Answer: 
Step-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is given as:

first term = -15
common difference = -6 - (-15) = 9
number of terms
substituting into the formula , we have :


This is the answer in exact form
Answer:
$12.31
Step-by-step explanation:
Think of the original rate of pay as being 100%.
If your rate is increasing by 7%, it will now be 107% of the original rate (since 100% + 7% = 107%)
To find 107% of $11.50, convert 107% into a decimal
⇒ 107% = 107/100 = 1.07
then multiply this by the original rate to get the new increased rate:
⇒ $11.50 × 1.07 = $12.305
Rounding this to the nearest hundred = $12.31
Alternatively, you can find 7% of $11.50 and then add this to $11.50.
⇒ 7% = 7/100 = 0.07
Therefore, 7% of $11.50 = 0.07 × $11.50 = $0.805
Add this to the original rate:
$11.50 + $0.805 = $12.305
Rounding this to the nearest hundred = $12.31
Answer:
I. $291.67 per passenger
II. $583.33 per passenger
Step-by-step explanation:
The cost of flying the passenger plane from A to B is $70,000.
If the Capacity of the plane is 240 people.
(I)At 7A.M and 4P.M., the average cost per passenger is given as:
Average Cost=Total Cost/Number of Passengers
=70000/240=$291.67 per passenger
(II)At 10AM and 1PM, the flight is only half full, it has 120 passengers.
Average Cost = 70000/120=$583.33 per passenger
Answer:
5.7 meters
Step-by-step explanation:
The Pythagorean theorem can be used to find the second leg (b) of a triangle with diagonal (c) 6 meters and first leg (a) 2 meters.
c^2 = a^2 + b^2
6^2 = 2^2 +b^2
b^2 = 36 -4 = 32
b = √32 ≈ 5.7 . . . . meters
The kitchen is about 5.7 meters long.