Answer:
12k+8
Step-by-step explanation:
(3k+2)x4
(4x3K)+(4x2)
12k+8
Answer: 9.9 years
Step-by-step explanation:
We have an interest of 7.25%, compounded continuously, we can write this as:
P = A*e^(r*n)
where:
P is the total balance after n years.
A is the initial investment.
r is the ratio of increase, in the case of a continuous compound, this will be:
r = Ln(1 + 7.25%/100%) = Ln(1 + 0.0725) = 0.070
n is the time in years.
Then we want to have our initial investement doubled, this means:
P = 2*A
let's find n for this situation:
P = 2*A = A*e^(0.070*n)
2 = e^(0.070*n)
Now we can apply the Ln() to both sides, remember that:
Ln(e^x) = x
Then:
2 = e^(0.070*n)
Ln(2) = Ln(e^(0.070*n)) = 0.070*n
Ln(2)/0.070 = 9.9
So we need 9.9 years to double the initial investment.
It’s 986 you can just use the calculator
15 and 20, because 15+20=35 and 15×20=300
The constant of proportionality is usually presented as the variable k. It is usually written as:
f(x) = kx
where f(x) means a function of x. It can also be another variable, for example, y,
We test each pair to find k,
24 = 6k
k = 24/6 = 4
72 = 18k
k = 72/18 = 4
216 = 54k
k = 4
648 = 162k
k = 4
Thus, the answer is A. yes and k=4.
