature for 12 hours. D) Put a bowl full of water on a table and allow a fan to blow across the surface of the water.
To model the role of gravity in the water cycle, the most suitable procedure would be: Put a bowl full of water on a table and allow a fan to blow across the surface of the water. The correct option is D.
The water cycle involves the movement of water through various processes such as evaporation, condensation, and precipitation, all of which are influenced by gravity.
In this procedure, placing a bowl of water on a table represents a body of water, and allowing a fan to blow across the surface mimics the wind or air movement. As the fan blows, it creates air currents that simulate the movement of air in the atmosphere.
The role of gravity comes into play as the water in the bowl is subject to the force of gravity, causing it to flow and potentially evaporate.
The fan blowing across the surface helps to simulate the process of evaporation and the movement of water vapor in the atmosphere.
Therefore, option D) is correct.
For more details regarding water vapor, visit:
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