Answer:
12 hours
Step-by-step explanation:
Let the number of hours be represented as h.
Sarah's surfboards charges a fee of $60 to rent a surfboard and then $10.50 per hour.
Mathematically ,
60 + 10.50h
Sally's surfboards does not charge a fee, but they cost $15.50 per hour
Mathematically,
15.50h
Equating both equations together
60 + 10.50h = 15.50 h
Collect like terms
60 = 15.50h - 10.50h
60 = 5h
h = 60/5
h = 12 hours
Therefore, the number of hours that the cost will be the same to rent a surfboard for each shop is 12 hours.
Answer:
A
Step-by-step explanation:
We have to determine the future value of the annuity to determine which account has a greater value
Future value = Amount x annuity factor
annuity factor = Annuity factor = {[(1+r)^n] - 1} / r
Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14
Account B = 250 x[ (1.051)^15 - 1 ] / 0.051 = $5435,42
Account A will be greater
In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q
Use the polynomial remainder theorem. It says that a polynomial 
has remainder 
upon division by 
.
Here we have
and 
, so the remainder is
All of the centra angles in a regular polygon must add up to 360 degrees. Also, because you're told that it is a regular polygon, the "regular" indicates that all of the central angles will be the same. Divide 360 degrees by 18 degrees to get the number of central angles, which is the same as the number of sides. 360/18 = 20. Therefore, the polygon has 20 sides. Hope that helps!
