Answer:
- 1. <em>For the amount to double</em>: <u>9.37 years</u>
- 2. <em>For the amount to triple</em>: <u>14.85 years</u>
Explanation:
The equation for continuosly compounded interest is:
Where:
- P is the amount that you invest today: $1,300
- F is the value after t years: the double or triple of $1,300
- r is the annual interest rate: 0.074
<u>1. For the amount to double:</u>
Substitute the values and solve for t:
<u>2. For the amount to triple:</u>
<u />
Answer:
95% of 55 trucks will have weights between 5915.5 lbs and 6084.5 lbs
Explanation:
Complete question:
Crossett Trucking Company claims that the mean weight of its delivery trucks when they are fully loaded is 6,000 pounds and the standard deviation is 310 pounds. Assume that the population follows the normal distribution. Fifty-five trucks are randomly selected and weighed. Within what limits will 95% of the sample mean occur
- Subtract 1 from sample size to find degree of freedom(df). Here sample size is 55,so
df= 55-1= 54
- To determine α, subtract confidence interval from 1 and then divide by 2. Here confidence interval is 95% or 0.95, so
α= (1-0.95)/2= 0.025
- Use t-distribution table(see attachment) to find t-value for α=0.025 and df=54. So t=2.021(since df=54 is not listed in the table, I have used the table row corresponding to the next lowest value of df that is 40)
- divide sample deviation, 310, by root of sample size that is 55. So,
= 41.8
- Now multiply the answers from last two steps 41.8 × 2.021= 84.5
- lower limit= 6000-84.5=5915.5
- upper limit= 6000+84.5=6084.5
95% of 55 trucks have weights between 5915.5 lbs and 6084.5 lbs
Answer:
Gain= $63,000
Explanation:
<u>First, we need to calculate the book value:</u>
<u></u>
Book value= purchase price - accumulated depreciation
Book value= 250,000 - 35,000
Book value= 215,000
<u>Now, the gain or loss from the sale:</u>
Gain/loss= selling price - book value - selling expense
Gain/loss= 290,000 - 215,000 - 12,000
Gain= $63,000
There are six steps for a cost-benefit analysis. These are the steps:
Step 1.
<span>Understand the cost of status quo.
Step 2
Identify cost.
Step 3.
Identify benefits
Step 4
Determine the cost saving
Step 5
</span><span>Create a timeline for expected costs and revenue
</span>
Step 6
<span>Evaluate non-quantifiable benefits and costs
</span>
So those are the six steps that will help you produce a meaningful and actionable cost-benefit analysis
