Answer: <em>3. The correct option is: A) 3.57 decibels.</em>
<em>6. The correct option is: B) 
</em>
Step-by-step explanation:
3. Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.
So, 
and 
Using the formula 
, we will get.....
<em>(Rounded to the nearest hundredth)</em>
So, the loudness would be reduced by 3.57 decibels.
6. Given expression is: 
First applying the property 
, we will get.....
Now using the formula, 
, we will get....
Thus, the answer as a single natural logarithm is
Answer:
-2.8h-26+5d
Step-by-step explanation:
So just combine like terms
For the h, you’d get -2.8
For the d, you’d get 5
For the normal integer, -26
Answer:
Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.
Step-by-step explanation:
We use the Total Amount generated using compound interest formula to solve this question
Formula =
Total Amount(A) = P(1 + r/n)^nt
a) For Harrison
Principal = $200
Interest rate = 2% = 0.02
Time = 2 years
n = compounding quarterly = 4
A = P(1 + r/n)^nt
A = $2,000(1 + 0.02/4)^2×4
A = $2,000(0.005)^8
A = $ 2081.4140878
A = $ 2,081.41
b) For Sherry
Principal = $200
Interest rate = 4% = 0.04
Time = 2 years
n = compounding monthly = 4
A = P(1 + r/n)^nt
A = $2,000(1 + 0.04/12)^2×12
A = $2166.2859184
A = $ 2,166.29
The Total Amount for
Harrison = $ 2,081.41
Sherry = $ 2,166.29
Hence, from the above calculation, Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.
Answer:
Option C
Step-by-step explanation:
By the property of a rectangle,
"All interior angles of a rectangle measure 90°"
Therefore, m∠ABC = 90°
By applying cosine rule in the right triangle ABC,
cos(∠CAB) = 
cos(25°) = 
AC = 
AC = 
AC = 19.86
Therefore, Option C will be the answer.
Answer: The answer would be 0.6
Step-by-step explanation:
The equivalent form of 3/5 is 0.6, decimal form. The reason for this is because five goes into three only 0.6 times, so you divide the denominator by the numerator to get the equivalent, or decimal, form.
