Answer:
17 years
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r, compounded n times per year for t years.
Filling in the numbers and solving for t, we find ...
16826.03 = 8534(1 +.04/12)^(12t)
16826.03/8534 = 1.0033333...^(12t)
Taking logs, we have ...
log(16826.03/8534) = 12t·log(1.0333333...)
Dividing by the coefficient of t gives ...
log(16826.03/8534)/(12·log(301/300)) = t ≈ 17.000
It will take 17 years for the account balance to reach $16,826.03.
Answer:
1125 m
Step-by-step explanation:
Given equation:
where:
- h = height (in metres)
- t = time (in seconds)
<u>Method 1</u>
Rewrite the equation in vertex form by completing the square:
The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point). As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point. Therefore, the maximum height is the y-value of the vertex: 1125 metres.
<u>Method 2</u>
Differentiate the function:
Set it to zero and solve for t:
Input found value of t into the original function and solve for h:
Therefore, the maximum height is 1125 metres.
2b=12-18
2b=-6
b=-3
That is the answer
72 people questioned , 12 are going . that means that 16.6..% of which are going , 16.6....% is equal to 1/6 so 210 x 6 = 1260 . the number of students that attend the school would be 1260 if im right but if its how many students attended the play then it would be a 1/6 of 210 which is 35
