Answer:
a) The present value is 688.64 $
b) The accumulated amount is 1532.60 $
Step-by-step explanation:
<u>a)</u><u> The preset value equation is given by this formula:</u>
where:
- T is the period in years (T = 10 years)
- r is the annual interest rate (r=0.08)
So we have:
Now we just need to solve this integral.
The present value is 688.64 $
<u>b)</u><u> The accumulated amount of money flow formula is:</u>
We have the same equation but whit a term that depends of τ, in our case it is 10.
So we have:
The accumulated amount is 1532.60 $
Have a nice day!
Answer: 30 degrees
Step-by-step explanation:
Corresponding angles of similar triangles are congruent.
Answer:
0.5 m/s
Falling at 32 feet/s
Step-by-step explanation:
For the first question, since it only asks for the average time between 2 and 8 seconds, those are the only two important values. When taking the inputs and outputs for 2 and 8 seconds after the throw ((2,3) and (8,6) respectively), we can take the average change by finding the change in y/change in x, so we have (6-3)/(8-2)=0.5 meters/second.
For the second question, we can similarly just take the values from the initial drop (144) and after two seconds (80) to get that the rate of change is (144-80)/(-2)=-32, so it's falling at 32 feet/second.
Let me know if you have any questions!
Answer:
Adding all the numbers together and dividing by the number of numbers
Example:
1, 3, 5, 6, 6, 6, 8, 8, 35, 46
Adding them together results in 124
124 divded by the number of numbers is 124 / 10 = 12.4
So the mean / median in this example is 12.4
(I think, hopefully this helps and I hope you have a nice day!)
