Answer:
a19 = -71.74
Step-by-step explanation:
The general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
The given 5th and 15th terms tell us ...
-3.7 = a1 +d(5 -1)
-52.3 = a1 +d(15 -1)
Subtracting the first of these equations from the second, we find ...
10d = -48.6
d = -4.86 . . . . . . divide by 10
The 19th term will be ...
a19 = a1 +d(19 -1)
Subtracting the 15th term from this, we find ...
a19 -a15 = 4d
a19 = 4d +a15 = 4(-4.86) +(-52.3)
a19 = -71.74
Since 1 person costs 50, and for each person after that the cost goes up by $5, we can conclude the following: There is a flat fee of $45 and each guest costs $5.
Since the entry fee is a flat charge and cannot change, and the amount per guest changes based on the number of guests, the variable goes after the 5.
This can be modeled as<em> $45 + $5x</em>. The only options that represent this are A and D. Since he wants his total to be under $100, The correct option would be <u>d. $45 + $5x < 100</u>. Otherwise, with answer A, he would come up with a total that goes over his limit.
Answer:
Step-by-step explanation:
Answer:
$0.86, or 86 cents
Step-by-step explanation:
5 = $ 4.30
1 = $ 0.86
$4.30/5 = $0.86, or 86 cents per pound.
Answer:
3*sqrt(6)
Step-by-step explanation:
1. sqrt(54) = sqrt(3^2*6)
2. factor our 3^2
