Answer:
.
Step-by-step explanation:
Given : 
= 128.
To find : what is the logarithmic form of the equation in base 10
Solution : We have given that = 128.
By th change base rule ( inverse of exponential function )
= c is equal to 
= b
Then = 128 in to logarithm form 
= x.
Then in to the base 10 logarithmic form.
By the change of base formula 
.
Then , .
Therefore, .
Answer:
120 different ways
Step-by-step explanation:
The formula to count the permutation since the order the matters: nPr = n! / (n - r)!, where n is the total number and r is the total number of chosen.
1) Substitute values into the formula. SMILE has 5 letters, and we choose 5.
5P5 = 5! / (5 - 5)!
5P5 = 5! / 0!
Zero factorial (0!) is always 1.
So, 5P5 = 5! / 1
5! = 5 × 4 × 3 × 2 × 1
5! = 120
Therefore, 5P5 = 120 / 1, which is 120. We can arrange the word SMILE in 120 different ways.
The answer is 13/40 or .325
If the boat initially cost $11850 and INCREASED in value by 10% per year, we'd calculate the final value like this:
V = $11850(1+0.10)^8
But if the boat is losing value (depreciating) over time, we'd calculate its final value like this:
V = $11850(1-0.10)^8 = $11850(0.90)^8 = $11850(0.4305) = $5101.04 (answer)
Answer:
b
Step-by-step explanation:
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