The number of years the amount has been in the venture account with 12% interest per year is 4.
<h3>What is compound interest?</h3>
Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
A sum of $2,500 was deposited in a venture account, which pays 12% compounded per year and it accumulated to $3,950.
Then the number of the years will be
We know the compound interest formula
![\rm A = P(1+r)^t](https://tex.z-dn.net/?f=%5Crm%20A%20%3D%20P%281%2Br%29%5Et)
where
A = Accumulated amount
P = Deposited value
r = rate of interest
t = time
Then we have
![3950 = 2500 (1.12)^t\\\\1.58\ =1.12^t](https://tex.z-dn.net/?f=3950%20%3D%202500%20%281.12%29%5Et%5C%5C%5C%5C1.58%5C%20%3D1.12%5Et)
Taking log both sides, then we have
![\rm \ln 1.58 = t \times \ln 1.12\\\\or \ \ \ \ t = 4.036 \approx 4 \ years](https://tex.z-dn.net/?f=%5Crm%20%5Cln%201.58%20%3D%20t%20%5Ctimes%20%5Cln%201.12%5C%5C%5C%5Cor%20%5C%20%5C%20%5C%20%5C%20t%20%20%3D%204.036%20%5Capprox%204%20%5C%20years)
Then the number of the years is 4.
More about the compound interest link is given below.
brainly.com/question/25857212
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<span>The sum of the two sides of the triangle must be greater than the third side, so
11 < third side < 21</span>
Answer:
26
Step-by-step explanation:
4,9,17,22,<u>24,28</u>,51,76,83,98
24+28=52
52/2=26
Dimensions of the room in cm = 2.54 x 12 by 15 x 2.54 by 2.54 x 8.5 = 30.48 by 38.1 by 21.59
Volume of the room in cubic cm = 30.48 x 38.1 x 21.59 cubic cm = 25,072.21 cubic cm
Given that the density of air at room temperature is
![0.00118g/cm^3](https://tex.z-dn.net/?f=0.00118g%2Fcm%5E3)
, thus the mass of air in the room = 25,072.21 x 0.00118 = 29.59 g = 0.0296 kg
Given that the lethal dose of HCN is approximately 300 mg HCN per kilogram of air when inhaled, thus the <span>amount of HCN that gives the lethal dose in the small laboratory room is given by 300 x 0.0296 =
8.88 mg.</span>