<span>Treat the surface of the water as 0. The initial height of the weight was 4 ft above the surface of the water, therefore making it have an initial height of +4. If it travels 12 ft downward to hit the bottom of the pool, that means its height decreased by 12, so its falling is -12. To calculate the depth of the pool, use initial height minus drop distance, so 4 - 12. The depth of the pool is 8 ft.</span>
Answer:
That is asking you to find the sine of (3/4) PI radians.
If you look at the attached graphic, you will see that (3/4) PI radians = 135 degrees
Going to this calculator, we see that the sine of 135 degrees is 0.70711
https://www.1728.org/trigcalc.htm
Step-by-step explanation:
Answer: 20%
100 shares at $45each cost 100*45 = $4500
After a year, he sold the share at the rate if $52 each and it cost 52*100 = 5200
He received dividend of $2 on each dollars meaning 100*2 = $200
So,
$5200+200 = 5400
Profit = $5400 - 4500 = 900
%profit = 900*100 / 4500 = 20
Answer: the investment would be
$110.45
Step-by-step explanation:
Initial amount deposited into the account is $100 This means that the principal is
P = 100
It was compounded quarterly. This means that it was compounded 4 times in a year. So
n = 4
The rate at which the principal was compounded is 5%. So
r = 5/100 = 0.05
It was compounded for 2 years. So
t = 2
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 100 (1+0.05/4)^4×2
A = 100 (1.0125)^8
A = $110.45
