Answer:
$1,161.83
1.51%
Step-by-step explanation:
Continuously compounded interest is:
A = Pe^(rt)
where A is the final amount,
P is the initial amount,
r is the rate per time,
and t is time.
Given P = 1000, r = 0.015, and t = 10:
A = 1000e^(0.015 × 10)
A = 1000e^(0.15)
A = 1161.83
The effective annual yield is the annually compounded rate needed to have the same yield after the same time. For continuously compounded interest, he equation for effective annual yield is:
R = -1 + e^r
R = -1 + e^0.015
R = 0.0151
The effective annual yield is 1.51%.
Using the relation between velocity, distance and time, it is found that:
- The rate of the plane in still air is of 140 mph.
- The rate of the wind is of 40 mph.
<h3>What is the
relation between velocity, distance and time?</h3>
Velocity is <u>distance divided by time</u>, that is:

A plane traveling with the wind travels 900 miles in 5 hours, hence:


The return trip is against the wind and takes 9 hours, hence:


From the first equation, we have that:
![v_w = 180 - v_a{/tex]Replacing on the second:[tex]v_a - v_w = 100](https://tex.z-dn.net/?f=v_w%20%3D%20180%20-%20v_a%7B%2Ftex%5D%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3EReplacing%20%3C%2Fstrong%3Eon%20the%20second%3A%3C%2Fp%3E%3Cp%3E%5Btex%5Dv_a%20-%20v_w%20%3D%20100)



[tex]v_w = 180 - 140 = 40{/tex]
Hence:
- The rate of the plane in still air is of 140 mph.
- The rate of the wind is of 40 mph.
More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569
Answer:
B: 144 yd²
Step-by-step explanation:
It's a square pyramid : Base area 8 x 8 = 64
4 side area:((8 x5) /2) x 4 = 80
Total area: 64 +80 = 144
Answer:
Graphs
Step-by-step explanation: