Answer:
X= 32
Step-by-step explanation:
Since g(x) varies with x, therefore:
g(x) = k/x where k is a constant.
So, first we need to get k. We are given that g(x) = 0.2 when x = 0.1
Substitute with these values to get k as follows:
g(x) = k/x
0.2 = k/0.1
k = 0.2*0.1 = 0.02
Now, the equation became:
g(x) = 0.02 / x
We need to get the g(x) when x = 1.6
Therefore, we will substitute with x in the equation and calculate the corresponding g as follows:
g(x) = 0.02 / 1.6
g(x) = 0.0125
Answer:
The amount becomes $6964.53 after 3 years .
Step-by-step explanation:
Formula

Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .
As given
Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .
P = $6000
5% is written in the decimal form.

= 0.05
r = 0.05
t = 3 years
Putting all the values in the formula




Therefore the amount becomes $6964.53 after 3 years .
24x⁶ - 1029y³ =
3(8x⁶ - 343y³) =
3((2x²)³ - (7y)³) =
3(2x²-7y)(4x⁴ + 14x²y + 49y²)
Answer is <span>D) All of the above.</span>