Answer:
Logarithms are the "opposite" of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication. Logs "undo" exponentials. Technically speaking, logs are the inverses of exponentials. On the left-hand side above is the exponential statement "y = bx
Step-by-step explanation:
Because x was *3 you had to y*3 which is
y=6
Answer:
$1445.11
Step-by-step explanation:
The formula to use would be:

Where
F is the future amount (what we want to find)
P is the present (principal) amount (this is 400)
r is the rate of interest, monthly (1.8% or 0.018)
t is the time in months (6 years = 6 * 12 = 72)
Now substituting, we get:

After 6 years, the CD will be worth $1445.11
The greatest common factor is 28.
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Then the greatest common factor is 28.
Answer: The answer is (D). Zhao Xue doesn’t have enough money left to buy any yofurt
Step-by-step explanation: Given that Zhao Xue is buying buy milk and yogurt, a total of at least 6.5 gallons of dairy products and she has a budget of $20. The given graph represents the constraints on the number of gallons of milk 'M' and yogurt 'Y' Zhao Xue buys. Zhao Xue buys 4 gallons of milk. We need to calculate the number of gallons of yogurt she can buy to meet both her constraints.
From the graph, we can write
Condition A :

Condition B :

Now, if she buys 4 gallons of milk, the the conditions become

Here, there will be no solution to these constraints.
Therefore, she does not have enough money left to buy any yogurt.
Thus, the correct option is (D).