Answer: Hillary would have to invite 15 people before the cost of having the party at Hotel B is less than the cost of having a party at Hotel A
Step-by-step explanation:
Let x represent the number of guests that Hillary would invite.
The banquet hall at Hotel A will cost $431 to rent the room and $38 per guest. This means that the total cost of hosting x guests at hotel A is
38x + 431
The banquet hall at Hotel B will cost $747 to rent the room and $16 per guest. This means that the total cost of hosting x guests at hotel B is
16x + 747
For the cost of having the party at Hotel B to be less than the cost of having a party at Hotel A, it means that
16x + 747 < 38x + 431
747 - 431 < 38x - 16x
316 < 22x
22x > 316
x > 316/22
x > 14.36
Answer:
13/20
Step-by-step explanation:
find the greatest common denominator
Answer: - 2
Step-by-step explanation:
(1/36)^n = 216^n+5
(1/6^2)^n = (6^3)^n+5
(6^-2)^n = (6^3)^n+5
Opening the brackets
6^-2n = 6^3n+15
-2n = 3n + 15
collecting like terms
-2n - 3n = 15
-5n = 15
divide both sides by - 5
n = 15/-5
n = - 3
Answer:
$8.5
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
<em>Dave also starts a new job, but his hourly pay starts at $7.25. Suppose that he gets a 40¢-per-hour raise each year.
What will Vicky’s hourly pay be in 3 years</em>
My answer:
Given:
- Rate per hour: $7.25.
- Hour raise each year: 40¢-
=> the percentage of rate increasing:
(40¢ / $7.25)*100%
= (40¢ / 7.25*100¢)*100%
= 5.5%
What will Vicky’s hourly pay be in 3 years
This is a compound growth problem. The formula is:

<=> F = 
<=> F = $8.5
So the rate after three years is $8.5
Hope it will find you well.