You have set a goal of saving $4,000 every year, beginning the year you finish school and start working and lasting until you re

Answer:

The final amount is $59,330.13.

Explanation:

Based on the information provided, the data is as follows:

Principal amount (P) = $25,000

Annual interest rate (r) = 2.5%

Investment duration (T) = 35 years

We can find the total amount using this formula:

CI = P (1 + R)^T

= $25,000 (1 + 0.025)^35

= $25,000 (2.37320518607)

= $59,330.13

Therefore, the total investment value is $59,330.13.

Answer:

16.9816 psia

Explanation:

To determine the absolute pressure at the tube's bottom, we must add atmospheric pressure to gauge pressure.

Gauge pressure accounts for contributions from water columns () and mercury (), allowing us to derive the contribution of each as:

(*)

where represents density, g is gravity, and h is height.

With all necessary data available to apply the above equations (, height, and density of each fluid), we must be diligent about unit consistency.

For clarity, we can express all pressure contributions in mmHg ( , , and ). The units "x" mmHg indicate the pressure at the bottom of a mercury column that is "x" mm tall. In this case, a 12.1 cm Hg column equals 121 mmHg (conversion from cm to mm requires multiplying by 10) showing the pressure exerted is 121 mmHg.

For a water pressure at 5.6 cm (56 mm), it equals 56 mm of water. However, this differs from mmHg because water's density is less than mercury's, resulting in 1 mm of water exerting less pressure than 1 mm of Hg. The conversion between mmHg and mm of water relies on their densities.

Thus, water pressure in mmHg is calculated as

The absolute pressure is computed as:

To convert to dyn/cm^2 units, we will utilize equation (*)

Note: It is essential to maintain cm Hg for uniformity.

Next, to convert from dyn/ to kN/ (or kPa), we must remember that 1 dyn equals kN and that 1 is .

Finally, transitioning from kN/ to psia, we must take into account that 1 psia equals 6.89476.

The average number of customers present in the system is 5. Explanation: Given information includes a customer arrival rate of 10 per hour and an average processing time of 5 minutes per customer. To determine the average number of customers, the servicing rate per hour is calculated as 60 minutes divided by 5 minutes, resulting in 12 customers per hour. Consequently, the average number of customers in the system can be deduced as 10 divided by 2, equaling 5 customers.

The first step is to eliminate other possibilities, such as an error from the computer distributor.

The mean is represented as μ = 58 and the standard deviation σ = 5. With given values of x₁ = 48.5 and x₂ = 60, we compute t-values through the formula t = (x₂ - μ) / σ, which leads to t = (60 - 58) / 5 = 0.4, yielding an area of 0.1554 from the normal distribution curve. Similarly, for the lower value, t is computed as (μ - x₁)/ σ, resulting in t = (58 - 48.5) / 5 = 1.9 with an area of 0.4713. Totaling these, the total area under the curve is 0.4713 + 0.1554 equating to 0.6267 or 62.67%.