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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Answer:
m=-8/3
Step-by-step explanation:
1/m+4=3/4
cross multiply over the equal sign
1×4=3(m+4)
4=3m+12
combine the like terms
4-12=3m
-8=3m
divide by 3
-8/3=3m/3
m=-8/3
7(2x + 3) + 2(2x + 4)
Distribute/multiply 7 into (2x + 3), and distribute 2 into (2x + 4)
(2x(7) + 3(7)) + (2x(2) + 4(2))
14x + 21 + 4x + 8 Combine like terms
18x + 29
Answer:
B and D
Step-by-step explanation:
It is an Acute triangle because all the angles are acute, meaning all the angles are less than 90°.
It is an Equilateral triangle because all the sides are equal. Shown in the picture, the lines going through all the sides mean that they are all the same length.