The "compound amount" formula is A = P(1+r/n)^(nt),
where P=original investment, r=interest rate as a decimal fraction; n=number of compounding periods, and t=number of years.
Then A = $12000 * (1+0.08/2)^(2*11)
= $12000(1.04)^(22) = $28,439.03 (answer)
Answer:
8.2
Step-by-step explanation:
(4.5)^2+(6.9)^2=c^2
20.25+47.61=67.86
sqrt of 67.86= 8.2 (rounded already) :)
We need to solve for the height of the tree given two angles and distance between the two observers. See attached drawing for a better understanding of the problem.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)
sin 45 (100-x) = xsin30
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44
Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22
The height of the tree is 29.22 feet.
Adam should invest $15516 after 18 years.
<u>Explanation:</u>
Given:
Amount(18) = $20000
Rate of Interest, r = 1.41%
Time, t = 18 years
n = 365 (compounded daily)
General equation of amount that is compounded daily:

Solving for A₀:

Substituting the values:

Therefore, Adam should invest $15516 after 18 years.