Follow the given formula. The initial amount of money invested, P, becomes 2P (same thing as "doubles) after t years. Since compounding is quarterly, n=4. The annual interest rate is 12%. That is, r=0.12.
Then we have 2P = P (1 + 0.12/4)^(4t) and need only solve for time, t.
Simplifying the above equation: 2 = (1.03)^(4t)
We must isolate 4t, and then isolate t. To do this, take the common log of both sides of the above equation. We get:
log 2 = (4t) log 1.03. This gives us 4t = [log 2] / [log 1.03], or
4t = 23.4498
Dividing both sides by 4, we get t = 5.86 (years).
Given:
An exponential function 
passes through the points (0, 12000) and (2, 3000).
To find:
The values of a and b.
Solution:
We have,
...(i)
It passes through the point (0,12000). Putting x=0 and f(x)=12000 in (i), we get
Given function passes through the point (2,3000). Putting x=2, a=12000 and f(x)=3000 in (i), we get
Taking square root on both sides.
For an exponential function b cannot be negative. So, 
.
Therefore, the value of a is 12000 and the value of b is 
.
Answer:
x= -b/2a
Step-by-step explanation:
hello :
y = ax²+bx+c .... (a≠0)
the equation of the axis of symmetry of this graph is : x= -b/2a
Answer:
164 meters
Step-by-step explanation:
Data
Width = 100 m
Length = 130 m
diagonal = ?
Process
1) To solve this problem, use the Pythagorean theorem
c² = a² + b²
where,
c = diagonal
a = length
b = width
2) Substitution
c² = (130)² + (100)²
3) Simplification
c² = 16900 + 10000
c² = 26900
4) Result
c = 164 m
3.905 would be 3.9047 rounded to the nearest 1000th
