
<em><u>Solution:</u></em>
Given that,

<em><u>Use the following log rules</u></em>
Rule 1: 
Rule 2: 
Rule 3: 

Break 162 down to primes:


Thus we get,

Next

Break 324 down to primes:


Next

By rule 2

Next

By rule 2

Thus the given are evaluated in terms of x and y
Answer:
106.8 in.
Step-by-step explanation:
The circumference of a circle:
C = 2πr
Substitute the given information into the formula.
C = 2(3.14)(17) = 106.8
The perimeter of a rectangle:P = 2 L + 2 W
L ( length ) = 5.50 mW ( width ) = 12.0 mP = 2 * 5.50 + 2 * 12.0 = 11 + 24 = 35 mThe area of a rectangle:A = L x W
A = 5.50 * 12.0 = 66 m²Answer: 35, 66
Answer:
The exact interest on $5,870 at 12% is $410.9
Step-by-step explanation:
From the information provided we know that
Principal amount: $5,870
Interest rate: 12% -> 0.12
Time: 7 months (From June to December)
When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

where P is principal, r is the rate of interest and t is the time in years.
We need to convert the 7 months into 1 year.

Now we can use the above formula

Therefore the exact interest on $5,870 at 12% is $410.9